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预应力结构非线性分析的索单元理论
引用本文:张其林. 预应力结构非线性分析的索单元理论[J]. 工程力学, 1993, 10(4): 93-101.
作者姓名:张其林
作者单位:同济大学
摘    要:本文将预应力结构中的张拉索处理为具有两个铰接节点的索单元,导出了索单元中总分布荷载的表达式和索的大位移增量刚度矩阵以及索元的一致质量矩阵,基于虚功原理建立了索元的静动力非线性平衡方程。应用本文理论可以分析拉索预应力结构的静力非线性问题、基本动力特性及非线性动力反应过程,可以跟踪不同的预应力张拉次序和过程。算例表明:本文方法具有较高的计算精度。

关 键 词:预应力结构  索单元  非线性理论
收稿时间:1992-10-01
修稿时间:1993-02-01

A CABLE ELEMNT THEORY FOR NONLINEAR ANALYSIS OF PRESTRESSED STRUCTURES
Zhang Qilin. A CABLE ELEMNT THEORY FOR NONLINEAR ANALYSIS OF PRESTRESSED STRUCTURES[J]. Engineering Mechanics, 1993, 10(4): 93-101.
Authors:Zhang Qilin
Affiliation:Tongji University
Abstract:In this paper ths cables in prestressed structures are treated as two-node elements. The expression of the total distributed load on cables is deduced, the incremental stiffness matrix of cable elements is presented, and a consistent mass matix of cable elements is derived. The static and dynamic equilibrium equations of prestressed structures are established and the tracing stratage for whole prestres-sing procedures of structures is provided. Some numerical examples are given and the results show that the cable element theory of this paper has excellent accuracy.
Keywords:prestressed structures   Cable element   Nonlinear theory  
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