Validation of similitude laws for prestressed cable-strut structures

被引：0
|
作者：
Ma S. [1 ]
Yuan X. [1 ]
Yang L. [1 ]
机构：
[1] College of Civil Engineering and Architecture, Zhejiang University, Hangzhou
来源：
Jianzhu Jiegou Xuebao/Journal of Building Structures | 2021年 / 42卷 / 07期
关键词：
Dimensional analysis; Equation analysis; Geometric nonlinearity; Prestressed cable-strut structure; Similarity law;
D O I：
10.14006/j.jzjgxb.2019.0582
中图分类号：
学科分类号：
摘要：
The static and dynamic properties of large prestressed cable-strut structures can be measured by the experiment of scale models. The design of scale models, external force and boundary conditions based on similitude laws are vital for the accuracy of the experiment. In this paper, the static and dynamic similitude laws of prestressed cable-strut structures were studied. The nonlinear static similitude laws were derived by equation analysis. The similarity of undamped natural frequency and mode shapes were studied by analyzing the dynamic equations. Similitude laws of dynamical time-history analysis of prestressed cable-strut structures were studied by dimensional analysis. Two numerical examples were given to demonstrate the accuracy of the similitude laws. The results show that the nonlinear static similarity of structures are guaranteed by the similarity of member length, cross-sectional area, external force and internal force, Young's modulus, as well as the equality of the similarity coefficients among external force, axial stiffness and internal force. If the similarity of Young's modulus, density, member length, cross-sectional area and internal force exists and the similarity coefficients of axial stiffness and internal force are equal, the undamped mode shape is the same and the natural frequency is similar. To guarantee the similarity in dynamical time-history analysis, the similarity in time, member length, cross-sectional area, external force, internal force, Young's modulus and boundary condition should be considered. © 2021, Editorial Office of Journal of Building Structures. All right reserved.
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页码：95 / 103
页数：8
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