力学与实践 ›› 2019, Vol. 41 ›› Issue (4): 449-452.DOI: 10.6052/1000-0879-19-035

• 教育研究 • 上一篇    下一篇

从虚功原理来理解卡氏定理的应用

胡伟平1), 孟庆春   

  1. 北京航空航天大学航空科学与工程学院固体力学研究所,北京 100191
  • 发布日期:2019-08-26
  • 作者简介:1) 胡伟平,副教授,主要研究方向为材料力学、损伤力学、疲劳与断裂。E-mail: huweiping@buaa.edu.cn

THE CASTIGLIANO THEOREM AND THE PRINCIPLE OF VIRTUAL WORK HU Weiping 1)

MENG Qingchun   

  1. Institute of Solid Mechanics, School of Aeronautic Science & Engineering, Beihang University, Beijing~100191, China
  • Published:2019-08-26

摘要: 从虚功原理的角度讨论了在应用卡氏定理时支座反力的处理方法与原理。解释了在静定结构中,支座反力必须视为与外载荷相关的变量,而在静不定问题,多余支座反力既可以视为独立变量,也可以视为与外载荷相关的变量的根本原因。启发教师和学生在进行该部分内容的讲授与练习时,除了能够灵活运用卡氏定理外,还能够从本质上理解卡氏定理。

关键词: 虚功原理, 卡氏定理, 支座反力, 静定, 静不定

Abstract: The principle of virtual work is used to better understand the role of support reactions in the appliction of Castigliano theorem. The essencial explanation is made to the question why the support reactions should be considered to be independent varibles in statically determinate structures, while they can be regarded as either independent or dependent varibles in statically indeterminate structures. This paper may help to learn the nature of Castigliano theorem besides using it freely.

Key words: principle of virtual work, Castigliano theorem, support reactions, statically determinate, statically inderminate

中图分类号: