夹层圆板大挠度问题的精确解

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Exact Solution for Circular Sandwich Plate with Large Deflection

Department of Modern Mechanics, University of Science and Technology of China, Hefei, Anhui

摘要: 本文应用幂级数方法求出了在均布载荷作用下夹层圆板大挠度问题的精确解.我们应用这一精确解验证了本文第一作者^[4]以前用修正迭代法所得的解析解的精确度.由验证可知:解析解的精确性是十分令人满意的.

Abstract: This paper gives the exact solution of large deflection of circular sandwich plate under the action of uniform lateral load by the method of power series. Making use of this solution, we can judge the accuracy of Liu Ren-huai's⁽⁴⁾ analytic solution obtained by means of the modified iteration method. This indicates that the previous solution has very satisfactory accuracy.

[1]	Reissner.E.,Finite deflections of sandwich plates,J.Aeron,Sci.,15.7(1948).435.17,2(1950),125.
[2]	中国科学院北京力学研究所固体力学研究室板壳组,夹层板壳的弯曲、稳定和振动,科学出版社,北京(1977),42.
[3]	刘人怀,在边缘力矩作用下夹层圆板的非线性轴对称弯曲问题,中国科学技术大学学报,10,2(1980),56.
[4]	刘人怀,夹层圆板的非线性弯曲,应用数学和力学,2.2(1981).173-190.