Summary
Plate equation is
in which \( \text{D} = \frac{{\text{Eh}^3 \left( \text{r} \right)}} {{12\left( {1 - \text{v}^2 } \right)}} \) q=evenly distributed load, h(r)thickness of the plate, a function of r. To solve these problems, generally use numerical solution method. In this paper, we assume that h(r) is continuously differentiable sectionally. According to Weierstrass theorem, it can be uniformly approximated by using multinomial, we can thus obtain the analytic expression of the solution. This method is more facilitated for analytizing problems.
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References
S. Timoshenko, S. Woinowsky-Krieger: Theory of Plates and Shells (second edition) McGraw-Hill Book Company, Inc (1959)
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© 1986 Springer Japan
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Li, C.Z. (1986). The Exact Solution of Unequal Thickness Plate Problem. In: Yagawa, G., Atluri, S.N. (eds) Computational Mechanics ’86. Springer, Tokyo. https://doi.org/10.1007/978-4-431-68042-0_34
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DOI: https://doi.org/10.1007/978-4-431-68042-0_34
Publisher Name: Springer, Tokyo
Print ISBN: 978-4-431-68044-4
Online ISBN: 978-4-431-68042-0
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