2017
3
3
0
71
Using the Matrix Method to Compute the Degrees of Freedom of Mechanisms
2
2
In this paper, some definitions and traditional formulas for calculating the mobility of mechanisms are represented, e.g. Grubler formula, Somov  Malyshev formula, and Buchsbaum  Freudenstei. It is discussed that there are certain cases in which they are too ambiguous and incorrect to use. However, a matrix method is suggested based on the rank of the Jacobian of the mechanism and its application is investigated. It is shown that the matrix method will definitely lead to a correct answer; however, it is lengthy and consumes more computational effort. It is shown that in the cases the traditional formulas give a wrong answer and the matrix method gives the correct mobility. To compare the methods, several examples are given including the four bar planar linkage, the augmented four bar linkage, University of Maryland manipulator, Cartesian parallel manipulator (CPM), delta robot, orthoglide robot, and H4 parallel robot.
1

158
170


Kambiz
Ghaemi Osgouie
University of Tehran, Kish International Campus, Kish Island, 7941655665, Iran
University of Tehran, Kish International
Iran
kambiz_osgouie@ut.ac.ir


Bahman
Gard
University of Tehran, Kish International Campus, Kish Island, 7941655665, Iran
University of Tehran, Kish International
Iran
bahmanguard@gmail.com
Degrees of Freedom
Grubler’s exceptions
Jacobian rank
[[1] Gogu, G. “Chebychev–Grübler–Kutzbach's criterion for mobility calculation of multiloop mechanisms revisited via theory of linear transformations.” European Journal of MechanicsA/Solids 24, 3, pp. 427441, 2005. ##[2] Tsai, L.W. “The mechanics of Serial and Parallel manipulators”. New York, NY: John Wiley and Sons, ISBN 0471325937, 1999. ##[3] Tsai, L.W. “Mechanism design: enumeration of kinematic structures according to function”. CRC press, 2000. ##[4] Ruzinov, L.D. “Design of Mechanisms by Geometric Transformations. Iliffe, 1968. ##[5] Buchsbaum, F., Freudenstein, F. “Synthesis of kinematic structure of geared kinematic chains and other mechanisms.” Journal of Mechanisms 5, 3, pp. 357392, 1970. ##[6] Paul, B. “A unified criterion for the degree of constraint of plane kinematic chains” Journal of Applied Mechanics 27, 1, pp. 196200, 1960. ##[7] Whittaker, E.T. “A treatise on the analytical dynamics of particles and rigid bodie”s. Cambridge University Press, 1988. ##[8] LeviCivita, T. “The absolute differential calculus (calculus of tensors).” Courier Corporation, 1926. Reprint by Dover Publications, 1977. ##[9] Freudenstein, F. “On the variety of motions generated by mechanisms.” Journal of Engineering for Industry 84(1), pp.156159, 1962. ##[10] Litvin, F.L. “Application of theorem of implicit function system existence for analysis and synthesis of linkages” Mechanism and Machine Theory 15(2), pp. 115125, 1980. ##[11] Burton, P., Huston, R.L. “Kinematics and Dynamics of Planar Machinery.” Journal of Applied Mechanics 47, 459, 1980. ##[12] Di Benedetto, A., Pennestrı, E. “Introduction to Mechanism Kinematic”s. Casa Editrice Ambrosiana in Italian, 1993.##]
VOC level control by ventilation improvement of Flexography printing room using CFD modeling
2
2
Using Computational Fluid Dynamics (CFD) technique, the dispersion contours and the exposure rate of Flexographic printing workers to VOCs in a printing department is evaluated. Firstly, VOCs distribution is determined in the printing room due to the existing ventilation system. Through next steps, 4 scenarios for lowering VOCs concentration and its exposure rate to workers are analyzed. Concentration distributions of ethylene glycol (MEG) as a representative of VOCs are determined for 4 scenarios. The results show that, regarding the existing ventilation, the concentration of MEG at the breathing height is 1×105 mg/m3 and it is higher than the standard permissible level. Finally, the findings of this study lead to lowered VOCs concentrations to 13.87×109 mg/m3 via changing the ventilation system for the Flexography Printing Room.
1

171
177


Kamal
Hadad
School of Mechanical Engineering, Shiraz University, Shiraz, Iran
School of Mechanical Engineering, Shiraz
Iran
hadadk@shirazu.ac.ir


Hamid Reza
Eidi
Printing Management, International Imam Reza University, Mashhad, Iran
Printing Management, International Imam Reza
Iran
eidi@gmail.com


Javad
Mokhtari
Department of Mathematics, Isfahan (Khorasgan) Branch, Islamic Azad University, Isfahan, Iran
Department of Mathematics, Isfahan (Khorasgan)
Iran
javadmokhtari67@gmail.com
CDF
VOCs pollution
Numerical modelling
Turbulence
Flexography printing
[[1] Hadad, K., Doulatdar, R., and Mehdizadeh, S., “Indoor radon monitoring in Northern Iran using passive and active measurements”, Journal of environmental radioactivity, 95, 1, pp. 3952, 2007. ##[2] Hadad, K., Hakimdavoud, M.R., and HashemiTilehnoee, M., “Indoor radon survey in ShirazIran using developed passive measurement method”, Iran J. Radiat. Res., 9, 3, pp. 175182, 2011. ##[3] Hadad, K., and Mokhtari, J., “Indoor radon variations in central Iran and its geostatistical map”, Atmospheric Environment, 102, pp. 220227, 2015. ##[4] Hadad, K., and Doulatdar, R., “Useries concentration in surface and ground water resources of Ardabil province”, Radiation Protection Dosimetry, 130, 3, pp. 309318, 2008. ##[5] Hadad, K., Sarshough, S., Faghihi, R., and Taheri, M., “Application of polystyrene films for indoor radon dosimetry as SSNTD”, Applied Radiation and Isotopes, 74, pp. 2325, 2013. ##[6] Mehdizadeh, S., Owji, H., and Hadad, K., “Radon concentration variation in Shiraz air and its variable”, 3 International Conference on Nuclear Science and Technology in Iran, Iran, 2006. ##[7] Nejadkoorki, F., Nicholson, K., and Hadad, K., “The design of longterm air quality monitoring networks in urban areas using a spatiotemporal approach”, Environmental Monitoring and Assessment, 172, 1, pp. 215223, 2011. ##[8] Fowler, C. S., Williamson, A. D., Pyle, B. E., McDonough Susan, E., and Menetrez, M. Y., “Large Building Radon Manual”, US Environmental Protection Agency, Office of Research and Development, National Risk Management Research Laboratory, 1997. ##[9] De Bellie, L. H. F. A., Haghighat, F., and Zhang, Y., “Review of the effect of environmental parameters on material emissions”, In Proceedings of the 2nd international conference on indoor air quality, Ventilation, and Energy Conservation in Buildings, pp. 11119, 1995. ##[10] No, I.A.F., “Sick building syndrome”, United States Environmental Protection Agency, Research and Development (MD56), 1991. ##[11] Kumagai, S., “Two offset printing workers with cholangiocarcinoma”, Journal of Occupational Health, 56, 2, pp. 164168, 2014. ##[12] Yamada, K., Kumagai, S., Nagoya, T., and Endo, G., “Chemical exposure levels in printing workers with cholangiocarcinoma”, Journal of Occupational Health, 56, 5, pp. 332338, 2014. ##[13] Kamae, K., “Biliary tract cancer cases at printing plants in Japan (1 October 2013/Ver. 12 Since 10 August 2012)”, Ministry of Health, Labour and Welfare, Tokyo, Japan, 2013. ##[14] Kubo, S., Nakanuma, Y., Takemura, S., Sakata, C., Urata, Y., Nozawa, A, and Tachiyama, G., “Case series of 17 patients with cholangiocarcinoma among young adult workers of a printing company in Japan”, Journal of HepatoBiliaryPancreatic Sciences, 21, 7, pp. 479488, 2014.##]
Investigating the Ultrasonic Assistance in the Tube Hydroforming Process
2
2
The purpose of introducing ultrasonic vibrations in the tube hydroforming process is to create more formability by obtaining a lower corner radius, improve thickness distribution of the wall and provide good tribological conditions at the tube and the die interface. Vibrations imposed on the die create alternating gaps which improve the formability in the tube hydroforming process in the presence of ultrasonic vibrations. Therefore, we attempted to understand the processing mechanism of the ultrasonic tube hydroforming in the square die using the finite element method. Abaqus software was used in these simulations and the die was considered as a deformable element.
1

178
184


Mehdi
Zarei
Department of Mechanical Engineering, Tarbiat Modares University, Tehran 14115111, Iran
Department of Mechanical Engineering, Tarbiat
Iran
mehdi.zarei@modares.ac.ir


Mahmood
Farzin
Department of Mechanical Engineering, Isfahan University of Technology
Isfahan 8415683111
Department of Mechanical Engineering, Isfahan
Iran
farzin@cc.iut.ac.ir


Mohammad
Mashayekhi
Department of Mechanical Engineering, Isfahan University of Technology
Isfahan 8415683111
Department of Mechanical Engineering, Isfahan
Iran
mashayekhi@cc.iut.ac.ir
tube hydroforming
ultrasonic oscillations
Finite Element Method
square die
[[1] M. Murakawa, M. Jin, “The utility of radially and ultrasonically vibrated dies in the wire drawing process”, J. Mater. Process. Techno. pp. 113, 8186, 2007. ##[2] M. Hayashi , M. Jin, S. Thipprakmas, M. Murakawa, J. C. Hung,Y. C. Tsai, C. H. Hung, “Simulation of ultrasonicvibration drawing using the finite element method (FEM)”, J. Mater. Process. Technol. 140, pp.3035, 2003. ##[3] S. A. A. AkbariMousavi, H. Feizi, R. Madoliat, “Investigations on the effects of ultrasonic vibrations in the extrusion process”, J. Mater. Process. Technol. pp. 187–188, 2007. ##[4] Z. Huang, M. Lucas, M. J. Adams, “Influence of ultrasonics on upsetting of a model paste”, J. Ultra. 48, pp. 40 4348, 2002. ##[5] T. Jimma, Y. Kasuga, N. Iwaki, O. Miyazawa, E. Mori, K. Ito, H. Hatano, “An application of ultrasonic vibration to. The deep drawing process”, J. Mater. Process. Technol. 80–81, 406–412, 1998. ##[6] K. Mori, T. Maeno, S. Maki, “Mechanism of improvement of formability in pulsating hydroforming of tubes”, Int. J. Mach. Tool. Manuf. 47, pp. 978984, 2007. ##[7] C. Bunget, G. Ngaile, “Mechanics of Ultrasonic Tube Hydroforming”, 2008.##]
Haar Wavelet Collocation Method for Thermal Analysis of Porous Fin with Temperaturedependent Thermal Conductivity and Internal Heat Generation
2
2
In this study, the thermal performance analysis of porous fin with temperaturedependent thermal conductivity and internal heat generation is carried out using Haar wavelet collocation method. The effects of various parameters on the thermal characteristics of the porous fin are investigated. It is found that as the porosity increases, the rate of heat transfer from the fin increases and the thermal performance of the porous fin increases. The numerical solutions by the Haar wavelet collocation method are in good agreement with the standard numerical solutions.
1

185
191


George
OGUNTALA
Faculty of Engineering and Informatics
University of Bradford, BD7 1DP
West Yorkshire, UK
Faculty of Engineering and Informatics
University
Iran
g.a.oguntala@bradford.ac.uk


Raed
AbdAlhameed
School of Electrical Engineering and Computer Science,
Faculty of Engineering and Informatics
University of Bradford
West Yorkshire, UK
School of Electrical Engineering and Computer
Iran
r.a.a.abd@bradford.ac.uk
Haar wavelet method
Porous Fin
Thermal Analysis
TemperatureDependent Thermal Conductivity and Internal Heat Generation
[[1] S. Kiwan, A. AlNimr. “Using porous fins for heat transfer enhancement”. ASME Journal of Heat Transfer 123, pp. 790–5, 2001. ##[2] S. Kiwan, “Effect of radiative losses on the heat transfer from Porous fins”. International Journal of Thermal Science, 46(a), pp. 10461055, 2007. ##[3] S. Kiwan. “Thermal Analysis of natural convection porous fins”. Transport in Porous Media 67(b), pp. 1729, 2007. ##[4] S. Kiwan, O. Zeitoun, “Natural convection in a horizontal cylindrical annulus using porous fins”. International Journal on Numerical Heat Fluid Flow, 18(5), pp. 618634, 2008. ##[5] R. S. Gorla, A. Y. Bakier. “Thermal analysis of natural convection and radiation in porous fins”. International Communication in Heat and Mass Transfer, 38, pp. 638645, 2011. ##[6] B. Kundu, D. Bhanji. “An Analytical Prediction for Performance and Optimum Design Analysis of Porous fins”. International Journal on Refrigeration, 34, pp. 337352, 2011. ##[7] B. Kundu, D. Bhanja, K. S. Lee. “A Model on the basis of Analytics for Computing Maximum Heat Transfer in porous fins”. International Journal of Heat and Mass Transfer, 55, pp. 76117622, 2012. ##[8] D. Bhanja, B. Kundu. “Thermal analysis of a constructal Tshaped porous fin with radiation effects”. International Journal on Refrigeration, 34(6), pp.1483–96, 2011. ##[9] B. Kundu, “Performance and optimization Analysis of SRC profile fins subject to simultaneous Heat and Mass Transfer”. International Journal of Heat and Mass Transfer, 50, pp. 15451558, 2007. ##[10] A. Taklifi, C. Aghanajafi, H. Akrami. “The Effect of MHD on a porous fin attached to a vertical isothermal surface”. Transp Porous Med., 85, pp, 215–31, 2010. ##[11] S. Saedodin, S. Sadeghi, S. “Temperature distribution in long porous fins in natural convection condition”. Middleeast Journal of Scientific Research. 13(6), pp. 812817, 2013. ##[12] M. T. Darvishi, R. Gorla, R.S., Khani, F., Aziz, A.E. “Thermal Performance of a porous radial fin with natural convection and radiative heat losses”. Journal of Thermal Science, 19(2), pp. 669678, 2015. ##[13] Moradi, A., Hayat, T. and Alsaedi, A. “Convectiveradiative thermal analysis of triangular fins with temperaturedependent thermal conductivity by DTM”. Energy Conversion and Management, 77, pp. 70–77, 2014. ##[14] H. Ha, Ganji D. D and Abbasi M. “Determination of Temperature Distribution for Porous Fin with TemperatureDependent Heat Generation by Homotopy Analysis Method”. Journal of Applied Mechanical Engineering, 4(1), 2005. ##[15] M. Hatami, D. D. Ganji. “Thermal Performance of circular convectiveradiative porous fins with different section shapes and materials”. Energy Conversion and Management, 76, pp.185−193, 2013. ##[16] H. A. Hoshyar, I. Rahimipetroudi, D. D. Ganji, A. R. Majidian. “Thermal performance of porous fins with temperaturedependent heat generation via Homotopy perturbation method and collocation method”. Journal of Applied Mathematics and Computational Mechanics. 14(4), pp. 5365, 2015. ##[17] Y. Rostamiyan, D. D. Ganji, I. R. Petroudi, and M. K. Nejad. “Analytical Investigation of Nonlinear Model Arising in Heat Transfer through the Porous Fin”. Journal of Thermal Science, 182, pp. 409417, 2014. ##[18] S. E. Ghasemi, P. Valipour, M. Hatami, D. D. Ganji. “Heat transfer study on solid and porous convective fins with temperaturedependent heatgeneration using efficient analytical method” Journal of Central South University 21, pp. 4592−4598, 2014. ##[19] S. Singh, D. Kumar and K. N. Rai. “Wavelet Collocation Solution for Convective Radiative Continuously Moving Fin with temperaturedependent Thermal Conductivity”. International Journal of Engineering and Advanced Technology, 2(4), pp.1016, 2013. ##[20] S. Singh, D. Kumar and K. N. Rai. “Convectiveradiative fin with temperaturedependent thermal conductivity, heat transfer coefficient and wavelength dependent surface emissivity”. Propulsion and Power Research, 3(4), pp. 207221, 2014. ##[21] S. Singh, D. Kumar and K. N. Rai. “Wavelet Collocation Solution for Nonlinear Fin Problem with Temperaturedependent Thermal Conductivity and Heat Transfer Coefficient”. International Journal of Nonlinear Analysis Application, 6(1), pp. 105118, 2015. ##[22] A. S. V. R Kanta, and N. U. Kumar. “A Haar Wavelet Study on Convective Radiative under continuously Moving Fin with temperaturedependent thermal conductivity”. Walailak Journal of Science and Engineering, 11(3), pp. 211224, 2014. ##[23] A. S. V. R Kanta, and N. U. Kumar. “Application of the Haar Wavelet Method on a Continuously Moving Convective Radiative Fin with Variable thermal conductivity”. Heat Transfer Asian Research, pp. 117, 2013. ##[24] I. R. Petroudi, D. D. Ganji, A. B. Shotorban, M. K. Nejad, E. Rahimi, R. Rohollahtabar and F. Taherinia. “SemiAnalytical Method for Solving Nonlinear Equation Arising in Natural Convection Porous fin”. Journal of Thermal Science, 16(5), pp. 13031308, 2012. ##]
ThermalHydraulics analysis of pressurized water reactor core by using single heated channel model
2
2
Thermal hydraulics of nuclear reactor as a basis of reactor safety has a very important role in reactor design and control. The thermalhydraulic analysis provides input data to the reactorphysics analysis, whereas the latter gives information about the distribution of heat sources, which is needed to perform the thermalhydraulic analysis. In this study single heated channel model as a very fast model for predicting thermal hydraulics behavior of pressurized water reactor core has been developed. For verifying the results of this model, we used RELAP5 code as US nuclear regulatory approved thermal hydraulics code. The results of developed single heated channel model have been checked with RELAP5 results for WWER1000. This comparison shows the capability of single heated channel model for predicting thermal hydraulics behavior of reactor core.
1

192
198


Reza
Akbari
Amirkabir University of Technology (Tehran Polytechnic), Department of Energy Engineering and Physics, Tehran, Iran
Amirkabir University of Technology (Tehran
Iran
reza_akbari@aut.ac.ir


Dariush
Rezaei
Amirkabir University of Technology (Tehran Polytechnic), Department of Energy Engineering and Physics, Tehran, Iran
Amirkabir University of Technology (Tehran
Iran
dariush_rezaei@aut.ac.ir


Ahmad
Gharib
Amirkabir University of Technology (Tehran Polytechnic), Department of Energy Engineering and Physics, Tehran, Iran
Amirkabir University of Technology (Tehran
Iran
ahmad_gharib@aut.ac.ir
Nuclear Reactor
Thermal hydraulics
RELAP5
single heated channel model
[[1] RELAP5 code development Team, “RELAP5/MOD3 Code Manual”, Idaho National Engineering Laboratory, 1995. ##[2] Vahman, N., AkbariJeyhouni, R., Rezaei Ochbelagh, D., Amrollahi, R., “An assessment of a VVER1000 core during TurboGenerator load reduction test using RELAP5/MOD3.2 and WIMSD5B/PARCSv2.7”. Prog. Nucl. Energy 93, pp. 155164, 2016. ##[3] Pesaran, F., Jahanfarnia, G., Jafari, J., Abbaspour TehraniFard, A., Mansouri, M., “Modeling of control rod ejection transient for VVER1000model 446 using RELAP5m3.3/PARCSv2.6 coupled codes”. Ann. Nucl. Energy 65, pp. 411420, 2014. ##[4] Andreeva, M., Pavlova, M.P., Groudev, P.P., “Investigation of critical safety function ‘‘Heat sink’’ at low power and cold condition for Kozloduy Nuclear Power Plant VVER 1000/V320”. Ann. Nucl. Energy 40, pp. 221228, 2012. ##[5] FernandezMoguel, L., Birchley, J.,“Analysis of the accident in the Fukushima Daiichi nuclear power station Unit 3 with MELCOR_2.1”. Ann. Nucl. Energy 83, pp.193215, 2015. ##[6] Todreas, N.E., Kazimi, M.S., “Nuclear System, Thermal Hydraulic Fundamentals, Hemisphere Publishing Corporation”, New York, 1993. ##[7] CalzaBini, A., Cosoli, G., Filacchioni, G., Lanchi, M., Nobili, A., Pesce, E., Rocca, U., Rotoloni, P.L.,“Inpile measurement of fuel cladding conductance for pelleted and vipac zircaloy2 sheathed fuel pin”. Nucl. Technol. 25, 103, 1975. ##[8] Atomic energy organization of Iran (AEOI), “Final Safety Analysis Report (FSAR) for Bushehr WWER1000 reactor”, Tehran, Iran, 2003.##]
Vibration and Static Analysis of Functionally Graded Porous Plates
2
2
This research deals with free vibration and static bending of a simply supported functionally graded (FG) plate with the porosity effect. Material properties of the plate which are related to its change are positiondependent. Governing equations of the FG plate are obtained by using the Hamilton’s principle within firstorder shear deformation plate theory. In solving the problem, the Navier solution is also used. In this study, the effect of the porosity and material distribution parameters on the static and vibration responses of the FG plate is presented and discussed.
1

199
207


Şeref Doğuşcan
Akbaş
Department of Civil Engineering, Bursa Technical University, Bursa, 16330, Turkey
Department of Civil Engineering, Bursa Technical
Iran
serefda@yahoo.com
Functionally Graded Plate
Porosity
Static Analysis
Vibration Analysis
[[1] Reddy, J. N., and Chin, C.D., “Thermomechanical analysis of functionally graded cylinders and plates”, Journal of Thermal Stresses, 21(6), pp.593626, 1998.##[2] Reddy, J. N. “Analysis of functionally graded plates”. International Journal for Numerical Methods in Engineering, 47(13), pp. 663684, 2000.##[3] Yanga, J. and Shen, H.S. (2003), “Nonlinear analysis of functionally graded plates under transverse and inplane loads”, International Journal of NonLinear Mechanics, 38(4) pp.467482, 2003.##[4] Lanhe, W. “Thermal buckling of a simply supported moderately thick rectangular FGM plate”, Composite Structures, 64(2), pp.211218, 2004.##[5] Abrate, S., “Free vibration, buckling, and static deflections of functionally graded plates”, Composites Science and Technology. 66(14), pp.23832394, 2006.##[6] Chi, S.H. and Chung, Y.L., “Mechanical behavior of functionally graded material plates under transverse load—Part I: Analysis”, International Journal of Solids and Structures, 43(13), pp. 36573674, 2006##[7] Samsam Shariat, B.A. and Eslami M.R., “Buckling of thick functionally graded plates under mechanical and thermal loads”, Composite Structures. 78(3), pp. 433439, 2007.##[8] Civalek, Ö. “Analysis of thick rectangular plates with symmetric crossply laminates based on firstorder shear deformation theory”, Journal of Composite Materials, 42(26), pp. 28532867, 2008.##[9] Zhao, X., Lee, Y.Y. and Liew, K.M., “Mechanical and thermal buckling analysis of functionally graded plates”, Composite Structures, 90(2), pp. 161171, 2009.##[10] Oyekoya, O.O., Mba, D.U. and ElZafrany, A.M., “Buckling and vibration analysis of functionally graded composite structures using the finite element method”, Composite Structures, 89(1), pp. 134142, 2009.##[11] Zhao, X., Lee, Y. Y. and Liew, K. M., “Free vibration analysis of functionally graded plates using the elementfree kpRitz method”, Journal of sound and Vibration, 319(3), pp. 918939, 2009.##[12] Mohammadi, M., Saidi, A.R. and Jomehzadeh, E., “Levy solution for buckling analysis of functionally graded rectangular plates”, Applied Composite Materials, 17(2), pp. 8193, 2010.##[13] Fereidoon, A., Asghardokht Seyedmahalle, M. and Mohyeddin, A., “Bending analysis of thin functionally graded plates using generalized differential quadrature method”, Archive of Applied Mechanics, 81(11), pp. 15231539, 2011.##[14] Kumar, J.S., Reddy, B.S., Reddy, C.E. and Reddy, K.V.K., “Higher order theory for free vibration analysis of functionally graded material plates”, ARPN J. Eng. Appl. Sci., 6(10), pp. 105111, 2011.##[15] Jadhav, P.A. and Bajoria, K.M., “Buckling of piezoelectric functionally graded plate subjected to electromechanical loading”, Smart Materials and Structures, 21(10), pp. 105005, 2012.##[16] Singh, J. and Shukla, K. K., “Nonlinear flexural analysis of functionally graded plates under different loadings using RBF based meshless method”, Engineering Analysis with Boundary Elements, 36(12), pp. 18191827, 2012.##[17] Daouadji, T.H., Tounsi and Adda Bedia, EA. “Analytical solution for bending analysis of functionally graded plates”, Scientia Iranica, 20(3), pp. 516523, 2013.##[18] Asemi, K. and Shariyat, M., “Highly accurate nonlinear threedimensional finite element elasticity approach for biaxial buckling of rectangular anisotropic FGM plates with general orthotropy directions”, Composite Structures. 106, pp. 235249, 2013.##[19] Czechowski, L. and KowalMichalska, K. “Static and dynamic buckling of rectangular functionally graded plates subjected to thermal loading”, Strength of Materials, 45(6), pp. 666673, 2013.##[20] Civalek, Ö., Korkmaz, A. and Demir,C. “Discrete singular convolution approach for buckling analysis of rectangular Kirchhoff plates subjected to compressive loads on twoopposite edges” Advances in Engineering Software, 41(4), pp. 557560, 2010.##[21] Tahouneh, V., “Free vibration analysis of thick CGFR annular sector plates resting on elastic foundations”, Structural Engineering and Mechanics, 50(6), pp. 773796, 2013.##[22] Swaminathan, K., and Naveenkumar, D. T. “Assessment of First Order Computational Model for Free Vibration Analysis of FGM Plates”, International Journal of Scientific and Engineering Research, 4(5), pp. 115118, 2013.##[23] Jin, G., Su, Z., Ye, T. and Gao, S., “Threedimensional free vibration analysis of functionally graded annular sector plates with general boundary conditions”, Composites Part B: Engineering, 83, pp. 352366, 2015.##[24] Akbaş, Ş.D., “TermoMechanical Vibration of Functionally Graded Nano Plates and Beams Based on Couple Stress Theory”, 3rd International Conference on Advanced Technology Sciences, Konya/Turkey, 0103 September, 2016.##[25] Van Long, N., Quoc, T.H. and Tu, T.M., “Bending and free vibration analysis of functionally graded plates using new eightunknown shear deformation theory by finiteelement method”, International Journal of Advanced Structural Engineering, 8(4), pp. 391399, 2016.##[26] Civalek, Ö. “Free vibration of carbon nanotubes reinforced (CNTR) and functionally graded shells and plates based on FSDT via discrete singular convolution method” Composites Part B: Engineering, 111, pp. 4559, 2017.##[27] Barati, M.R. and Zenkour, A.M., “Electrothermoelastic vibration of plates made of porous fuctionally graded piezoelectric materials under various boundary conditions”, Journal of Vibration and Control, doi: 10.1177/1077546316672788, 2016.##[28] Mercan, K., Demir, Ç. And Civalek, Ö. “Vibration analysis of FG cylindrical shells with powerlaw index using discrete singular convolution technique”Curved and Layered Structures, 3(1), 2016.##[29] Wattanasakulpong, N. and Ungbhakorn, V., “Linear and nonlinear vibration analysis of elastically restrained ends FGM beams with porosities”, Aerospace Science and Technology, 32(1), pp. 111120, 2014.##[30] Mechab, I., Mechab, B., Benaissa, S., Serier, B., Bouiadjra, B.B., “Free vibration analysis of FGM nanoplate with porosities resting on Winkler Pasternak elastic foundations based on twovariable refined plate theories”, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 38(8), pp. 2193–2211, 2016.##[31] Mechab, B., Mechab, I., Benaissa, S., Ameri, M. and Serier, B., “Probabilistic analysis of effect of the porosities in functionally graded material nanoplate resting on Winkler–Pasternak elastic foundations”, Applied Mathematical Modelling, 40(2), pp. 738749, 2016.##[32] Şimşek, M. and Aydın, M., “Sizedependent forced vibration of an imperfect functionally graded (FG) microplate with porosities subjected to a moving load using the modified couple stress theory”, Composite Structures, 160, pp. 408421, 2017.##[33] Al Jahwari, F.and Naguib, H.E., “Analysis and homogenization of functionally graded viscoelastic porous structures with a higher order plate theory and statistical based model of cellular distribution”, Applied Mathematical Modelling, 40(3), pp. 21902205, 2016.##[34] Ebrahimi,F. and Jafari, A., “A HigherOrder Thermomechanical Vibration Analysis of TemperatureDependent FGM Beams with Porosities”, Journal of Engineering, doi:10.1155/2016/9561504, 2016.##[35] Ebrahimi, F., Ghasemi, F. and Salari, E., “Investigating thermal effects on vibration behavior of temperaturedependent compositionally graded Euler beams with porosities”, Meccanica, 51(1), pp. 223249, 2016.##[36] Chen, D., Yang, J. and Kitipornchai, S., “Nonlinear vibration and postbuckling of functionally graded graphene reinforced porous nanocomposite beams”, Composites Science and Technology, 142, pp. 235245, 2017.##[37] Kitipornchai, S., Chen, D. and Yang, J., “Free vibration and elastic buckling of functionally graded porous beams reinforced by graphene platelets”, Materials & Design, 116, pp. 656665, 2017.##]
The effect of small scale on the vibrational behavior of singlewalled carbon nanotubes with a moving nanoparticle
2
2
In this paper, free and forced vibration of simplysupported Singlewalled carbon nanotube is investigated under the moving nanoparticle by considering nonlocal cylindrical shell model. To validate the theoretical results, modal analysis of nanotube is conducted using ANSYS commercial software. Excellent agreement is exhibited between the results of two different methods. Furthermore, the dynamic response of SWCNT under moving nanoparticle is also studied. It is assumed that the nanoparticle travels along the center of nanotube with constant velocity and the van der Waals force between CNT and particle is taken into account. The dynamic response of the SWCNT under the influence of C60 particle obtained using dynamic Green’s function and modal expansion. The obtained results show that the nonlocal scale effect decreases the natural frequency and dynamic displacement of the CNT.
1

208
217


Davood
Salamat
Department of Mechanical Engineering, Islamic Azad University, Ahvaz branch, Ahvaz, Iran
Department of Mechanical Engineering, Islamic
Iran
davoodsalamat@gmail.com


Hamid M.
Sedighi
Mechanical Engineering Department, Faculty of Engineering, Shahid Chamran University of Ahvaz, Ahvaz, Iran
Mechanical Engineering Department, Faculty
Iran
hmsedighi@gmail.com
SWCNT
Nonlocal scale effects
Moving nanoparticle
Cylindrical shell
Dynamic and vibration
[[1] Iijima, S., “Helical microtubules of graphitic carbon”, Nature, 354, pp. 56 – 58, 1991. ##[2] Yakobson, B. I., Avouris, P., “Mechanical Properties of Carbon Nanotubes”, Topics in Applied Physics, 80, pp. 287327, 2001. ##[3] Akgöz, B., Civalek, Ö., "Deflection of a hyperbolic shear deformable microbeam under a concentrated load", Journal of Applied and Computational Mechanics, 2(2), pp. 6573, 2016. ##[4] Soroush, R., Yekrangi, A., "Investigation of the vdW ForceInduced Instability in Nanoscale Actuators Fabricated form Cylindrical Nanowires", Journal of Applied and Computational Mechanics, 2(1), pp. 820, 2016. ##[5] Cheraghbak, A., Loghman, A., "Magnetic field effects on the elastic behavior of polymeric piezoelectric cylinder reinforced with CNTs", Journal of Applied and Computational Mechanics, 2(4), pp. 222229, 2016. ##[6] Abbondanza, D., Battista, D., Morabito, F., Pallante, C., Barretta, R., Luciano, R., Marotti de Sciarra, F., Ruta, G., "Linear dynamic response of nanobeams accounting for higher gradient effects", Journal of Applied and Computational Mechanics, 2(2), pp. 5464, 2016. ##[7] Meyyappan, M., “Carbon Nanotubes Science Applications”, New York, U.S.: CRC Press, 2005. ##[8] Rao, C. N., Cheetham, A. K., “Science and technology of nanomaterials: current status and future prospects”, Journal of Materials Chemistry, pp. 28872894, 2001. ##[9] Sawano, T. A., Akita, S. “Carbon nanotube resonator in liquid”, Nano Letters, pp. 3395–3398, 2010. ##[10] Eringen, A. C., “on differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves”, J. Appl. Phys., pp. 4703, 1983. ##[11] Zhang, Y. Q., Liu, G. R., Xie, X. Y., “Free transverse vibrations of doublewalled carbon nanotubes using a theory of nonlocal elasticity”, Phys Rev B, pp. 195404, 2005. ##[12] Wang, Q., Varadan, V. K., “Vibration of carbon nanotubes studied using nonlocal continuum mechanics”, Smart Materials and Structures, pp. 659, 2006. ##[13] Wang, C. M., Zhang, Y. Y., He, X. Q., “Vibration of nonlocal Timoshenko beams”, Nanotechnology, pp. 105401, 2007. ##[14] Ansari, R. and Sahmani, A. S., “Small scale effect on vibrational response of singlewalled carbon nanotubes with different boundary conditions based on nonlocal beam models.” Communications in Nonlinear Science and Numerical Simulation, pp. 1965–1979, 2012. ##[15] Lee, H. L. and W. J. Chang. “Dynamic modelling of a singlewalled carbon nanotube for nanoparticle delivery.” Proc. R. Soc. A, pp. 860–868, 2010. ##[16] Kiani, K. and B. Mehri. “Assessment of nanotube structures under a moving nanoparticle using nonlocal beam theories” Journal of Sound and Vibration, pp. 22412264, 2010. ##[17] Pourseifi, M., O. Rahmani and A. H. Hoseini. “Active vibration control of nanotube structures under a moving nanoparticle based on the nonlocal continuum theories” Meccanica, pp. 13511369, 2015. ##[18] Soedel, W., “vibration of shells and plates”, New York, USA: Marcel Dekker Inc., 2004. ##[19] Cox, B. J. and J. M. Hill. “Mechanics of atoms and fullerenes in singlewalled carbon nanotubes. I. Acceptance and suction energies. ” Proceedings of the Royal Society of London A, Mathematical, Physical and Engineering Sciences, pp. 461477, 2007.##]
Analytical predictions for the buckling of a nanoplate subjected to nonuniform compression based on the fourvariable plate theory
2
2
In the present study, the buckling analysis of the rectangular nanoplate under biaxial nonuniform compression using the modified couple stress continuum theory with various boundary conditions has been considered. The simplified first order shear deformation theory (SFSDT) has been employed and the governing differential equations have been obtained using the Hamilton’s principle. An analytical approach has been applied to obtain exact results from various boundary conditions. Due to the fact that there is not any research about the buckling of nanoplates based on the SFSDT including the couple stress effect, the obtained results have been compared with the molecular dynamic simulation and FSDT papers which use the Eringen nonlocal elasticity theory. At the end, the results have been presented by making changes in some parameters such as the aspect ratio, the effect of various nonuniform loads and the length scale parameter.
1

218
228


Mohammad
Malikan
Department of Mechanical Engineering, Faculty of Engineering, Islamic Azad University, Mashhad, Iran
Department of Mechanical Engineering, Faculty
Iran
mohammad.malikan@yahoo.com
Nonuniform compression
Modified couple stress theory
SFSDT
[[1] de La Fuente, J., “CEO Graphenea” j.delafuente@graphenea.com. ##[2] Walker, L.S., Marotto, V.R., Rafiee, M.A., Koretkar, N., Corral, E.L. “Toughening in graphene ceramic composites”, ACS Nano. 5, pp. 318290, 2011. ##[3] Kvetkova, L., Duszova, A., Hvizdos, P., Dusza, J., Kun, P., Balazsi, C. “Fracture toughness and toughening mechanisms in graphene platelet reinforced Si 3 composites”, Scripta Materialia. 66, pp. 793796, 2012. ##[4] Liang, J., Huang, Y., Zhang, L., Wang, Y., Ma, Y., Guo, T., Chen, Y. “Molecular‐level dispersion of graphene into poly (vinyl alcohol) and effective reinforcement of their nanocomposites”, Advanced Functional Materials. 19, pp. 22972302, 2009. ##[5] Rafiee, M.A., Rafiee, J., Srivastana, I., Wang, Z., Song, H., Yu, ZZ., Koratkar, “Fracture and fatigue in graphene nanocomposites”, Small. 6, pp. 17983, 2010. ##[6] Civalek, O., Demir, Ç. Akgöz, B. “Free Vibration and Bending Analysis of Cantilever Microtubules Based on Nonlocal Continuum Model”, Mathematical and Computational Applications. 15, pp. 289298, 2010. ##[7] Akgöz, B., Civalek, o. “Strain gradient elasticity and modified couple stress models for buckling analysis of axially loaded microscaled beams”, International Journal of Engineering Science. 49, pp. 12681280, 2011. ##[8] Malekzadeh, P., Setoodeh, A.R., Beni, A.A. “Small scale effect on the thermal buckling of orthotropic arbitrary straightsided quadrilateral nanoplates embedded in an elastic medium”, Composite Structures. 93, pp. 20832089, 2011. ##[9] Zenkour, A.M., Sobhy, M. “Nonlocal elasticity theory for thermal buckling of nanoplates lying on Winkler–Pasternak elastic substrate medium”, Physica E. 53, pp. 251259, 2013. ##[10] Murmu, T., Sienz, J., Adhikari, S., Arnold, C. “Nonlocal buckling of doublenanoplatesystems under biaxial compression”, Composites: Part B. 44, pp. 8494, 2013. ##[11] Wang, YZ., Cui, HT., Li, FM., Kishimoto, K., “Thermal buckling of a nanoplate with smallscale effects”, Acta Mechanical. 224, pp. 12991307, 2013. ##[12] Malekzadeh, P., Alibeygi, A. “Thermal Buckling Analysis of Orthotropic Nanoplates on Nonlinear Elastic Foundation”, Encyclopedia of Thermal Stresses, pp. 48624872, 2014. ##[13] Mohammadi, M., Farajpour, A., Moradi, A., Ghayour, M. “Shear buckling of orthotropic rectangular graphene sheet embedded in an elastic medium in thermal environment”, Composites: Part B. 56, pp. 629637, 2014. ##[14] Radic, N., Jeremic, D., Trifkovic, S., Milutinovic, M. “Buckling analysis of doubleorthotropic nanoplates embedded in Pasternak elastic medium using nonlocal elasticity theory”, Composites: Part B. 61, pp. 162171, 2014. ##[15] Karlicic, D., Adhikari, S., Murmu, T. “Exact closedform solution for nonlocal vibration and biaxial buckling of bonded multinanoplate system”, Composites: Part B. 66, pp. 328339, 2014. ##[16] Anjomshoa, A., Shahidi, A.R., Hassani, B., Jomehzadeh, E. “Finite Element Buckling Analysis of MultiLayered Graphene Sheets on Elastic Substrate Based on Nonlocal Elasticity Theory”, Applied Mathematical Modelling, 38. pp. 122, 2014. ##[17] Radebe, I.S., Adali, S. “Buckling and sensitivity analysis of nonlocal orthotropic nanoplates with uncertain material properties”, Composites: Part B. 56, pp. 840846, 2014. ##[18] Nguyen, T.K., T. P., Nguyen, B.D., Lee, J., “An analytical solution for buckling and vibration analysis of functionally graded sandwich beams using a quasi3D shear deformation theory”, Composite Structures, doi.org/10.1016/j. compstruct.2015. pp. 074, 2015. ##[19] Golmakani, M.E., Rezatalab, J. “Non uniform biaxial buckling of orthotropic Nano plates embedded in an elastic medium based on nonlocal Mindlin plate theory”, Composite Structures. 119, pp. 238250, 2015. ##[20] Jamali, M., Shojaee, T., Mohammadi, B. “Uniaxial buckling analysis comparison of nanoplate and nanocomposite plate with central square cut out using domain decomposition method”, Journal of Applied and Computational Mechanics. 2, pp. 230242, 2016. ##[21] Zarei, M. Sh., Hajmohammad, M. H., Nouri, A. “Dynamic buckling of embedded laminated nanocomposite plates based on sinusoidal shear deformation theory”, Journal of Applied and Computational Mechanics. 2, pp. 254261, 2016. ##[22] Malikan, M., Jabbarzadeh, M., Dastjerdi, Sh. “Nonlinear Static stability of bilayer carbon nanosheets resting on an elastic matrix under various types of inplane shearing loads in thermoelasticity using nonlocal continuum”, Microsystem Technologies, DOI: 10.1007/s00542, pp. 01630799, 2016. ##[23] Mindlin, R. D. “Influence of Rotatory Inertia and Shear on Flexural Motions of Isotropic, Elastic Plates”, Transaction of the ASME. 73, pp. 3138, 1951. ##[24] Thai, HT., Choi, DH. “A simple firstorder shear deformation theory for laminated composite plates”, Composite Structures. 106, pp. 754763, 2013. ##[25] Mindlin, R. D. “Tiersten HF. Effects of couplestresses in linear elasticity”, Archive for Rational Mechanics and Analysis. 11, pp. 41548, 1962. ##[26] Toupin, R. A., “Elastic materials with couple stresses”, Archive for Rational Mechanics and Analysis. 11, pp. 385414, 1962. ##[27] Koiter, W. T., “Couple stresses in the theory of elasticity”, I and II. Proc K Ned Akad Wet (B. 67, pp. 1744, 1964. ##[28] Cosserat, E., Cosserat, F., “Theory of deformable bodies”, Scientific Library, 6. Paris: A. Herman and Sons, Sorbonne 6, 1909. ##[29] Yang, F., Chong, A.C.M., Lam, D.C.C., Tong, P., “Couple stress based strain gradient theory for elasticity”, International Journal of Solids and Structures. 39, pp. 273143, 2002. ##[30] Akgöz, B., Civalek, O., “Free vibration analysis for singlelayered graphene sheets in an elastic matrix via modified couple stress theory”, Materials and Design. 42, pp. 164171, 2012. ##[31] Thai, HT., Thuc, P., Nguyen, TK., Lee, J., “Sizedependent behavior of functionally graded sandwich microbeams based on the modified couple stress theory”, Composite Structures. 123, pp. 337349, 2015. ##[32] Dey, T., Ramachandra, L.S., “Buckling and postbuckling response of sandwich panels under nonuniform mechanical edge loadings”, Composites: Part B. 60, pp. 537545, 2014. ##[33] Leissa, A.W., Kang, JaeHoon, “Exact solutions for vibration and buckling of an SSCSSC rectangular plate loaded by linearly varying inplane stresses”, International Journal of Mechanical Sciences. 44, pp. 19251945, 2002. ##[34] Hwang, I., Seh Lee, J., “Buckling of Orthotropic Plates under Various Inplane Loads”, KSCE Journal of Civil Engineering. 10, pp. 349–356, 2006. ##[35] Malikan, M. “Electromechanical shear buckling of piezoelectric nanoplate using modified couple stress theory based on simplified first order shear deformation theory”, Applied Mathematical Modelling. 48, pp. 196207, 2017. ##[36] Golmakani, M.E., Sadraee Far, M.N. “Buckling analysis of biaxially compressed double layered graphene sheets with various boundary conditions based on nonlocal elasticity theory”, Microsystem Technologies, DOI 10.1007/s00 .pp,54201630536, 2016. ##[37] Ansari, R., Sahmani, S. “Prediction of biaxial buckling behavior of singlelayered graphene sheets based on nonlocal plate models and molecular dynamics simulations”, Applied Mathematical Modeling. 37, pp. 7338–7351, 2013.##]