Nonlinear vibrations of a clamped rectangular plate with initial deflection and initial edge displacement— Part I: Theory

Vibration and stability of hybrid plate based on elasticity theory

“…Brunell [18][19] studied the effects of an arbitrary initial stress on the vibration of an isotropic plate using the average stress and vibration methods. Yamaki [20] studied the vibration behavior of the initially stressed laminated plates based on the first-order theory. Rogerson [21] presented an arbitrary strain energy function in the pre-stressed laminated plate for small amplitude vibration based on various theories.…”

Nonlinear vibration of laminated plates on a nonlinear elastic foundation

“…Cheung [14] used a finite strip method to analyze the large amplitude vibration of plates under initial stresses. The effect of various initial stresses on the large amplitude vibration of plates was studied by Yamaki [15] using the first order plate theory. Chen [16,17] and Doong [18,19] presented the nonlinear vibration of an arbitrary initially stressed plates based on various plate theories.…”

Forced nonlinear vibration of laminated composite plates with random material properties

“…The nonlinear forced vibration of circular and rectangular plate with various boundary conditions has been studied [13,14] by applying the Galerkin or Rayleigh Ritz method. Singh et al [15,16] have analysed the nonlinear free and forced vibration of anti-symmetric rectangular cross-ply plates by using Hamilton principle.…”