这份报纸就热效果而言与大变丑为灵活 multibody 系统开发几何非线性的混合明确的表达。与常规明确的表达不同,因此,热流动是旋转角度和有弹性的变丑的功能在温度,大全面运动和有弹性的变丑之中联合应该被考虑。基于非线性的紧张排水量关系,第一,为一根灵活横梁的变化动态方程和热传导方程被使用虚拟工作途径导出,然后,第一种灵活 multibody 系统的 Lagrange 动力学方程和热传导方程被带进更多样地与联系的 Lagrange 的向量获得运动学并且温度限制方程。这明确的表达被用来模仿热包括的中心横梁系统。在联合系统和解开的系统之间的反应的比较揭示了热啁啾现象。然后,为稳定性,中央身体的惯性的包括的片刻,事件角度,抑制比率和反应的关键参数预定比率,被分析。这明确的表达也被用来模仿与热流动使用的一个三连接的系统。建议明确的表达获得,那些由近似非线性的模型和线性模型获得了的结果的比较显示出在大变丑的情况下在紧张考虑所有非线性的术语的意义。最后,近似非线性的模型的适用性和线性模型详细被澄清。
This paper develops geometric nonlinear hybrid formulation for flexible multibody system with large deformation considering thermal effect. Different from the conventional formulation, the heat flux is the function of the rotational angle and the elastic deformation, therefore, the coupling among the temperature, the large overall motion and the elastic deformation should be taken into account. Firstly, based on nonlinear strain-displacement relationship, varia- tional dynamic equations and heat conduction equations for a flexible beam are derived by using virtual work approach, and then, Lagrange dynamics equations and heat conduction equations of the first kind of the flexible multibody system are obtained by leading into the vectors of Lagrange multiplier associated with kinematic and temperature constraint equations. This formulation is used to simulate the thermal included hub-beam system. Comparison of the response be- tween the coupled system and the uncoupled system has re- vealed the thermal chattering phenomenon. Then, the key parameters for stability, including the moment of inertia of the central body, the incident angle, the damping ratio and the response time ratio, are analyzed. This formulation is also used to simulate a three-link system applied with heat flux. Comparison of the results obtained by the proposed formulation with those obtained by the approximate nonlinear model and the linear model shows the significance of con- sidering all the nonlinear terms in the strain in case of large deformation. At last, applicability of the approximate non- linear model and the linear model are clarified in detail.