摘要
对八节点压电固体单元的列式进行了深入的研究,从虚功方程出发,利用加强假定应变法(EAS)、假定自然应变法(ANS)等推导了几个新的八节点压电固体单元,并与现有的非协调八节点压电固体单元的性能进行了比较,克服了模拟薄板时所遇到的过高剪切能的缺陷,EAS单元减少了要凝聚的内部参数的个数,而ANS单元则根本不需要凝聚内部参数,因此显著提高了计算效率;依据一个修正的广义变分原理,建立了精化杂交压电固体单元,该单元具有很好的对歪斜网格的适应性;静、动态分析表明,该文所建立的几个单元的计算精度均优于现有的非协调八节点压电固体单元。
In this paper, the formulation of piezoelectric brick element models is thoroughly investigated. Starting from the virtual work equation, several novel eight-node piezoelectric solid elements are derived by enhanced assumed strain and assumed natural strain approachs, the significant deficiency of excessive shear strain energy in 'thin' structural applications is overcome and their performance are compared with the now available eight-node piezoelectric solid elements. EAS modes reduce the number of internal DOFs and it is not necessary to condense the internal parameters for ANS elements, so the computational efficiency is greatly improved. A 8-node refined hybrid piezoelectric solid element is also derived in this paper based upon an modified generalized variational principle, this element has less sensitivity to mesh distortion compared with other state-of-art piezoelectric solid elements. The numerical examples of static deformation and dynamic analysis demonstrate that the computational accuracy of the elements presented in this paper is superior to now available incompatible eight-node piezoelectric solid element.
出处
《压电与声光》
CSCD
北大核心
2004年第4期321-324,共4页
Piezoelectrics & Acoustooptics
基金
国家自然科学基金资助项目(50135030
10072026)
江苏省自然科学基金资助项目(BK2002090)
