Abstract
Cubic B-spline taken as trial function, the nonlinear bending of a circular sandwich plate was calculated by the method of point collocation. The support could be elastic. A sandwich plate was assumed to be Reissner model. The formulae were developed for the calculation of a circular sandwich plate subjected to polynomial distributed loads, uniformly distributed moments, radial pressure or radial prestress along the edge and their combination. Buckling load was calculated for the first time by nonlinear theory. Under action of uniformly distributed loads, results were compared with that obtained by the power series method. Excellences of the program written by the spline collocation method are wide convergent range, high precision and universal.
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Communicated by LIU Ren-huai
Biography: HOU Chao-sheng, Associate Professor, E-mail: lghcs@167.net.cn
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Chao-sheng, H., Shou-kai, Z. & Feng, L. Cublic spline solutions of axisymmetrical nonlinear bending and buckling of circular sandwich plates. Appl Math Mech 26, 131–138 (2005). https://doi.org/10.1007/BF02438374
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DOI: https://doi.org/10.1007/BF02438374