几何非线性与徐变共同作用下三维杆系结构有限元分析

发布时间：2019-04-26 14:16

【摘要】：几何非线性与徐变均为大跨或高耸柔性混凝土结构分析中必须考虑的重要因素,而现有计算方法通常只单独考虑,而未考虑两者的共同作用。基于几何非线性分析的随转坐标法和徐变效应分析的初应变法,该文首先建立三维梁元在随转坐标系下计入初应变效应的几何非线性平衡方程;再利用静力平衡原则,导出三维梁元在结构坐标系下同时考虑几何非线性与徐变的平衡方程,提供了详细的分析流程,编制了相应的非线性计算程序。以某大跨径混合梁斜拉桥混凝土桥塔为例,进行了考虑混凝土徐变效应的几何非线性分析;结果表明,无论是几何非线性还是徐变,单独考虑时得到的内力和位移结果均小于考虑两者共同作用得到的结果,因此在大跨或高耸柔性混凝土结构分析中考虑几何非线性与徐变共同作用是很有必要的。
[Abstract]:Both geometric nonlinearity and creep are important factors that must be considered in the analysis of long-span or high-rise flexible concrete structures, but the existing calculation methods are usually only considered separately, but the interaction between them is not taken into account. Based on the following coordinate method of geometric nonlinear analysis and the initial strain method of creep effect analysis, the geometric nonlinear equilibrium equation of three-dimensional beam element considering the initial strain effect in the rotating coordinate system is established in this paper. Based on the static equilibrium principle, the equilibrium equation of three-dimensional beam element considering geometric nonlinearity and creep in the structural coordinate system is derived. The detailed analysis flow is provided, and the corresponding nonlinear calculation program is compiled. Taking the concrete tower of a long-span mixed-beam cable-stayed bridge as an example, the geometric nonlinear analysis considering the creep effect of concrete is carried out. The results show that the results of internal force and displacement when considering geometric nonlinearity or creep are smaller than that of considering the interaction between them. Therefore, it is necessary to consider the interaction of geometric nonlinearity and creep in the analysis of long-span or high-rise flexible concrete structures.
【作者单位】：长沙理工大学土木与建筑工程学院;广州大学工程抗震研究中心;湖南大学土木工程学院;
【基金】：国家重点基础研究发展计划项目(2011CB013606) 中国博士后基金项目(2014M562154) 湖南省教育厅青年基金项目(14B008) 长沙理工大学土木工程重点学科基金项目(15ZDXK03)
【分类号】：TU323

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