考虑摩阻效应的大行程滑移支座非线性耦合分析

发布时间：2018-06-04 09:14

本文选题：桥梁工程 + 几何非线性　；参考：《长安大学学报(自然科学版)》2017年02期

【摘要】：为解决大跨结构支座类构件在其接触面发生特大相对滑移情况下的边界非线性与结构整体几何非线性耦合效应分析问题,基于平面杆系结构有限元分析理论,提出适用于考虑动、静摩阻力的大行程滑移支座全过程受力及变形特性非线性解决方法。完善可精确考虑轴力、弯矩耦合效应的基于随动坐标系下总体拉格朗日列式(CR-TL)的全量梁柱理论,使其适用于一般结构大位移条件下的快速几何非线性分析;采用双单元模式建立滑移支座非线性计算模型,优化适合动、静摩擦因数的滑动-停止判别条件;利用动态单元法、动态刚臂单元法及修正的主从节点法考虑大行程滑移支座滑动模拟过程中的支座斜置现象;建立符合支座滑动全过程受力特性的梁柱理论计算模式,并提出与之相适应的求解非线性方程的变刚度法,以及适应多支座体系协同工作模式的内部折减系数法。研究结果表明:利用CR-TL全量梁柱理论进行大跨斜拉桥结构施工全过程分析时,在相同计算精度水平下,其计算效率可提高30%;当采用不同支座模拟方式时,完全滑动及带摩阻力滑动条件下的单支座与双支座刚架结构位移计算结果相差可达44%~55%;在车辆荷载作用下,大跨斜拉桥结构主梁纵向位移及索塔偏位差达到10cm级别,显著改变了结构的响应特征,提出的理论能够实现对同类工程问题的精细分析。
[Abstract]:In order to solve the problem of the coupling effect between boundary nonlinearity and geometric nonlinearity of long-span structural support members in the case of extraordinarily large relative slippage of their contact surfaces, the finite element analysis theory of plane bar structure is based on the theory of finite element analysis. A nonlinear solution for the whole process of load and deformation characteristics of large stroke sliding bearing is proposed, which is suitable for consideration of dynamic and static friction. The complete Liang Zhu theory based on the total Lagrangian series CR-TL in the following coordinate system can be considered accurately and the coupling effect of bending moment can be considered accurately, which makes it suitable for the fast geometric nonlinear analysis of general structures with large displacement. The nonlinear calculation model of sliding bearing is established by using the two-element model, and the sliding stop discriminant condition suitable for the dynamic and static friction coefficient is optimized, and the dynamic element method is used to determine the stability of the sliding bearing. The dynamic rigid-arm element method and the modified master-slave node method take into account the oblique phenomenon of the bearing in the simulation process of the large-stroke sliding bearing, and establish the Liang Zhu theoretical calculation model, which accords with the mechanical characteristics of the whole sliding process of the bearing. The variable stiffness method for solving nonlinear equations and the internal reduction coefficient method for cooperative working mode of multi-support system are proposed. The results show that the calculation efficiency can be improved by 30% under the same precision level when the whole construction process of the long-span cable-stayed bridge is analyzed by using the CR-TL total Liang Zhu theory, and when different bearing simulation methods are adopted, Under the condition of complete sliding and sliding with friction resistance, the difference between the displacement calculation results of single support and double support rigid frame structure can reach 44% and 55%. Under the action of vehicle load, the longitudinal displacement of the main beam and the deviation of cable tower of long span cable-stayed bridge can reach 10cm grade. The response characteristics of the structure are changed significantly, and the theory presented can realize the fine analysis of similar engineering problems.
【作者单位】：长沙理工大学桥梁工程湖南省高校重点实验室;长沙理工大学土木与建筑学院;
【基金】：国家自然科学基金项目(51678070,51678068) 桥梁工程湖南省高校重点实验室开放基金项目(13KA03) 国家重点基础研究发展计划(“九七三”计划)项目(2015CB 057706) 湖南省教育厅科研项目(10K006)
【分类号】：U441

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