钢构件弯扭屈曲总势能方程的合理性分析  

AN ANALYSIS ON RATIONALIZATION OF TOTAL POTENTIAL ENERGY EQUATION OF STEEL MEMBERS WITH FLEXURAL-TORSIONAL BUCKLING

作　　者：刘占科[1,2] 周绪红[1,2] 何子奇[2] 

机构地区：[1]西部灾害与环境力学教育部重点实验室,甘肃兰州730000 [2]兰州大学土木工程与力学学院,甘肃兰州730000

出　　处：《工程力学》2013年第3期82-88,共7页Engineering Mechanics

基　　金：国家自然科学基金项目(50978128);兰州大学中央高校基本科研业务费专项资金项目(lzujbky-2009-15);兰州大学交叉学科青年创新研究基金项目(LZUJC200903);甘肃省科技计划项目(1107RJYA078)

摘　　要：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 rationalization of the total potential energy equation of steel members with flexural-torsional buckling, the deriving procedure of stress method and strain method is analyzed in this paper. It is tbund that the expressions of strains and displacement mode are the two primary factors that affect the results, then two criteria on the rationalization of the two primary factors are established, and the correctness of the two criteria is verified. By using the two criteria, two typical displacement modes and three typical total potential energy equations are judged. The conclusion showed that Vlasov＇s displacement mode is more reasonable than Trahair＇s, and Lfi＇s total potential energy equation is more rational than Bleich＇s and Trahair＇s. Finally, a total potential energy equation which should be adopted for deriving the design formula of critical moment Mcr is proposed.

关 键 词：钢构件 总势能方程 合理性 应变表达式 位移模式 

分 类 号：TU392.3[建筑科学—结构工程]