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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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APA Style
Zhengzhu, D., Weihong, P., Shuncai, L. (2010). Thermal bending of circular plates for non-axisymmetrical problems. Structural Longevity, 4(2), 105-112. https://doi.org/10.3970/sl.2010.004.105
Vancouver Style
Zhengzhu D, Weihong P, Shuncai L. Thermal bending of circular plates for non-axisymmetrical problems. Structural Longevity . 2010;4(2):105-112 https://doi.org/10.3970/sl.2010.004.105
IEEE Style
D. Zhengzhu, P. Weihong, and L. Shuncai, “Thermal Bending of Circular Plates for Non-axisymmetrical Problems,” Structural Longevity , vol. 4, no. 2, pp. 105-112, 2010. https://doi.org/10.3970/sl.2010.004.105



cc Copyright © 2010 The Author(s). Published by Tech Science Press.
This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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