应用数学和力学2025，Vol.46Issue(9)：1130-1146,17.DOI:10.21656/1000-0887.450255
温致材料弹性模量变化的刚-柔-热耦合系统动力学
Dynamics of Rigid-Flexible-Thermal Coupled System With Temperature-Dependent Material Elastic Modulus
摘要
Abstract
During space missions,spacecrafts are subjected to complex thermal loads in the space environ-ment,suffering significant temperature variations in their flexible structures.These temperature variations can induce strongly nonlinear thermo-dynamic coupling responses,which may,in severe cases,cause spacecraft failure.For large and low-stiffness flexible structures,even a slight change in the material elastic modulus can result in significant system responses.Therefore,it is essential to analyze the effects of temperature-dependent elastic moduli on the dynamics of rigid-flexible-thermal coupled systems.The absolute nodal coordinate formu-lation(ANCF)was applied,where both displacement and temperature fields are described with positions and gradients as generalized coordinates.The temperature-dependent material elastic modulus was considered,and an isoparametric element with unified shape function interpolation for both displacement and temperature fields was proposed.The system's dynamic equations were derived based on the principle of virtual work,and the heat transfer equations were derived from the law of energy conservation.The generalized-α method was used to simultaneously solve these 2 sets of equations at each time step.The validity of the proposed model was first verified with the Boley simply supported beam.Then,the rigid-flexible-thermal coupled dynamic models were established for a rotating flexible beam and a spacecraft with a central rigid body and laminate solar panels.Dy-namic analyses and comparisons were conducted for cases with and without temperature-induced changes in the material elastic modulus.The results show that,during the heat transfer process,compared to the effects of thermal stress on the system responses,the decrease in the material elastic modulus under thermal environment has a more significant impact on the system response.For rotating flexible beams,Ewith angular velocity ω0=2 rad/s and 10 rad/s,the maximum tip deformation increases by 9.7％and 4.5％respectively compared to that in the rigid flexible coupling case.For the central rigid body sandwich panel,with moment M0=200 N·m and 2 000 N·m,the maximum deformation at the test point increases by 8.7％and 7.1％respectively compared to that in the rigid flexible coupling case.The effects of temperature induced changes in the material elastic modu-lus on the dynamic responses of rigid flexible thermal coupling systems cannot be ignored,and the work pro-vides a reference for the design of spacecraft control systems.关键词
刚-柔-热耦合/绝对节点坐标法/温致材料弹性模量变化Key words
rigid-flexible-thermal coupling/absolute nodal coordinate formulation/temperature-induced change in material elastic modulus分类
数理科学引用本文复制引用
杨煜林,田青龙,蔡陈生,唐育聪,任建伟,董杨,高辉遥,赵振宇,卢天健..温致材料弹性模量变化的刚-柔-热耦合系统动力学[J].应用数学和力学,2025,46(9):1130-1146,17.基金项目
国家自然科学基金(11972185 （）
12002156 （）
12302047) （）
