Size-dependent Nonlinear Forced Vibration Analysis of Viscoelastic/Piezoelectric Nano-beam

Document Type : Research Paper


1 Department of Textile Engineering, Isfahan University of Technology, Isfahan, 8415683111, Iran

2 Research Institute for Nanotechnology and Advanced Materials, Isfahan University of Technology, Isfahan, Iran

3 Department of Mechanical Engineering, Faculty of Engineering, Shahrekourd University, Shahrekourd, Iran

4 Nanotechnology Research Center, Shahrekord University, Shahrekord, 8818634141, Iran


In this paper, the nonlinear forced vibration of isotropic viscoelastic/ piezoelectric Euler-Bernoulli nano-beam is investigated. For this purpose, the consistent couple stress theory is utilized for modeling the viscoelastic/piezoelectric nano-beam. Hamilton’s principle is also employed to obtain the governing equations of motion. Further, the Galerkin method is used in order to convert the governing partial differential equations to a nonlinear second-order ordinary differential one, and then multiple scale method is used to solve motion equation.


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