钢筋混凝土桥脚的几何和材料非线性分析

IF 0.7 4区 材料科学 Q4 MATERIALS SCIENCE, CHARACTERIZATION & TESTING
B. Hadj Aissa, H. Hammoum, M. S. Kachi, Y. Bouafia, K. Bouzelha, A. Boulebd
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引用次数: 0

摘要

为了解决钢筋混凝土(RC)人行天桥失效方面的安全问题,有必要了解基于极限分析原理的失效计算无法考虑的极限变形。在本研究中,我们开发了一种基于位移法的平面 RC 框架非线性分析方法。非线性从材料和几何两个方面进行考虑。将人行天桥离散化为连接两个节点的一维有限元,并逐步施加荷载,直至结构失效。对于结构的平衡状态,在每一步荷载增加时都采用迭代程序,根据连接外力增加和节点位移增加的刚度矩阵,采用连续替换法求解非线性系统。为了正确评估外部荷载作用下的位移和应力的重新分布,还考虑了裂缝间拉伸混凝土的影响。因此开发了一个自动计算程序。所开发的方法适用于在 Bordj Bouararidj(阿尔及利亚)建造的一座人行天桥的实际例子,其尺寸符合实际情况。与数学模型和 Abaqus© 软件的数值结果进行了比较,结果令人满意,并显示出很好的一致性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Geometric and Material Nonlinear Analysis of a RC Foot-Bridge

Geometric and Material Nonlinear Analysis of a RC Foot-Bridge

To deal with the safety problems with regard to the failure of reinforced concrete (RC) foot-bridge, it is necessary to know the ultimate deformations, that the failure calculation based on the principles of limit analysis does not allow taking into account. In this study, we develop a method of nonlinear analysis of plane RC frames based on the displacement method. Nonlinearity is considered under its two aspects, material and geometric. The foot-bridge is discretized into one-dimensional finite elements connecting two nodes and the loading is applied, step by step, until the structural failure. For the equilibrium state of the structure, an iterative procedure is used at each step of increase in loading where the nonlinear system is solved by using the method of successive substitutions based on the stiffness matrix connecting the increases of applied forces to the increases of nodal displacement. The influence of the tensile concrete between the cracks is taken into account in order to correctly assess the displacements under external loads and the redistribution of stresses. An automatic calculation program is thus developed. The developed method is applied to a practical example of a foot-bridge realized in Bordj Bouararidj (Algeria), whose dimensioning is realistic. The comparison of the numerical results obtained with the mathematical model and those obtained with Abaqus© software is satisfactory and shows a very good agreement.

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来源期刊
Strength of Materials
Strength of Materials MATERIALS SCIENCE, CHARACTERIZATION & TESTING-
CiteScore
1.20
自引率
14.30%
发文量
89
审稿时长
6-12 weeks
期刊介绍: Strength of Materials focuses on the strength of materials and structural components subjected to different types of force and thermal loadings, the limiting strength criteria of structures, and the theory of strength of structures. Consideration is given to actual operating conditions, problems of crack resistance and theories of failure, the theory of oscillations of real mechanical systems, and calculations of the stress-strain state of structural components.
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