矩形悬臂薄板精确解分析  

Eaxct Solution of Rectangular Cantilever Thin Plates

作　　者：钟阳[1] 田斌[1] 李锐[1] 

机构地区：[1]大连理工大学土木水利学院,大连116024

出　　处：《武汉理工大学学报》2010年第8期102-106,共5页Journal of Wuhan University of Technology

基　　金：科学技术部重大基础研究项目(2004CCA03300)

摘　　要：采用有限积分变换的方法推导出了矩形悬臂薄板挠度和内力的精确解,该方法不仅概念清晰、计算简便,而且较传统叠加法、傅立叶级数法等方法的计算量有明显减少。由于在求解过程中不需要预先人为选取挠度函数,而是直接从弹性薄板的基本方程出发进行计算,使得问题的求解更加合理。通过计算实例验证了该方法的正确性。Exact bending solutions of rectangular cantilever plates are derived by the double finite integral transform method.The method is clear in concept and the amount of calculation is obviously reduced as compared with classical approaches such as the superposition method and the Fourier series method.Since only the basic elasticity equations of the plates are used,the method utilized in this paper eliminates the need to predetermine the deformation function arbitrarly and is hence more reasonable than conventional semi-inverse methods.Numerical examples are presented in the paper to demonstrate the validity of the approach.

关 键 词：矩形悬臂薄板 任意荷载 精确解 自由角点 Stokes求导 

分 类 号：TU470[建筑科学—结构工程]