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综述了约束薄壁钢杆件的畸变机理。阐述了受压和受弯下薄壁杆件畸变的基本特性,介绍并讨论了普遍采用的运动学假定。基于这些假定,提出了建立畸变位移场的简单程序,给出了两个约束杆件算例,建立了它们的畸变位移场。以工字钢为算例,说明了具有单自由度畸变位移场的对称杆件的情况;以Z字钢为算例,说明了具有双自由度畸变位移场的非对称杆件的情况。基于能量方程,推导出仅适用于薄壁杆件屈曲分析的平衡方程。对于两个算例,均使用畸变位移场以获得畸变分析方程。最后,确定了屈曲压力和弯矩,并借助大量有限元分析数据对其进行验证。
The mechanism of distortion of thin-walled steel bar is summarized. The basic characteristics of the thin-walled members under pressure and bending are expounded and the commonly used kinematic assumptions are introduced and discussed. Based on these assumptions, a simple procedure for establishing a distorted displacement field is proposed. Two examples of constrained members are given and their distorted displacement fields are established. Taking the I-beam as an example, the case of a symmetric member with a single-degree-of-freedom displacement field is illustrated. By using the Z-shaped steel as an example, an asymmetric member with a two-degree-of-freedom distortion displacement field is illustrated. Based on the energy equation, the equilibrium equation which is only applicable to the buckling analysis of thin-walled members is deduced. For both cases, a distorted displacement field is used to obtain the distortion analysis equation. Finally, buckling pressure and bending moment are determined and validated with a large number of finite element analysis data.