昆明冶金高等专科学校学报
昆明冶金高等專科學校學報
곤명야금고등전과학교학보
Journal of Kunming Metallurgy College
2015年
5期
36-42
,共7页
弹性力学%应力边界条件%圣维南原理%求解方法
彈性力學%應力邊界條件%聖維南原理%求解方法
탄성역학%응력변계조건%골유남원리%구해방법
elastic mechanics%the stress boundary condition%saint venant principle%solving method
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。
彈性力學問題的基本方程不僅包括平衡微分方程、幾何方程和物理方程,還包括應力邊界條件和位移邊界條件。各種物體在不同外力、不同約束條件下其邊界條件往往不同,正是由于實際問題中邊界條件的韆變萬化構成瞭錯綜複雜的彈性力學問題。針對初學者求解彈性力學問題時,在正確建立應力邊界條件時遇到的睏難,基于對現有知識的歸納,分彆總結瞭主要應力邊界條件和次要應力邊界條件求解方法,前者的主要求解方法為比較法和公式法,後者的為靜力等效法和平衡條件法。
탄성역학문제적기본방정불부포괄평형미분방정、궤하방정화물리방정,환포괄응력변계조건화위이변계조건。각충물체재불동외력、불동약속조건하기변계조건왕왕불동,정시유우실제문제중변계조건적천변만화구성료착종복잡적탄성역학문제。침대초학자구해탄성역학문제시,재정학건립응력변계조건시우도적곤난,기우대현유지식적귀납,분별총결료주요응력변계조건화차요응력변계조건구해방법,전자적주요구해방법위비교법화공식법,후자적위정력등효법화평형조건법。
The basic equations of elastic mechanics include not only the equilibrium differential equa-tions,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 con-ditions 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.