压电材料变分原理逆问题的研究
ON THE INVERSE PROBLEM IN CALCULUS OF VARIATIONS FOR PIEZOELECTRIC MEDIA
-
摘要: 研究了压电材料变分原理的逆问题, 采用文献 8 提出的变积方法, 系统地建立了压电材料的变分原理及其广义变分原理, 除得到文献中已有的结果外, 还得到了一些新的变分原理, 为建立压电材料的有限元分析模型提供了依据。Abstract: The inverse problem in Calculus of Variations for piezoelectric media was studied. Several kinds of variational principles and generalized variational principles of the media were established systematically by using the VI method introduced in Ref.. The results can be used in numerical analysis of the problem.