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首页> 外文期刊>JSME International Journal. Series A >Theoretical Development of Thermal Buckling Phenomenon of Thin-Walled Plate due to Moving Heat Source
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Theoretical Development of Thermal Buckling Phenomenon of Thin-Walled Plate due to Moving Heat Source

机译：热源移动引起的薄壁板热屈曲现象的理论发展

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This paper is concerned with theoretical treatment of thermal buckling of thin walled 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 thin walled 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-buckling behavior are examined through numerical calculations.
机译：本文涉及薄壁带材在局部分布的移动热源和纵向方向上均匀的拉伸应力作用下的热屈曲的理论处理。首先，假设热源的强度和速度随时间恒定，并且温度分布为一维，则将导热视为一维和准平稳问题。其次，利用冯·卡曼大挠度板理论，建立了薄壁板中的平衡方程和应变相容方程。并利用广义双傅立叶级数，推导出关于面内热应力函数和面外位移的非线性联立代数方程。然后用布伦特方法求解非线性联立方程为数值解。通过数值计算，研究了均匀拉伸应力，板高宽比和板厚，移动热源的速度和面积对屈曲开始温度和屈曲后行为的影响。

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