Abstract

An analysis of large amplitude oscillations of right triangular anisotropic plates is given, based on von Kármán governing equations generalized to the dynamical and rectilinearly orthotropic case. The coordinate functions represented in a separable form involve the deflection of the plate and the membrane stress function. Both the deflection and the stress satisfy the boundary conditions associated with a built-in contour, free to move in the normal inplane directions. By means of Galerkin procedure a nonlinear second order differential equation for the unknown time function is obtained and readily solved in terms of Jacobian elliptic functions. Period of linear and nonlinear oscillations as well as static nonlinear case are analyzed for various types of anisotropy, side ratios and values of the amplitude.

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