Theoretical Development of Thermal Buckling Phenomenon of Thin-Walled Plate due to Moving Heat Source

Abstract

This paper is concerned with theoretical treatment of thermal buckling of thinwalled strip subjected to partially distributed moving heat source and uniform tensile stress in the longitudinal direction. First, heat conduction is treated as one-dimensional and quasi-stationary problem assuming that intensity and velocity of moving heat source are constant with time, and that temperature distribution is one-dimensional. Next, equation of equilibrium and equation of compatibility of strain in thinwalled plate are formulated by making use of the von Karman large deflection plate theory. And making use of the generalized double Fourier series, nonlinear simultaneous algebraic equations are derived with respect to in-plane thermal stress function and out-of-plane displacement. Then nonlinear simultaneous equations are solved by the Brent method as numerical solution. Effects of uniform tensile stress, aspect ratio and thickness of plate, velocity and area of moving heat source, upon buckling start temperature and post-bucking behavior are examined through numerical calculations.