分阶段成形杆系结构几何非线性平衡方程

发布时间：2018-06-23 06:34

本文选题：平面杆单元 + 分阶段成形　；参考：《桥梁建设》2014年02期

【摘要】：为探讨几何非线性条件下分阶段成形结构最终状态的确定因素,以平面杆单元为对象进行分析。考虑几何非线性效应,定义单元零应力时的几何外形为其无应力状态量,采用最小势能原理建立局部坐标系和整体坐标系下,分阶段成形杆系结构不考虑其成形过程的力学平衡方程,获得结构最终状态与构件单元无应力状态量之间的关系。利用平衡方程,可直接计算分阶段成形结构最终状态的内力和位移,而无需逐阶段累加。通过平衡方程和算例证明:分阶段成形的杆系结构,即使在考虑结构几何非线性效应的前提下,只要最终状态构件单元的无应力状态量确定,则最终状态结构的内力和位移与结构的成形过程无关。
[Abstract]:In order to discuss the determinant factors of the final state of the stage-forming structure under the condition of geometric nonlinearity, the plane bar element is taken as the object of analysis. Considering the geometric nonlinear effect, the geometric shape of the element with zero stress is defined as its stress-free state, and the local coordinate system and the global coordinate system are established by using the principle of minimum potential energy. The relationship between the final state of the structure and the stress-free state of the member element is obtained by taking the mechanical equilibrium equation of the forming process into account. By using the equilibrium equation, the internal force and displacement of the final state of the structure can be directly calculated, without the need of gradual accumulation. It is proved by equilibrium equation and numerical example that, even if the geometric nonlinear effect of the structure is considered, the stress free state of the member element in the final state can be determined only if the non-stress state of the member element in the final state is determined. The internal force and displacement of the final state structure are independent of the forming process of the structure.
【作者单位】：西南交通大学土木工程学院;中铁大桥勘测设计院集团有限公司;中铁大桥局集团有限公司;
【基金】：国家科技支撑计划(2012BAG05B02)~~
【分类号】：U441

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