3次元弾性論による円形厚板の非定常熱曲げ解析

抄録

In this paper, the analysis of transient thermal bending is carried out by the three-dimensional theory of elasticity in cylindrical coordinates. Boundary conditions are simply supported along the edges and free at the top and the bottom faces of the circular plate. Loading conditions are partially sectorial thermoload of axially asymmetric distribution for z axis over the top face of the circular plate. The analysis is separated into a temperature field and a stress field. The temperature field is assumed to be a transient state and is rigorously deduced by a three-dimensional theory of heat transfer. Additional solutions are used to deal with initial terms in Fourier series which are required to satisfy the boundary conditions.