L.J. Currano, M. Yu, B. Balachandran, Latching in a MEMS shock sensor: Modeling and experiments, Sensors and Actuators A: Physical, 159 (2010) 41-50.
 L. Li, Z.J. Chew, Microactuators: Design and technology, in: Smart Sensors and MEMs, Elsevier, 2018, pp. 305-348.
 Z. Djurić, I. Jokić, A. Peleš, Fluctuations of the number of adsorbed molecules due to adsorption–desorption processes coupled with mass transfer and surface diffusion in bio/chemical MEMS sensors, Microelectronic Engineering, 124 (2014) 81-85.
 S. Kong, S. Zhou, Z. Nie, K. Wang, The size-dependent natural frequency of Bernoulli–Euler micro-beams, International Journal of Engineering Science, 46 (2008) 427-437.
 W.T. Koiter, Couple-stresses in the theory of elasticity, I and II, Prec, Roy. Netherlands Acad. Sci. B, 67 0964.
 R.D. Mindlin, H.F. Tiersten, Effects of couple-stresses in linear elasticity, Archive for Rational Mechanics and analysis, 11 (1962) 415-448.
 W. Su, S. Liu, Vibration analysis of periodic cellular solids based on an effective couple-stress continuum model, International Journal of Solids and Structures, 51 (2014) 2676-2686.
 F.A.C.M. Yang, A.C.M. Chong, D.C.C. Lam, P. Tong, Couple stress based strain gradient theory for elasticity, International Journal of Solids and Structures, 39 (2002) 2731-2743.
 S.K. Park, X.L. Gao, Bernoulli–Euler beam model based on a modified couple stress theory, Journal of Micromechanics and Microengineering, 16 (2006) 2355.
 M. Asghari, M.H. Kahrobaiyan, M.T. Ahmadian, A nonlinear Timoshenko beam formulation based on the modified couple stress theory, International Journal of Engineering Science, 48 (2010) 1749-1761.
 M. Asghari, M.T. Ahmadian, M.H. Kahrobaiyan, M. Rahaeifard, On the size-dependent behavior of functionally graded micro-beams, Materials & Design (1980-2015), 31 (2010) 2324-2329.
 M. Asghari, M. Rahaeifard, M.H. Kahrobaiyan, M.T. Ahmadian, The modified couple stress functionally graded Timoshenko beam formulation, Materials & Design, 32 (2011) 1435-1443.
 R.D. Mindlin, Second gradient of strain and surface-tension in linear elasticity, International Journal of Solids and Structures, 1 (1965) 417-438.
 S.M.H. Karparvarfard, M. Asghari, R. Vatankhah, A geometrically nonlinear beam model based on the second strain gradient theory, International Journal of Engineering Science, 91 (2015) 63-75.
 S.A. Momeni, M. Asghari, The second strain gradient functionally graded beam formulation, Composite Structures, 188 (2018) 15-24.
 H. Shodja, F. Ahmadpoor, A. Tehranchi, Calculation of the additional constants for fcc materials in second strain gradient elasticity: behavior of a nano-size Bernoulli-Euler beam with surface effects, Journal of applied mechanics, 79 (2012).
 R.D. Mindlin, N.N. Eshel, On first strain-gradient theories in linear elasticity, International Journal of Solids and Structures, 4 (1968) 109-124.
 R. Ansari, R. Gholami, M.F. Shojaei, V. Mohammadi, S. Sahmani, Size-dependent bending, buckling and free vibration of functionally graded Timoshenko microbeams based on the most general strain gradient theory, Composite Structures, 100 (2013) 385-397.
 D.C.C. Lam, F. Yang, A.C.M. Chong, J. Wang, P. Tong, Experiments and theory in strain gradient elasticity, Journal of the Mechanics and Physics of Solids, 51 (2003) 1477-1508.
 M.H. Kahrobaiyan, M. Asghari, M. Rahaeifard, M.T. Ahmadian, A nonlinear strain gradient beam formulation, International Journal of Engineering Science, 49 (2011) 1256-1267.
 H. Mohammadi, M. Mahzoon, Thermal effects on postbuckling of nonlinear microbeams based on the modified strain gradient theory, Composite Structures, 106 (2013) 764-776.
 H. Mohammadi, S. Sepehri, Analyzing dynamical snap-through of a size dependent nonlinear micro-resonator via a semi-analytic method, Journal of Theoretical and Applied Vibration and Acoustics, 4 (2018) 19-36.
 F. Amiot, An Euler–Bernoulli second strain gradient beam theory for cantilever sensors, Philosophical Magazine Letters, 93 (2013) 204-212.
 S. Khakalo, J. Niiranen, Form II of Mindlin's second strain gradient theory of elasticity with a simplification: For materials and structures from nano-to macro-scales, European Journal of Mechanics-A/Solids, 71 (2018) 292-319.
 R.A. Toupin, Elastic materials with couple-stresses, Archive for Rational Mechanics and Analysis, 11 (1962) 385-414.
 W. Thomson, Theory of vibration with applications, CrC Press, 2018.
 A.H. Nayfeh, D.T. Mook, Nonlinear oscillations, John Wiley & Sons, 2008.
 R. Vatankhah, M.H. Kahrobaiyan, A. Alasty, M.T. Ahmadian, Nonlinear forced vibration of strain gradient microbeams, Applied Mathematical Modelling, 37 (2013) 8363-8382.