考虑几何非线性和热效应的刚-柔耦合动力学  

RIGID-FLEXIBLE COUPLING DYNAMICS WITH CONSIDERATION OF GEOMETRIC NONLINEARITY AND THERMAL EFFECT

作　　者：刘锦阳[1] 袁瑞[1] 洪嘉振[1] 

机构地区：[1]上海交通大学工程力学系,上海200030

出　　处：《固体力学学报》2008年第1期73-77,共5页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金(10472066);高等学校博士点基多(20040248013)资助

摘　　要：温度增高和温度梯度会引起梁的纵向、横向变形位移,在一定程度上对刚-柔耦合规律产生影响.该文考虑热应变,从平面梁的非线性的应变与位移关系式出发,建立了刚体运动、弹性变形和温度相互耦合的有限元离散的热传导方程和动力学方程.研究热流作用下的中心刚体-简支梁系统的刚-柔耦合动力学性质,揭示了几何非线性项和热应变对弹性变形和刚体运动影响.Temperature increase and temperature gradient may induce a beam to produce both longitudinal and transversal deformations, and thus, may have influence on the rigid-flexible coupling dynamic characteristics of the beam. Using the nonlinear strain-displacement relation and taking the dynamic thermal strain effect into account, the heat conduction and dynamic equations are derived in this paper, in which coupling among rigid body motion, elastic deformation and temperature has been included. The effect of nonlinear terms and thermal strain on both the elastic deformation and rigid-body motion of a simply-supported beam is investigated in detail.

关 键 词：平面梁 几何非线性 热应变 刚柔耦合 

分 类 号：O343.6[理学—固体力学]