【作者】 黄永安； 尹周平； 熊有伦；

【Author】 HUANG Yong-an1,2, YIN Zhou-ping1,2, XIONG You-lun1,2 (1. School of Mechanical Science & Engineering, Huazhong University of Science & Technology, Wuhan, 430074; 2. State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science & Technology, Wuhan, 430074)

【机构】 华中科技大学机械科学与工程学院； 华中科技大学数字制造装备与技术国家重点实验室；

【摘要】 本文提出多体多物理场建模方法,对智能多体系统中的热-电-位移场耦合行为进行研究,分析大范围运动、温度和压电智能构件相互作用。当多体系统中柔性构件为大柔性构件时,可以将柔性智能构件视为带有压电层的层合梁,不同的层合材料也使得梁的不同部分具有不同的热膨胀系数。首先,利用一次近似耦合(FOAC)理论对多体系统的柔性构件的位移场进行描述,得到大范围运动与几何应变之间的关系,然后通过压电-热-弹性理论考虑压电场和温度场与几何应变的耦合。然后,就可以得到热-电-位移场耦合本构关系。在得到系统势能和动能的详细描述基础上,利用广义Hamilton原理得到多物理场耦合多体系统的动力学模型。最后,通过计算仿真说明大范围运动与电场之间的耦合、热冲击对位移场的影响、热场与电场之间的耦合等,并利用热-电-位移场耦合模型对热场中工作的柔性智能多体系统的动力学响应进行计算。更多还原

【Abstract】 In this paper, the multibody-based multiphysics modeling method is presented to study the coupled behavior of the thermo-piezo-displacement of a smart multibody system and analyze the coupled action among the large motion, the temperature and the piezoelectric. If the components of the multibody system are high flexible, it can be treated as a laminated beam with two piezoelectric layers, which possess disparate coefficients of thermal expansion. Firstly, the flexible component is described by the first-order approximation coupling (FOAC) model theory to get the relation between displacement and geometric deformation, and the relation of the thermal, the piezoelectric field and the geometric deformation are considered by use of the piezo-thermo-elasticity theory. Thus the constitutive relations of the thermo-piezo-displacement coupled model can be given. Based on it, the kinetic and the potential energies can be given in details. Then the dynamic model of the multiphysics coupled multibody system can be given in the frame of the generalized Hamiltonian principle. In the end, several simulations are adopted to show the coupled effect between the large displacement and the piezoelectric, dynamic response of thermal impact and the coupled effect between the thermal and the piezoelectric fields, and the dynamic response of the smart multibody working in thermal field is studied based on the thermo-piezo-displacement coupled model.更多还原