Author
C. Y. Chia
Bio: C. Y. Chia is an academic researcher from University of Calgary. The author has contributed to research in topics: Orthotropic material & Deflection (engineering). The author has an hindex of 11, co-authored 19 publications receiving 391 citations.
Papers
More filters
69 citations
48 citations
TL;DR: In this paper, an analytical analysis of free flexural large amplitude vibrations of orthotropic rectangular plates with all-clamped and all-simply supported stress-free edges is presented.
43 citations
TL;DR: In this paper, an analysis of the postbuckling behavior of a simply supported, rectangular, orthotropic plate subjected to biaxial compression is presented. But the analysis is restricted to the case of a simple support and the authors do not consider the post-buckling behaviour of an orthotropic material.
Abstract: An analysis is presented for the post-buckling behaviour of a simply supported, rectangular, orthotropic plate subjected to biaxial compression. The solution of von Karman-type large deflection equations of the plate satisfying the prescribed boundary conditions is expressed in the form of a double Fourier series for the transverse deflection and a double series for the stress function consisting of the appropriate beam functions. The effect of plate properties on stresses and deflections has been studied for three fibre-reinforced materials. Numerical results indicate good convergence of the present series solution and are compared with the available data.
37 citations
Cited by
More filters
374 citations
TL;DR: In this paper, the utility of a discrete singular convolution algorithm for solving certain mechanical problems is explored, including plate vibrations and incompressible flows, and numerical results indicate that the present approach is very accurate, efficient and reliable for solving the aforementioned problems.
199 citations
Book•
03 Jul 2013
TL;DR: In this article, the capability to predict the nonlinear response of beams, plates and shells when subjected to thermal and mechanical loads is of prime interest to structural analysis, and one of the important problems deserving special attention is the study of their non-linear response to large deflection, postbuckling and nonlinear vibration.
Abstract: The capability to predict the nonlinear response of beams, plates and shells when subjected to thermal and mechanical loads is of prime interest to structural analysis. in fact, many structures are subjected to high load levels that may result in nonlinear load-deflection relationships due to large deformations. One of the important problems deserving special attention is the study of their nonlinear response to large deflection, postbuckling and nonlinear vibration.
166 citations
TL;DR: In this article, the discrete singular convolution algorithm for vibration analysis of rectangular plates with mixed boundary conditions is introduced, and a unified scheme is proposed for the treatment of simply supported, clamped and transversely supported boundary conditions.
161 citations
TL;DR: In this article, the behavior of thin, rectangular, orthotropic elastic plates, with immovable edges and undergoing large deflections, is investigated by the numerical technique of differential quadrature.
Abstract: The behavior of thin, rectangular, orthotropic elastic plates, with immovable edges and undergoing large deflections, is investigated by the numerical technique of differential quadrature. Approximate results are obtained, using the Newton-Raphson method and, alternatively, a finite-difference-based method to solve the nonlinear systems of equations. Bending stresses, membrane stresses, and deflections are calculated for plates with fully clamped and simply supported flexural edge conditions under uniform pressure loading. Results are compared with existing analytical, numerical, and experimental ones. The present method gives good accuracy and is computationally efficient.
157 citations