摘要
探讨富里叶级数在求解板壳大挠度问题中的应用。通过恰当选取挠曲函数、内力函数和对微分方程组实施无量纲化，再在文献［１］的基础上对级数相乘进一步推究，找到处理方程组非线性项的途径，导出方程组的纳维叶形式解，根据该解中所含待定系数相互耦合且具有迭代结构这一特征，使用解析电算法求解板壳大挠度问题。
This paper is a discussion of the application of the Fourier series for solving large deflection equations of plates and shells. By deriving the multiplication rule of double Fourier series, an approach to solving nonlinear terms is found. Furthermore, a similar Navier's solution on equations is obtained. According to the feature that undetermined coefficients are coupled but have the iteration structure in the expression, the paper gives a method-analysis computation with computer. This method is simple and convenient in the application. It can improve obviously the calculative precision and efficiency.
出处
《福州大学学报（自然科学版）》
CAS
CSCD
1994年第4期36-43,共8页
Journal of Fuzhou University(Natural Science Edition)
关键词
板壳
大挠度
解析电算法
挠度
plates and shells
large deflection
Navier's solution
analysis-computation with computer
