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为研究钢构件弯扭屈曲总势能方程的合理性,该文通过分析推导总势能方程的两个方法——应力法和应变法的基本过程,揭示了应变表达式和位移模式是影响总势能方程推导结果的两个关键因素,建立了这两个关键因素合理性的判定准则,并验证了准则的正确性。依据该文建立的准则,对两种典型位移模式和三种典型总势能方程进行了判定。结果表明:符拉索夫位移模式较Trahair位移模式更为合理,吕烈武等学者的总势能方程较Bleich的总势能方程和Trahair的总势能方程更为合理。最后,建议了推导钢梁临界弯矩Mcr设计公式应采用的总势能方程。
In order to study the rationality of the total potential energy equation of the flexural-torsional buckling of steel components, this paper analyzes the basic process of deriving the total potential energy equations, the stress method and the strain method, and reveals that the strain and displacement modes are the factors affecting the total potential energy equation The two key factors of the result are deduced, the criteria of judging the rationality of these two key factors are established, and the correctness of the criterion is verified. Based on the criteria established in this paper, two typical displacement modes and three typical total potential energy equations are determined. The results show that the displacement mode of the Vlasov is more reasonable than that of the Trahair displacement mode. The total potential energy equation of Lu Lvwu et al. Is more reasonable than the total potential energy equation of Bleich and the total potential energy equation of Trahair. Finally, it is proposed to derive the total potential energy equation to be used in the formula for calculating the critical moment Mcr of steel beams.