A Polynomial Method for Solving the Problems for Lateral Instability of Cantilever Plates

Yuan Yi-wu

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Article Navigation > Applied Mathematics and Mechanics > 1993 > 14(2): 151-155

Yuan Yi-wu. A Polynomial Method for Solving the Problems for Lateral Instability of Cantilever Plates[J]. Applied Mathematics and Mechanics, 1993, 14(2): 151-155.

Citation:

Yuan Yi-wu. A Polynomial Method for Solving the Problems for Lateral Instability of Cantilever Plates[J]. Applied Mathematics and Mechanics, 1993, 14(2): 151-155.

Citation:

Yuan Yi-wu. A Polynomial Method for Solving the Problems for Lateral Instability of Cantilever Plates[J]. Applied Mathematics and Mechanics, 1993, 14(2): 151-155.

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A Polynomial Method for Solving the Problems for Lateral Instability of Cantilever Plates

Yuan Yi-wu

Central South University of Technology, Changsha

Received Date: 1990-11-19
Publish Date: 1993-02-15

Abstract

Abstract

The present article researches the problems of the lateral instability of cantilever rectangular plates under a concentrated force or a uniformly distributed load respectively.We select the polynomial(2.1) instead of the cosecant function in Ref.[1] as the flexural functions.The minimum critical load obtained here is more exact than the results obtained in Ref.[1].
- cantilever plates,
- lateral instability,
- critical load,
- polynomial

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References(2)

References

[1]	成祥生,悬臂板侧屈中的几个问题,应用数学和力学,9,(8)(1988),787-792.
[2]	孙训方、方孝淑、关来泰编,《材料力学》,人民教育出版社,下册(1980),243.