Coupled, Thermo-elastic, Large Amplitude Vibration of Bi-material Beams

The main goal of this work is to develop a theoretical and numerical approach, to study the geometrical nonlinear vibration of bi-material beams under the combined action of mechanical and thermal loads. The geometrically nonlinear version of the Timoshenko beam theory is used to describe the theoretical model of the problem. Starting from the geometrical, constitutive and equilibrium equations of each layer the governing equations of the bi-material beam are derived. The beam is subjected to heat flux and dynamic mechanical loading. The influence of the elevated temperature or the heat propagation along the beam length and thickness on the response of the beam was studied.