Exact Solutions of Dynamic Characteristics for Curved Beams with Pinned-Pinned Ends

Abstract:

Based on the theory of virtual work and principle of thermal elasticity, exact solutions for in-plane displacements of curved beams with pinned-pinned ends are derived explicitly. In the case of infinite limit of radius, these equations coincide with that of the straight beams. Compared with the results of FEM, the analytical solutions by the proposed formulae are accurate. Basing on the stiffness matrix of statically indeterminate curved beams at three freedom direction, the dynamic characteristics are derived explicitly. The analytic method of dynamic characteristics for curved beam performed in this paper would provide a scientific base for further study and design of the curved bridges.

• Periodical: Applied Mechanics and Materials (Volumes 405-408)
• Pages: 702-705
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.405-408.702
• Online since: September 2013
• Authors: Xiao Fei Li, Wei Ming Yan, Hao Xiang He
• Keywords: Curved Beam, Dynamic Characteristic, Exact Solution, Pinned-Pinned Ends

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