Nonlinear Solution
1. An efficient analytical solution for nonlinear vibrations of a parametrically excited beam

saeed mahmoudkhani

Volume 7, Issue 1 , Summer and Autumn 2017, , Pages 127-136

Abstract
  An efficient and accurate analytical solution is provided using the homotopy-Pade technique for the nonlinear vibration of parametrically excited cantilever beams. The model is based on the Euler-Bernoulli assumption and includes third order nonlinear terms arisen from the inertial and curvature nonlinearities. ...  Read More

Perturbation Technique
2. A study on the use of perturbation technique for analyzing the nonlinear forced response of piezoelectric microcantilevers

M. Zamanian; M. Hadilu; B. Firouzi

Volume 5, Issue 2 , Winter and Spring 2016, , Pages 161-172

Abstract
  In this paper, a comparison is made between direct and indirect perturbation approaches to solve the non-linear vibration equations of a piezoelectrically actuated cantilever microbeam. In this comparison, the equation of motion is considered according to Euler-Bernoulli theory with considering the non-linear ...  Read More

Vibration
3. Large amplitude vibration prediction of rectangular plates by an optimal artificial neural network (ANN)

Mahdi Karimi; Alireza Shooshtari; Soheil Razavi

Volume 4, Issue 1 , Summer and Autumn 2014, , Pages 55-65

Abstract
  In this paper, nonlinear equations of motion for laminated composite rectangular plates based on the first order shear deformation theory were derived. Using a perturbation method, the nonlinear equation of motion was solved and analytical relations were obtained for natural and nonlinear frequencies. ...  Read More

Control
4. Nonlinear static and dynamic behaviors of a microresonator under discontinuous electrostatic actuation

M. Zamanian; S. A. A. Hosseini

Volume 3, Issue 2 , Winter and Spring 2014, , Pages 145-159

Abstract
  This article studied static deflection, natural frequency and nonlinear vibration of a clamped-clamped microbeam under discontinues electrostatic actuation. The electrostatic actuation was induced by applying AC-DC voltage between the microbeam and electrode plate. In contrast to previous works, it was ...  Read More