The mutual variational principle of free wave propagation in periodic structures |
| |
Authors: | Zhu Dechao Cheng Wei |
| |
Affiliation: | (1) Beijing University of Aeronautics and Astronautics, 100083 Beijing, China |
| |
Abstract: | By taking infinite periodic beams as examples, the mutual variational principle for analyzing the free wave propagation in periodic structures is established and demonstrated through the use of the propagation constant in the present paper, and the corresponding hierarchical finite element formulation is then derived. Thus, it provides the numerical analysis of that problem with a firm theoretical basis of variational principles, with which one may conveniently illustrate the mathematical and physical mechanisms of the wave propagation in periodic structures and the relationship with the natural vibration. The solution is discussed and examples are given. Supported by Doctorate Training Fund of National Education Commission of China |
| |
Keywords: | free wave propagation periodic structures non-self-adjoint problems mutual variational principles hierarchical finite element methods |
本文献已被 SpringerLink 等数据库收录! |