基于总势能完备性的钢构件弯扭屈曲设计理论研究

项目名称： 基于总势能完备性的钢构件弯扭屈曲设计理论研究

项目编号： No.51308272

项目类型： 青年科学基金项目

立项/批准年度： 2014

项目学科： 建筑科学

项目作者： 刘占科

作者单位： 兰州大学

项目金额： 25万元

中文摘要： 钢构件弯扭屈曲具有突发性及灾难性，会引起建筑物整体倒塌并造成人民生命、财产的巨大损失；因此各国设计标准均以大量篇幅指导钢构件弯扭屈曲的设计。然而由于弯扭屈曲问题的复杂性和研究对象的多样性，理论成果和设计标准均处于争议状态，导致理论难以统一和设计标准无法协调。本项目拟采用理论推导、试验研究和有限元模拟相结合的方法研究钢构件弯扭屈曲的设计理论。本项目首先提出了总势能完备性的概念和研究钢构件弯扭屈曲的新能量法，并采用新能量法推导完备的钢构件弯扭屈曲总势能方程和平衡微分方程；其次分别推导钢梁和钢压弯构件弯扭屈曲荷载的通用计算公式和重要荷载类型、典型边界条件下屈曲荷载通用设计公式中各系数的数值；最后通过试验研究和有限元模拟验证理论分析的正确性，为统一和完善我国钢结构相关设计标准中弯扭屈曲设计理论提供可靠依据。本项目在丰富结构分析方法、统一弯扭屈曲理论研究、协调设计标准上具有重要的科学价值。

中文关键词： 总势能完备性；钢构件；弯扭屈曲；复合荷载；设计方法

英文摘要： Flexural torsional buckling (FTB) is a sudden and catastrophic failure mode of steel members, which may caused the whole building collapsed and caused great losses to people's lives and property, therefore the design standards all of the world are devoted a lot of provisions for guiding the design of FTB. However, because of the complexity of the problem and the diversity of the research object, the therotical researches on FTB and the provisions of design standards are still in dispute,which leading to the unify of the theory difficultly and the design standards can not be reconciled. The project intends to research on flexural torsional buckling of steel members by combination of theoretical analysis, experimental study and finite element simulation. Firstly, the concept of completeness on total potential energy and a new energy method are proposed, and the complete total potential energy and the correspond equilibrium differential equations are derivated. Secondly, the design theory of the critical load of steel beams and steel beam-columns are derivated, and the coefficients values of various load type and of typical boundary conditions are proposed. Finally, the correctness of the design theory will verify by experimental study and finite element simulation, and a reliable basis will be provided for amendin

英文关键词： completeness of potential energy；steel members；flexural-torsional buckling；combined loads；design approach