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A Numerical Method for Predicting Critical Behavior of Elasto-plastic Frame with Elements Obeying Deteriorating Stress-strain Relation

预测具有退化应力应变关系单元的弹塑性框架临界行为的数值方法

基本信息

批准号：
10650563
负责人：
MORISAKO Kiyotaka
金额：
$ 0.45万
依托单位：
KYOTO INSTITUTE OF TECHNOLOGY
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
1998
资助国家：
日本
起止时间：
1998 至 1999
项目状态：
已结题

项目摘要

In the beam-column FEM analysis of ultimate or critical behavior of elasto-plastic frames, the stiffness matrix consistent with the constitutive law must be generated. In such an analysis, local buckling of steel member and large deformation of concrete material will be estimated by elements which obey elastic-deteriorating plastic stress-strain model and which have an appropriate length. A conventional iterative procedure for generating consistent stiffness matrix of a frame model with elastic-deteriorating plastic elements frequently leads to a pitfall of cyclic process. An algorithm for generating consistent stiffness matrix has been presented for predicting the static equilibrium path of elastio-plastic frames by the head investigator. The algorithm utilizes an eigenvector of stiffness matrix of the comparison frame. In the numerical analyses of the buckling behaviors of bars and of the collapse behaviors of portal frames, the algorithm has been verified. These simulations demonstrate that the algorithm functions effectively for generating the consistent stiffness matrix and for sellecting the control path-parameter in the vicinity of critical point. However, the algorithm has not been utilized in analyzing the critical behavior of the frame with elements obeying deteriorating stress-strain relation. The effect of the similar strategy for generating consistent stiffness matrix in such case is confirmed in this study. The algorithm provides an apt selection of the control path-parameter for execution of numerical analysis.

在对弹塑性框架进行极限或临界性能的梁柱有限元分析时，必须生成符合本构关系的刚度矩阵。在这种分析中，钢构件的局部屈曲和混凝土材料的大变形将由服从弹性-退化塑性应力-应变模型并具有适当长度的单元来估计。用常规迭代法生成弹塑性退化单元框架模型的一致刚度矩阵时，容易陷入循环过程的陷阱。本文提出了一种计算弹塑性框架静力平衡路径的一致刚度矩阵的算法。该算法利用比较框架刚度矩阵的特征向量。在杆件失稳和门式刚架倒塌的数值分析中，对算法进行了验证。仿真结果表明，该算法能有效地生成协调刚度矩阵，并在临界点附近选择控制路径参数。然而，该算法还没有被用于分析的临界性能的单元服从恶化的应力-应变关系的框架。在这种情况下，类似的策略产生一致的刚度矩阵的效果在这项研究中得到证实。该算法提供了一个适当的选择控制路径参数的执行数值分析。