压电悬臂梁弯曲问题的哈密顿体系方法  

Hamiltonian System Approach to Bending Problem of Piezoelectric Cantilever Beam

作　　者：刘敏[1] 何文明[1] 

机构地区：[1]温州大学数学与信息科学学院,浙江温州325035

出　　处：《温州大学学报（自然科学版）》2010年第5期13-20,共8页Journal of Wenzhou University(Natural Science Edition)

摘　　要：基于哈密顿体系方法,给出了压电悬臂梁弯曲问题的解析解,并通过具体算例对哈密顿体系方法与传统方法进行了比较.结果表明,采用哈密顿体系方法求解压电悬臂梁弯曲问题,不仅可以扩大解析解的范围,而且可以方便地描述边界条件.Analytical solution for bending problem of piezoelectric cantilever beam was given based on the Hamiltonian system approach. The Hamiltonian system approach and the traditional method were compared with each other by an example. Results showed that the Hamiltonian system approach can not only extend the range of analytical solution, but also conveniently describe the boundary condition.

关 键 词：压电悬臂梁 哈密顿体系方法 本征解 

分 类 号：TB121[理学—工程力学]