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昆明冶金高等专科学校学报 ›› 2015, Vol. 31 ›› Issue (5): 36-42.DOI: 10. 3969/j. issn. 1009—0479.2015.05.007

• 机械设计制造与自动化技术 • 上一篇    下一篇

论弹性力学中应力边界条件的确定方法

沈孟飞   

  1. 云南省地方煤矿设计研究院,云南昆明650041
  • 收稿日期:2015-06-15 出版日期:2015-11-30 发布日期:2015-11-30
  • 作者简介:沈孟飞(1992一),男,山东菏泽人,助理工程师,工学硕士,主要从事矿山设计工作。

Discuses on the Methods of Ascertaining Stress Boundary Condition in the Elastic Mechanics

SHEN Meng-fei   

  1. Design and Research Institute of  Yunnan Local Coal Mine, Kunming 650041,China
  • Received:2015-06-15 Online:2015-11-30 Published:2015-11-30

摘要:

弹性力学问题的基本方程不仅包括平衡微分方程、几何方程和物理方程,还包括应力边界条件和位移边界条件。各种物体在不同外力、不同约束条件下其边界条件往往不同,正是由于实际问题中边界条件的千变万化构成了错综复杂的弹性力学问题。针对初学者求解弹性力学问题时,在正确建立应力边界条件时遇到的困难,基于对现有知识的归纳,分别总结了主要应力边界条件和次要应力边界条件求解方法,前者的主要求解方法为比较法和公式法,后者的为静力等效法和平衡条件法。

关键词: 弹性力学, 应力边界条件, 圣维南原理, 求解方法

Abstract:

The basic equations of elastic mechanics include not only the equilibrium differential equations,the geometric equations and the physical equations,but also the stress boundary conditions and the displacement boundary conditions. Various objects in different forces,different constraints boundary conditions are often different,because of practical problems in changing boundary conditions constitute a complex elasticity problem. It’s difficult to establish the stress boundary condition for beginners to solve the problem of elastic mechanics. Based on the induction of the existing knowledge,the main stress boundary conditions and the secondary stress boundary conditions are summarized respectively. The main method of the former is the comparison method and the formula method. The latter is the equivalent static method and the equilibrium condition method.

Key words: elastic mechanics, the stress boundary condition, saint venant principle, solving method

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