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.[著者文摘]
文章出处:
《固体力学学报》-2008年29卷1期 -73-77页
栏目信息:
RIGID-FLEXIBLE COUPLING DYNAMICS WITH CONSIDERATION OF GEOMETRIC NONLINEARITY AND THERMAL EFFECT
Jinyang Liu, Rui Yuan, Jiazhen Hong (Department of Engineering Mechanics, Shanghai Jiao Tong University, Shanghai, 200030)
Abstract:
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.[著者文摘]
Key words:
planar beam, nonlinearity, thermal strain, rigid-flexible coupling
基金资助:
国家自然科学基金(10472066)和高等学校博士点基多(20040248013)资助.

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