Abstract
This paper deals with large-amplitude flexural vibrations of an anisotropic rectangular plate with parallel edges having the varying rotational constraints to the same degree. On the basis dynamic von Karman-type plate equations, a single-mode analysis is carried out. In the formulation of a solution the edge moments are replaced by an equivalent lateral pressure near these edges. With use of the Galerkin procedure the equation of motion is reduced to an equation for the time function. The elliptic integral method is employed. Numerical results for the amplitude-frequency response of generally orthotropic plates are presented for various high-modulus composite materials, orientation angles, aspect ratios, and boundary conditions. Present results for special cases are compared with available data.
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