摘要
根据正交各向异性变厚度圆薄板大挠度问题的基本控制方程导出了其相应微分求积法分析格式.在此基础上,求得了在均布载荷作用下本问题的数值解.所导出的非线性代数方程组用拟牛顿法求解.通过与修正迭代解的比较阐明了微分求积法作为一种简便的数值方法在求解一类具有规则求解区域的非线性偏微分方程边值问题中的计算效率.
Based on the governing equations for large deflection theory of thin orthotropic circular palte with variable thickness, the DQ formulation of the title problem is derived. By using DQ mehtod, numerical results are obtained which are in fairly good agreement with those by the modified iteration method. The comparison between them shows that the present method is of high accuracy, efficiency and convenience and it will find a wide application in engineering.
出处
《华中理工大学学报》
CSCD
北大核心
1999年第8期52-53,62,共3页
Journal of Huazhong University of Science and Technology
关键词
正交异性
大挠度
微分求积法
变厚度圆薄板
薄板
large deflection
orthotropy
differential quadrature method Chen Yiping Doctoral Candidate