中文核心期刊
CSCD来源期刊
中国科技核心期刊
RCCSE中国核心学术期刊

重庆交通大学学报(自然科学版) ›› 1985, Vol. 4 ›› Issue (1): 12-27.

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几种带离散质体的连续链式系统本征值问题的解析解

刘醒亚, 杨金林   

  • 收稿日期:1984-11-20 出版日期:1985-02-18 发布日期:2016-11-09

The Analytical Solution of an Eigenvalue Problem for Several Continual Linked Structures with Discrete Masses

Liu Xingya, Yang Jinlin   

  1. Chengdu University of Science and Technology, Department of Engineering Mechanics
  • Received:1984-11-20 Online:1985-02-18 Published:2016-11-09

摘要: 本文通过建立多支点弦、连续梁、和框架结构本征值问题的解析解,来说明如何构造连续链式系统本征函数的解析表达式,以及如何获取其正交关系和归一化条件。

Abstract: With the help of the analytical solution of the eigenvalue problem of a string hung upon many points of bearing, a continue beam and a framework, this paper gives a description of how to construct the analytical expression of an eigenfunction and how to find out the orthogonal relationships and orthonormal condition of a system of eigenfunction for a continual linked structure.