任意载荷下波纹圆板大挠度弹性特征的级数解法

本文以正交异性板理论为基础,提出了一种波纹圆板非线性弯曲的Chebyshev级数解法,推导出具有中心平台的波纹圆板在任意轴对称载荷作用下的弹性特征方程.文中计算了几个典型的特例,数值结果表明,本文的方法对目前常用的方法有一定的改进和推广.     

波纹环形板在轴对称任意载荷作用下的非线性弯曲

本文以正交异性板理论为基础,提出了一种波纹环形板非线性弯曲的Cheby-shev级数解法,推导出具有硬中心的波纹环形板在任意轴对称载荷作用下的弹性特征方程.文中计算了几个典型的算例,数值结果表明本文的方法对目前文献中常见的方法有一定的改进和推广.     

SERIES SOLUTION FOR ELASTIC BEHAVIOR OF CORRUGATED CIRCULAR PLATES IN LARGE DEFLECTION UNDER ARBITRARY LOADS

Chebyshev polynomials are used to solve the problem of large deflection for corrugated eircular plates with a plane central region under arbitrary loads based on the nonlinear bending theory of anisotropic circular plates. Numerical results are compared with those available in the literature. The present method shows higher accuracies and larger application ranges.