Vibrations of columns in the thermal postbuckling state accounting for temperature effect on material properties

IF 2.6 3区 工程技术 Q2 MECHANICS
V. Birman
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引用次数: 0

Abstract

Abstract The article is concerned with natural frequencies of thermally buckled columns. The analysis accounts for the effect of temperature on the modulus of elasticity and the coefficient of thermal expansion of the material of the column. The columns are simply supported and two cases of axial boundary conditions include an elastic axial constraint and prescribed axial displacements. It is demonstrated that neglecting the effect of temperature on material properties leads to a significant quantitative mistake at low temperatures and a qualitative mistake at high temperatures. In flexible columns with axially constrained boundaries subject to a prescribed thermal loading the frequencies increase with an increasing temperature, but this trend is reversed at high temperatures due to the sharp drop of the modulus of elasticity. In the contrary, in the columns subject to a prescribed axial displacement in addition to thermal loading, frequencies remain relatively stable and subsequently decrease at high temperatures. It is demonstrated that the frequencies of columns with a low or moderate slenderness ratio are affected by the axial constraint to a much larger degree than those in more flexible columns.
考虑温度对材料性能影响的热后屈曲状态下柱的振动
摘要本文研究了热屈曲柱的固有频率。分析说明了温度对柱材料的弹性模量和热膨胀系数的影响。柱是简单支撑的,轴向边界条件的两种情况包括弹性轴向约束和规定的轴向位移。研究表明,忽视温度对材料性能的影响,在低温下会导致显著的定量错误,在高温下会导致定性错误。在承受规定热载荷的具有轴向约束边界的柔性柱中,频率随着温度的升高而增加,但由于弹性模量的急剧下降,这种趋势在高温下发生了逆转。相反,在除了热载荷之外还受到规定轴向位移的柱中,频率保持相对稳定,并随后在高温下降低。研究表明,低或中等长细比柱的频率受轴向约束的影响程度远大于柔性柱的频率。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Journal of Thermal Stresses
Journal of Thermal Stresses 工程技术-力学
CiteScore
5.20
自引率
7.10%
发文量
58
审稿时长
3 months
期刊介绍: The first international journal devoted exclusively to the subject, Journal of Thermal Stresses publishes refereed articles on the theoretical and industrial applications of thermal stresses. Intended as a forum for those engaged in analytic as well as experimental research, this monthly journal includes papers on mathematical and practical applications. Emphasis is placed on new developments in thermoelasticity, thermoplasticity, and theory and applications of thermal stresses. Papers on experimental methods and on numerical methods, including finite element methods, are also published.
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