悬臂板侧屈问题的多项式解法
A Polynomial Method for Solving the Problems for Lateral Instability of Cantilever Plates
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摘要: 本文研究了悬臂矩形板受均布载荷或集中载荷作用时的侧屈问题.挠度函数选用多项式(2.1)以取代文献[1]中的余弦函数.本文得到的最小临界载荷比文献[1]相应结果更加准确,计算过程也十分简单.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].
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Key words:
- cantilever plates /
- lateral instability /
- critical load /
- polynomial
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[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. -
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