摘要
本文推导出一致边界特征值与特征向量的显式解析表达式,从而进一步证明:一致边界并不是绝对精确的人工边界,它只能在一定的条件下方能给出满意的结果。文中在一维情形下证明了一致边界离散体系的最大特征频率在数学上等价于该体系的波动截止频率,从而从物理意义出发推导出一致边界的离散化准则,为一致边界的应用提供了理论指导。
The paper derives the explicit expression of the eigenvalue and eigenvector of the consistent boundary,thus verifies that the consistent boundary is not an absolutely accurate one. Take the one-dimensional case as an example, the paper demonstrates that the maximum eigenvalue of a discrete system for consistent boundary equals to in mathematics the cut-off frequency of the system. Based on this conclusion,the paper deduces the discretization criterion of the consistent boundary , which provides a theoretical guide for the application of the. consistent boundary.
出处
《地震工程与工程振动》
CSCD
北大核心
1992年第3期33-40,共8页
Earthquake Engineering and Engineering Dynamics
