[1] J. Pei, F. Tian, T. Thundat, Glucose biosensor based on the microcantilever, Analytical Chemistry 76:292–297 (2004)
[2] C. Ke, H.D. Espinosa, Numerical analysis of nanotube-based NEMS devices. Part I: Electrostatic charge distribution on multiwalled nanotubes, Journal of Applied Mechanics 72:721–725 (2005)
[3] M. Li, H.X. Tang, M.L. Roukes, Ultra-sensitive NEMS-based cantilevers for sensing, scanned probe and very highfrequency applications, Nature Nanotechnology 2:114–120 (2007)
[4] Y.Q. Fu, H.J. Du, W.M. Huang, S. Zhang, M. Hu, TiNi-based thin films in MEMS applications: a review, Journal of Sensors and Actuators A 112:395–408 (2004)
[5] Z. Lee, C. Ophus, L.M. Fischer et al., Metallic NEMS components fabricated from nanocomposite Al–Mo films, Nanotechnology 17:3063–3070 (2006)
[6] H.M. Sedighi, The influence of small scale on the Pull-in behavior of nonlocal nano-Bridges considering surface effect, Casimir and van der Waals attractions, International Journal of Applied Mechanics 6(3):1450030 (2014)
[7] N.A. Ali, A.K. Mohammadi, Effect of thermoelastic damping in nonlinear beam model of MEMS resonators by differential quadrature method, Journal of Applied and Computational Mechanics 1(3):112-121 (2015)
[8] H.M. Sedighi, F. Daneshmand, M. Abadyan, Dynamic instability analysis of electrostatic functionally graded doublyclamped nano-actuators, Composite Structures 124:55-64 (2015)
[9] H.M. Sedighi, M. Keivani, M. Abadyan, Modified continuum model for stability analysis of asymmetric FGM double-sided NEMS: Corrections due to finite conductivity, surface energy and nonlocal effect, Composites Part B 83:117-133 (2015)
[10] H.M. Sedighi, F. Daneshmand, M. Abadyan, Modified model for instability analysis of symmetric FGM double-sided nano-bridge: Corrections due to surface layer, finite conductivity and size effect, Composite Struct 132:545-557
(2015)
[11] H.M. Sedighi, Modeling of surface stress effects on the dynamic behavior of actuated non-classical nano-bridges, Transactions of the Canadian Society for Mechanical Engineering 39(2):137-151 (2015)
[12] A.C. Eringen, D.G.B. Edelen, On nonlocal elasticity, International Journal of Engineering Science 10:233–248 (1972)
[13] A.C. Eringen, On Differential Equations of Nonlocal Elasticity and Solutions of Screw Dislocation and Surface Waves Journal of Applied Physics 54:4703-4710 (1983)
[14] A.C. Eringen, Nonlocal Continuum Field Theories, Springer, New York, 2002
[15] J. Peddieson, G.R. Buchanan, R.P. McNitt, Application of nonlocal continuum models to nanotechnology, International Journal of Engineering Science 41:305–312 (2003)
[16] Q. Wang, Wave propagation in carbon nanotubes via nonlocal continuum mechanics, Journal of Applied Physics 98:124301 (2005)
[17] J.N. Reddy, Nonlocal theories for bending, buckling and vibration of beams, International Journal of Engineering Science 45:288–307 (2007)
[18] H.M. Ma, X.L. Gao, J.N. Reddy, A microstructure-dependent Timoshenko beam model based on a modified couple stress theory, Journal of the Mechanics and Physics of Solids 56:3379–3391 (2008)
[19] H.M. Sedighi, Size-dependent dynamic pull-in instability of vibrating electrically actuated microbeams based on the strain gradient elasticity theory, Acta Astronautica 95:111-123 (2014)
[20] M. Karimi, M.H. Shokrani, A.R. Shahidi, Size-dependent free vibration analysis of rectangular nanoplates with the consideration of surface effects using finite difference method, Journal of Applied and Computational Mechanics 1(3):122–133 (2015)
[21] R. Barretta, L. Feo, R. Luciano, F. Marotti de Sciarra, An Eringen-like model for Timoshenko nanobeams, Composite Structures 139(1):104-110 (2016)
[22] R. Barretta, M. Čanadija, F. Marotti de Sciarra, A higher-order Eringen model for Bernoulli-Euler nanobeams, Archive of Applied Mechanics 86:483–495 (2016)
[23] R. Barretta, L. Feo, R. Luciano, F. Marotti de Sciarra, Application of an enhanced version of the Eringen differential model to nanotechnology, Composites B 96:274–280 (2016)
[24] R. Barretta, L. Feo, R. Luciano, F. Marotti de Sciarra, R. Penna, Functionally graded Timoshenko nanobeams: A novel nonlocal gradient formulation, Composites B 100:208–219 (2016)
[25] M.A. Eltaher, M.E. Khater, S.A. Emam, A review on nonlocal elastic models for bending, buckling, vibrations, and wave propagation of nanoscale beams, Applied Mathematical Modelling 40:4109–4128 (2016)
[26] R. Barretta, L. Feo, R. Luciano, F. Marotti de Sciarra, Variational formulations for functionally graded nonlocal Bernoulli-Euler nanobeams, Composite Structures 129:80–89 (2015)
[27] S. Woinowsky-Krieger, The effect of an axial force on the vibration of hinged bars, Journal of Applied Mechanics 17:35–36 (1950)
[28] R.E.D. Bishop, W.G. Price, The vibration characteristics of a beam with an axial force, Journal of Sound and Vibration 59:237–244 (1974)
[29] A. Bokaian, Natural frequencies of beams under compressive axial loads, Journal of Sound and Vibration 126:49–65 (1988)
[30] A. Bokaian, Natural frequencies of beams under tensile axial loads, Journal of Sound and Vibration 142:481–498 (1990)
[31] N.G. Stephen, Beam compression under compressive axial load-upper and lower bound approximation, Journal of Sound and Vibration 131:345–350 (1989)
[32] Z.P. Bazant, L. Cedolin, Stability of structures, Oxford University Press, New York, 1991
[33] S.P. Timoshenko, J.M. Gere, Theory of elastic stability, McGraw-Hill, New York, 1961
[34] M. Pignataro, N. Rizzi, A. Luongo, Stability, Bifurcation and Postcritical Behaviour of Elastic Structures, Elsevier, Amsterdam, 1991
[35] D. Abbondanza, D. Battista, F. Morabito, C. Pallante, R. Barretta, R. Luciano, F. Marotti de Sciarra, G. Ruta, Modulated linear dynamics of nanobeams accounting for higher gradient effects, submitted for publication.