一种简化的区间B样条小波杂交应力元  

Simplified interval B-spline wavelet on interval hybrid stress element

作　　者：卿光辉[1] 张春潮[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》2015年第6期50-54,共5页Journal of Civil Aviation University of China

基　　金：国家自然科学基金项目(60979001)

摘　　要：结合杂交应力元理论,分别以2阶、4阶0尺度小波函数为基础,构造了一种对应于杂交应力元的简单形函数。这种形函数不仅克服了区间网格数成2的指数级增加而导致未知量增加的困难,同时简化了计算过程。为了验证理论的正确性,分析了二维弹性板在承受均布载荷下中线位移和应力的情况。在相同网格数的情况下,4阶小波尺度函数构造的杂交应力元计算结果比2阶的计算结果更加准确。Combining with the hybrid stress finite element theory, based on 2-order/4-order 0 scale wavelet functions, a type of shape function is presented and the process of computer is reduced. The shape function can overcome the difficulty of unknown number increase exponentially with 2 to the power of n. In order to verify the correctness of current formulation, the median displacement and stress of 2-D elastic rectangular plate under uniformly distributed load is analyzed with different meshes. With the same mesh, the results of 4-order wavelet function are more accurate than that of 2-order wavelet function.

关 键 词：有限元 杂交应力元 小波函数 形函数 

分 类 号：O343.1[理学—固体力学]