Dynamics Analysis of Multibody Systems Based on Flexible Thermal Coupling Solid Elements

In high-precision fields such as automotive and aerospace, solid elements are commonly used to verify the dynamic response of key components, which can comprehensively simulate three-dimensional stress, deformation, and temperature field changes. In this study, a new thermo-dynamic coupled solid element is proposed, which is suitable for large deformations based on the absolute nodal coordinate formulation (ANCF). In ANCF, the position and gradient vectors, as generalized coordinates, are used to describe displacement fields. Similarly, the temperature and temperature gradient are used as generalized coordinates for describing the temperature field. The physical meaning of the temperature gradient is the change in temperature relative to the coordinates of matter. Therefore, the temperature field and displacement field can be described within the same isoparametric element. Based on the unified element grid to establish dynamic equations and heat transfer equations, it can describe the bidirectional coupling effect of two physical fields. The generalized-α method simultaneously solves the dynamic and heat transfer equations within one time step. For thermally induced vibrations of simply supported beams, the maximum absolute error of dimensionless displacement at test points is less than 0.001, and temperature error is less than 0.5 K. The remaining two examples demonstrate that the proposed method can be used for the dynamic response calculation of thermally coupled multibody systems.