周边固支环扇形板静力学问题的小波方法  

Wavelet Method of Static Solution for Annular Sector Plate with Four Sides Clamped

作　　者：陈聪[1] 张领[1] 卿光辉[1] 

机构地区：[1]中国民航大学航空工程学院,天津300300

出　　处：《中国民航大学学报》2009年第1期60-64,共5页Journal of Civil Aviation University of China

基　　金：天津市自然科学基金项目(07JCYBJC02100)

摘　　要：根据相关文献,将拟Shannon小波配置法应用到环扇形板的混合状态方程中,构造出了环扇形板平面方向离散,而厚度方向是解析的混合状态方程。因为用拟Shannon小波张量积表示的近似解是离散形式的,所以固支边界的未知应力可以近似地用内点的应力和位移来表示。数值实例验证了本文方法的正确性。Based upon the relative references, the mixed state equation of elastic annular sector plate, which was discreted in plane and hold the continuity along the thickness, was established by employing the quasi- shannon wavelet collocation method. Because of the discrete form of the approximate solution which is expressed by the tensor of the Quasi-shannon wavelet, the unknown stress of the clamped boundary can be expressed by the stress and displacement of inner nodes. Numerical results confirmed that the approach in this paper is correct.

关 键 词：拟Shannon小波配置法 混合状态方程 固支边界条件 精细积分法 

分 类 号：O343.8[理学—固体力学]