中文摘要：

研究考虑热效应的柔性板的刚－柔耦合动力学规律．根据柔性板的运动学关系和本构关系，用Jourdain速度变分原理建立了作空间运动的柔性体的动力学变分方程．引入与应变率有关的耦合项，建立了连续的热传导变分方程．用三维空间的有限元法分别对变形场和温度场进行离散，建立了动力学和热传导耦合方程．研究温度变化对系统的刚－柔耦合动力学特性的影响，发现在周期性热流作用下的共振频率与频谱分析得到的系统固有频率之间的内在关系，揭示了热传导方程中与弹性变形有关的耦合项对温度变化的影响．最后从温度场的泰勒多项式出发，对三维空间的温度场和变形场建立了精确的二维有限元模型，并对二维线性近似有限元模型的适用性进行了研究．

英文摘要：

The rigid-flexible dynamics of a flexible plate considering thermal effect was investigated. Based on kinematic and stress-strain relations, variational dynamic equations of a flexible body undergoing spatial overall motion are derived using Jourdain velocity variational principle, and continuous heat conduction variational equation is established, in which the coupling term related to strain rate is included. Three dimensional finite element method is employed for discretization, and the coupling dynamic and conductive equations of the flexible plate are obtained. The influence of the temperature variation on the coupling performance of rigid body motion and elastic deformation is investigated. The relation between the resonance frequency of the system and the system natural frequency obtained by frequency spectrum analysis method is revealed. Furthermore, the effect of the coupling terms in heat conductive equation due to elastic deformation is also investigated. Finally, based on Tailor polynomial expression of temperature field,an exact two dimensional finite element model is established for the three dimensional temperature field and deformation field. The applicability of the two dimensional linear finite element model is investigated.