Qingshan Wang

TL;DR: In this paper, a unified method is presented for the vibration analysis of the plates mentioned above with general boundary conditions based on the first-order shear deformation theory and Ritz procedure.

TL;DR: The vibrations of circular, annular, and sector plates are traditionally considered as different boundary value problems and often treated using different solution algorithms and procedures as mentioned in this paper, and the vibrations of these plates are considered as boundary value functions.

TL;DR: In this paper, the free in-plane vibration analysis of orthotropic rectangular plates with non-uniform boundary conditions and internal line supports is performed with a modified Fourier solution, in which both two inplane displacements are represented by a double Fourier cosine series and four supplementary functions are introduced to remove the potential discontinuities associated with the original displacement functions along the edges when they are viewed as periodic functions defined over the entire x-y plane.

TL;DR: In this paper, a modified Fourier-Ritz approach has been adopted to analyze the free vibration of axially loaded laminated composite beams with arbitrary layup and general boundary conditions, which include classical boundaries, elastic boundaries, and their combination.

TL;DR: In this article, a unified solution procedure based on the first-order shear deformation theory is presented for the free vibration analysis of moderately thick orthotropic rectangular plates with general boundary restraints, internal line supports and resting on elastic foundation.