基于B样条小波有限元的压电材料层合板灵敏度分析  

SENSITIVITY ANALYSIS BASED ON FINITE ELEMENT OF B-SPLINE WAVELETS FOR PIEZOELECTRIC LAMINATES

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：《工程力学》2010年第6期194-201,共8页Engineering Mechanics

基　　金：天津市自然科学基金项目(07JCYBJC02100)

摘　　要：在Hamilton体系下推导了压电材料层合板静力响应灵敏度系数的解析表达式,基于BSWI样条小波有限元方法,利用半解析法研究了混合层合板位移对材料常数灵敏度系数在z方向上的分布情况,并将半解析法的结果与有限差分法相比较,证明了半解析法结果的可靠性。结果表明:在边界条件为四边简支,上表面受均布单位压应力情况下,u和w对材料参数的灵敏程度相当,v对材料参数的灵敏程度相对较弱;u和v对材料参数的灵敏度系数在层合板厚度上变化范围较w更大。Based on BSWI wavelets element method,the analytical expressions of sensitivity coefficients of static response for composite laminates are derived in Hamiltonian Systems.Distribution of sensitivity coefficients of stress and displacements in z direction are studied by semi-analytical methods.The numerical results of semi-analytical methods are compared with those of the finite difference methods,demonstrating the reliability of semi-analytical methods based on wavelets and Hamiltonian Systems.The results of semi-analytical methods show that,when the piezoelectric laminates simply supported on four sides are subjected to pre unit uniform compressive stress,the sensitivity coefficients of displacements u and w are similar,and greater than those of v.The variation range of the sensitivity coefficients of displacements u and v are greater than those of w in z direction.

关 键 词：BSWI小波 小波有限元 压电材料 灵敏度 HAMILTON体系 

分 类 号：TB332[一般工业技术—材料科学与工程]