Vibration analysis of a thermo-mechanically coupled large-scale welded wall based on an equivalent model

A vibration analysis method of a thermo-mechanically coupled large-scale welded wall is developed considering large-displacement. Firstly, the welded wall is theoretically normalized to an orthotropic thin plate, where the equivalent geometric and material parameters are derived in the light of the stress-function approach and the deformation compatibility conditions. Secondly, the equivalent heat conduction parameters are derived according to the heat transfer equation. Based on the partial differential equation of the heat conduction and the dynamic equilibrium equation of the thin plate, a thermo-mechanically coupled dynamic model of the equivalent orthotropic thin plate is established. Finally, numerical calculations are performed to discuss the influence of the various parameters on the thermo-mechanical responses adopting the Galerkin's method and the Runge-Kutta technique.