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| Transfer matrix method of in-plane eigenvalues during cantilever construction of arch bridge |
| Received:January 01, 2021 Revised:February 19, 2021 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20210101002 |
| KeyWord:cable-arch model transfer matrix method free vibration frequency finite element method |
| Author | Institution |
| 康厚军 |
湖南大学 土木工程学院, 长沙 ;广西大学 土木建筑工程学院, 南宁 |
| 朱国敬 |
湖南大学 土木工程学院, 长沙 |
| 苏潇阳 |
湖南大学 土木工程学院, 长沙 |
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| Abstract: |
| The transfer matrix method is used to solve the in-plane eigenvalue problem during the cantilever construction of arch bridges,and an evaluation method for solving in-plane vertical bending stiffness during construction of this type of bridge is established.Firstly,the cables and arches are regarded respectively as tensioned strings with no sag and Euler Bernoulli beams,and the total transfer matrix of the system is derived based on the basic theory of the transfer matrix method,and then the frequencies and modes of the system are calculated by considering the eigenvalue equation of the system combining the boundary conditions of the arch and the cables and the displacement of the cable-arch nodes.Meanwhile,the finite element analysis software ANSYS 15.0 was used to establish the finite element model of an arch bridge in the closed state and obtain the frequencies and modes solution.The comparison of results of the proposed method in this paper and the finite element method shows the correctness of the present method and model in this paper.Then,the above-mentioned theoretical method and finite element method are applied to analyze and compare the frequencies and modes of the half-span model before the arch bridge is closed.The consistent results of the two method further illustrate the correctness of the method and model in this paper.Finally,the modulus of elasticity and the initial force of the cables,the radius of the arch bridge and other parameters are selected as factors that affect the natural frequencies of the structure.A systematic parametric analysis of the first six-order frequencies of the model is carried out,and the influence principle of the design parameters of the arch bridge and of the cables in the closed state on the dynamic performance of the structure is obtained,and the corresponding improvement measures for the actual project are given. |
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