摘要
针对各种简单边界条件为零的正交各向异性矩形薄板在各种形式荷载作用下的弯曲、稳定、振动问题,构造了四次逐项可导的带有补充项的双重正弦傅立叶级数新通解。该通解不需要叠加,对不同的物性参数不需要分类,待定系数少且具有明确的物理意义。研究结果表明,该方法计算结果与文献吻合良好。
In this paper, a double sine series with supplementary terms is constructed to analyze the bending, stability and vibration problems of orthotropic rectangular thin plates under various loads and with arbitrary boundary conditions. This analytic solution neither needs to be superposed, nor requires to be classified for different physical parameters. At the same time, this analytic solution has less undetermined coefficients and definite physical meanings. The solution process is unified, simplified and regularized. Some numerical examples are analyzed and the results are compared with those from the literature. The agreement is found to be satisfactory proving this new method is feasible in practical applications.
出处
《应用力学学报》
CAS
CSCD
北大核心
2010年第3期616-621,共6页
Chinese Journal of Applied Mechanics
基金
陕西省自然科学基金(2010JM7015)
关键词
正交各向异性矩形薄板
弯曲
稳定
振动
解析解
orthotropic rectangular thin plates, bending, stability, vibration, analytic solution.
