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| Transfer matrix method for studying the in-plane stability of arch and cable-arch |
| Received:January 23, 2019 Revised:March 28, 2019 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20190123001 |
| KeyWord:transfer matrix method concentrated load variable cross-section cable-arch structure stability |
| Author | Institution |
| 刘利 |
湖南大学 土木工程学院, 长沙 |
| 康厚军 |
湖南大学 土木工程学院, 长沙 ;湖南大学 工程结构损伤诊断湖南省重点实验室, 长沙 |
| 苏潇阳 |
湖南大学 土木工程学院, 长沙 |
| 丛云跃 |
湖南大学 土木工程学院, 长沙 |
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| Abstract: |
| In order to explore a new way to solve the issue of in-plane stability of an arch bridge,the transfer matrix method is used to solve the in-plane buckling differential equation of in-plane buckling of a circular arch under a radial uniform load.Then,the characteristic equation of the circular arch considering its boundary conditions to obtain its critical load is derived.At the same time,by combining the force method and the relationship between the load concentrated on the circular arch and its axial force,the transfer matrix method is extended to analyze the in-plane stability of the variable cross-section circular arch and the cable-arch subjected to a concentrated load.Compared with the results obtained by ANSYS and the proposed method shows good agreement,which verifies the theory and method.Finally,the effects of boundary conditions,central angles and moment of area on the in-plane stability of the circular arch under different types of load are studied.The results show that the in-plane stability of the cable-arch is better than that of the pure arch. |
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