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Earthquakes and Structures Volume 3, Number 3, June-August 2012 , pages 271-295 DOI: https://doi.org/10.12989/eas.2012.3.3.271 |
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Dynamic analysis of a cable-stayed bridge using continuous formulation of 1-D linear member |
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Chih-Peng Yu and Chia-Chi Cheng
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| Abstract | ||
| This paper presents the solution scheme of using the continuous formulation of 1-D linear member for the dynamic analysis of structures consisting of axially loaded members. The context describes specific applications of such scheme to the verification of experimental data obtained from field test of bridges carried out by a microwave interferometer system and velocimeters. Attention is focused on analysis outlines that may be applicable to in-situ assessment for cable-stayed bridges. The derivation of the dynamic stiffness matrix of a prismatic member with distributed properties is briefly reviewed. A back calculation formula using frequencies of two arbitrary modes of vibration is next proposed to compute the tension force in cables. Derivation of the proposed formula is based on the formulation of an axially loaded flexural member. The applications of the formulation and the proposed formula are illustrated with a series of realistic examples. | ||
| Key Words | ||
| dynamic stiffness matrix; axially loaded member; cable force; cable-stayed bridge; transfer function | ||
| Address | ||
| Chih-Peng Yu and Chia-Chi Cheng: Department of Construction Engineering, Chaoyang University of Technology, 168 Gifeng E. Rd., Wufeng, Taiwan | ||