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Yeh, Yen-Liang; Wang, Cheng Chi; Jang, Ming-Jyi

Using finite difference and differential transformation method to analyze of large deflections of orthotropic rectangular plate problem. (English) Zbl 1137.74036

Appl. Math. Comput. 190, No. 2, 1146-1156 (2007).
Summary: This paper analyses the large deflections of an orthotropic rectangular clamped and simply supported thin plate. A hybrid method which combines the finite difference method and the differential transformation method is employed to reduce the partial differential equations describing large deflections of the orthotropic plate to a set of algebraic equations. The simulation results indicate that significant errors are present in the numerical results obtained for deflections of orthotropic plates in the transient state when a step force is applied. The magnitude of the numerical error is found to reduce, and the deflection of the orthotropic plate to converge, as the number of sub-domains considered in the solution procedure increases. The deflection of simply supported orthotropic plate is greater than the deflection of clamped orthotropic plate. The current modeling results confirm the applicability of the proposed hybrid method to the solution of large deflections of a rectangular orthotropic plate.

Cited in 9 Documents

MSC:

74K20 Plates
74S20 Finite difference methods applied to problems in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)

Keywords:

step force; simply supported plate; clamped plate
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\textit{Y.-L. Yeh} et al., Appl. Math. Comput. 190, No. 2, 1146--1156 (2007; Zbl 1137.74036)
Full Text: DOI

References:

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