基于B-样条小波的复合材料层合板灵敏度分析  

Sensitivity analysis based on finite element of B-spline wavelets for composite laminated plates

作　　者：徐建新[1] 李顶河[1] 卢翔[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：《计算力学学报》2010年第4期642-647,共6页Chinese Journal of Computational Mechanics

基　　金：天津市自然科学基金(07JCYBJC02100)资助项目

摘　　要：基于BSWI样条小波有限元方法,将响应和响应的灵敏度系数同时看作状态变量,在Hamilton体系下推导了复合材料层合板响应和响应灵敏度系数的混合控制方程。基于该混合控制方程研究了对称铺层四边固支复合材料层合板的位移响应灵敏度系数在z方向上的分布情况,并将计算结果与有限差分法进行比较。结果表明:材料参数E1,E2和G12对位移响应影响明显,其中以E1对位移响应的影响最大,E2次之。与经验法相比,半解析法计算结果相对误差小于10-4,这说明本文的计算方法是正确的,且降低了计算成本和程序实现难度,提高了计算精度。Based on BSWI（B-spline wavelet on the interval） wavelets element method,a hybrid governing equation of static response quantities and static sensitivity coefficients for composite laminated plates is derived in Hamiltonian Systems by combining the state space equation and the sensitivity analysis of non-homogenous state equation for composite laminated plates.The displacements sensitivity coefficients of symmetrical composite laminates are obtained by this sensitivity analysis scheme.This paper studies the distribution of sensitivity coefficients of displacements in z direction for symmetrical composite laminates with complete clamp support.The numerical results obtained by semi-analytical method are compared with that of the finite difference method.The results show that the effect of material parameters E 1,E 2 and G 12 on displacements of composite laminated plates is significant.Compared with the finite difference method,the relative error of sensitivity analysis method presented in this paper is less than 10-4.Furthermore,because it＇s not need to carry out convolution algorithm in this approach,the difficulty of programming is declined significantly,and the calculation accuracy is improved as well.

关 键 词：BSWI小波 小波有限元 复合材料层合板 灵敏度 HAMILTON体系 

分 类 号：O242.21[理学—计算数学] TB332[理学—数学]