Temperature Field in Simply Supported Laminated Beam

摘要

According to the two-dimensional thermal theory, the temperature distribution in a simply supported laminated beam is studied. Firstly, the temperature distribution in a single-layer simply supported beam is analytically derived. Then, based on the continuity condition of the temperature and heat flux between the connected layers, the temperature and heat flux relations between the lowest layer and the top layer of the beam are recurrently obtained. Finally, the unknown coefficients are determined by the upper and lower surface conditions of the laminated beam. The temperature in the beam is given by substituting the unknown coefficients back to the recurrent formulae.