Abstract
This study is concerned with theoretical development for thermally induced vibration problem of an inhomogeneous beam. We suppose that thermal and mechanical material properties in beam are given as power function in term of transverse coordinate z. Firstly, we have developed one-dimensional transient heat conduction problem of an inhomogeneous beam due to cyclic heat supply. Then, we have developed thermally induced vibration problem of an inhomogeneous beam clamped at one edge and free at opposite edge. Next, we have carried out numerical calculations and have discussed about effects of both cyclic temperature fluctuation and inhomogeneity of material properties on thermal displacements, thermal stresses and resonance characteristics.
