张学军, 许金余, 赵 靖. 关于薄壁构件总势能方程的理论探讨[J]. 工程力学, 2009, 26(6): 58-064.
引用本文: 张学军, 许金余, 赵 靖. 关于薄壁构件总势能方程的理论探讨[J]. 工程力学, 2009, 26(6): 58-064.
ZHANG Xue-jun, XU Jin-yu, . A DISCUSSION ON THE TOTAL POTENTIAL ENERGY EQUATION OF THIN-WALLED MEMBERS[J]. Engineering Mechanics, 2009, 26(6): 58-064.
Citation: ZHANG Xue-jun, XU Jin-yu, . A DISCUSSION ON THE TOTAL POTENTIAL ENERGY EQUATION OF THIN-WALLED MEMBERS[J]. Engineering Mechanics, 2009, 26(6): 58-064.

关于薄壁构件总势能方程的理论探讨

A DISCUSSION ON THE TOTAL POTENTIAL ENERGY EQUATION OF THIN-WALLED MEMBERS

  • 摘要: 薄壁构件的总势能方程在结构稳定分析和工程设计中具有十分重要的地位和意义,是进行结构稳定计算的基础和钢结构设计规范中制定相关设计公式的依据。多年来薄壁构件的总势能方程一直存在着多种形式,一些设计规范依据的总势能方程也不尽相同。该文采用典型的薄壁构件纵向位移表达式,从理性力学的角度,对薄壁构件的总势能方程进行了严格的推导,得到了应用较多、具有代表性的几种表达式,对产生总势能方程不同形式的原因进行了理论上的剖析,该文认为主要是推导者所采用的基本假定不同、采用的构件纵向位移表达式不同、推导方法上的差异以及工程梁理论本身不完善所造成的;理论的分析证明了经典理论下薄壁构件的总势能方程是最为准确合理的表达式。

     

    Abstract: As a main indicator of structural stability, the total potential energy equation for thin-walled members is widely referred to in academeic research and practical design of steel structures. The total potential energy equation has many forms adopted in different codes. In the context of rational mechanics, this paper adopts the expression for longitudinal displacement, thus to compare several typical forms of the total potential energy equation. It is found that the difference in forms is mainly due to fundamental assumptions, the calculation of longitudinal displacement, the derivation method, and the imperfection of engineering beam theory. Among them, the classical form of the total potential energy equation for thin-walled members is the most accurate and rational.

     

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