Optimum Design of FGX-CNT-Reinforced Reddy Pipes Conveying Fluid Subjected to Moving Load

Document Type: Research Paper

Authors

Faculty of Mechanical Engineering, University of Tabriz, Tabriz, Iran

Abstract

The harmony search algorithm is applied to the optimum designs of functionally graded (FG)-carbon nanotubes (CNTs)-reinforced pipes conveying fluid which are subjected to a moving load. The structure is modeled by the Reddy cylindrical shell theory, and the motion equations are derived by Hamilton's principle. The dynamic displacement of the system is derived based on the differential quadrature method (DQM). Moreover, the length, thickness, diameter, velocity, and acceleration of the load, the temperature and velocity of the fluid, and the volume fraction of CNT are considered for the design variables. The results illustrate that the optimum diameter of the pipe is decreased by increasing the volume percentage of CNTs. In addition, by increasing the moving load velocity and acceleration, the FS is decreased.

Keywords

[1] Keshtegar, B. and Oukati Sadeq, M., “Gaussian global-best harmony search algorithm for optimization problems”, Soft Computing, 2016, doi:10.1007/s00500-00016-02274-z.

[2] Geem, Z.W., Kim, J.H. and Loganathan, G., “A new heuristic optimization algorithm: harmony search”, Simulation, Vol. 76, pp. 60-68, 2001.

[3] Lee, K.S. and Geem, Z.W., “A new meta-heuristic algorithm for continuous engineering optimization: harmony search theory and practice”, Computer methods in applied mechanics and engineering, Vol. 194, pp. 3902-3933, 2005.

[4] Omran, M.G. and Mahdavi, M., “Global-best harmony search”, Applied mathematics and computation, Vol. 198, pp. 643-656, 2008.

[5] Hermann, G. and Baker, E.H., “Response of cylindrical sandwich shells to moving loads”, Transaction ASME Journal of Applied Mechanics, Vol. 34, pp. 1–8, 1967.

[6] Huang, C.C., “Moving loads on elastic cylindrical shells”, Journal of Sound and Vibrations, Vol. 49, pp. 215–20, 1976.

[7] Chonan, S., “Moving load on a two-layered cylindrical shell with imperfect bonding”, The Journal of the Acoustical Society of America, Vol. 69, pp. 1015–20, 1981.

[8] Panneton, R., Berry, A. and Laville F., “Vibration and sound radiation of a cylindricalshell under a circumferentially moving load”, The Journal of the Acoustical Society of America, Vol. 98, pp. 2165–73, 1995.

[9] Mirzaei, M., Biglari, H. and Slavatian, M., “Analytical and numerical modeling of the transient elasto-dynamic response of a cylindrical tube to internal gaseous detonation”, International Journal of Pressure Vessels and Piping, Vol. 83, pp. 531–539, 2006.

[10] Ruzzene, M. and Baz, A., “Dynamic stability of periodic shells with moving loads. Journal of Sound and Vibrations, Vol. 296, pp. 830–44, 2006.

[11] Eftekhari, S.A., “Differential quadrature procedure for in-plane vibration analysis of variable thickness circular arches traversed by a moving point load”, Applied Mathematical Modelling, Vol. 40, pp. 4640-4663, 2016.

[12] Wang, Y. and Wu, D., “Thermal effect on the dynamic response of axially functionally graded beam subjected to a moving harmonic load”, Acta Astronautica, Vol. 127, pp. 17-181, 2016.

[13]Reddy, J.N., “A Simple Higher Order Theory for Laminated Composite Plates”, Journal of Applied Mechanics, Vol. 51, pp. 745–752, 1984.

[14] Kolahchi, R., Safari, M. and Esmailpour, M., “Dynamic stability analysis of temperature-dependent functionally graded CNT-reinforced visco-plates resting on orthotropic elastomeric medium”, Composite Structures, Vol. 150, pp. 255-265, 2016.

[15] Raminnea, M., Biglari, H. and Vakili Tahami, F., “Nonlinear higher order Reddy theory for temperaturedependent vibration and instability of embedded functionally graded pipes conveying fluid-nanoparticle mixture”, Structural Engineering and Mechanics, Vol. 59, pp. 153-186, 2016.

[16] Simsek, M. and Kocaturk, T., “Nonlinear dynamic analysis of an eccentrically prestressed damped beam under a concentrated moving harmonic load”, Journal of Sound and Vibration, Vol. 320, pp. 235–253, 2009.