Large space structures would exhibit orbit-attitude-structure-thermal coupled effects in complicated space environment. Thus, a new thermal-structure coupled modelling method is proposed using gradient-deficient absolute nodal coordinate formulation beam elements. Compared to the previous methods, both axial and circumferential heat conduction are considered. The cubic interpolation in temperature field instead of the linear interpolation is adopted to obtain a unified-mesh temperature-displacement description. The gravitational force and gravity gradient are modelled, and the effects of attitude motion and structural deformation on solar radiation intensity are considered. In addition, three kinds of quasi-static thermal-structure coupled models are proposed based on Euler-Bernoulli beam theory. Based on the quasi-static models, the theoretical formulas are derived to effectively predict the thermally induced vibrations of the beam in space. Four numerical examples are studied to validate the proposed models, including the heat conduction examples with three boundary conditions and a thermal-structure coupled cantilever beam example. Based on the proposed formulation, the orbit-attitude-structure-thermal coupled dynamics of a multibody system consisted of a rigid body and a large flexible appendage is investigated considering the gravity gradient, solar radiation, Earth's shadow, and self-shadow.

中文翻译：

---

统一网格大空间结构轨道-姿态-结构-热耦合建模方法


大型空间结构在复杂的空间环境中会表现出轨道-姿态-结构-热耦合效应。因此，提出了一种使用梯度不足的绝对节点坐标公式梁单元的新热结构耦合建模方法。与之前的方法相比，同时考虑了轴向和周向热传导。采用温度场三次插值代替线性插值，获得统一的网格温度-位移描述。对重力和重力梯度进行了建模，并考虑了姿态运动和结构变形对太阳辐射强度的影响。此外，基于欧拉-伯努利梁理论，提出了三种准静态热结构耦合模型。基于准静态模型，推导了有效预测梁在空间中的热致振动的理论公式。研究了四个数值算例来验证所提出的模型，包括具有三个边界条件的热传导算例和热-结构耦合悬臂梁算例。基于所提出的公式，考虑重力梯度、太阳辐射、地球阴影和自阴影，研究了由刚体和大型柔性附件组成的多体系统的轨道-姿态-结构-热耦合动力学。