Open Access

ARTICLE

Thermal Bending of Circular Plates for Non-axisymmetrical Problems

Dong Zhengzhu¹, Peng Weihong¹, Li Shuncai¹

Structural Longevity 2010, 4(2), 105-112. https://doi.org/10.3970/sl.2010.004.105

Abstract

Due to the complexity of thermal elastic problems, analytic solutions have be obtained only for some axisymmetrical problems and simply problems. Using the Green function, the boundary integral formula and natural boundary integral equation for the boundary value problems of biharmonic equation is obtained. Then based on bending solutions to circular plates subjected to the non-axisymmetrical load, by the Fourier series and convolution formulae, the bending solutions under non-axisymmetrical thermal conditions are gained. The formulas for the solutions have high convergence velocity and computational accuracy, and the calculating process is simpler. Examples show the discussed methods are effective.

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Keywords

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