上海交通大学学报

上海交通大学学报（自然版） ›› 2013, Vol. 47 ›› Issue (06): 872-877.

• 建筑科学 • 上一篇    下一篇

杆系结构的弹性冗余度及其特性分析

  

  1. (1. 上海交通大学 空间结构研究中心， 上海 200240； 2. 中国瑞林工程技术有限公司， 南昌 330031)
     
  • 收稿日期:2012-01-23
  • 基金资助:

    国家自然科学基金（50878128，51278299）资助项目

Elastic Redundancy of Pin-jointed Bar Structures and Its Characteristics Analysis

ZHU Hongfei1,2，CHEN Wujun1，DONG Shilin1
  

  1. (1. Space Structure Research Center, Shanghai Jiaotong University, Shanghai 200240, China；2. China Nerin Engineering Co. Ltd.， Nanchang 330031, China)
  • Received:2012-01-23

摘要：

摘要： 
为区别常规冗余度概念，给出了弹性冗余度定义.鉴于杆系结构的弹性冗余度与几何拓扑及弹性刚度有关，通过对势能方程求解微分，得到结构的平衡方程、物理方程和几何协调方程；将几何协调方程线性化，代入平衡方程和物理方程，得到弹性冗余度的计算公式，并用Matlab编程实现该算法.经典算例揭示了杆系结构的弹性冗余度特性.

关键词： 
杆系结构； 冗余度； 弹性冗余度

中图分类号：  TU 353
文献标志码：  A
 
 

Abstract:

The elastic redundancy is defined first, which is different from the conventional geometrical redundancy. Because the elastic redundancy of the pinjointed bar structures is dependent not only on the elastic stiffness but also on the geometry topology. The governing equations of equilibrium equation, physical equation and geometric equation are formulated from differential of the potential energy equation. After linearizing the geometry equation, and substituting it into the other two equations, the elastic redundancy formula is yielded. The presented algorithm is implemented with matlab. The benchmark examples unveil the characteristics of the elastic redundancy of the pin-jointed bar structures.

Key words: pin-jointed bar structures, redundancy, elastic redundancy