Abstract
According to most countries’ norms, and to find the effect of the bridge collision the equivalent static method was designed for bridge-ship collision, ignoring the dynamic effects of shocks. It is sharply different from actual situation. So based on the theory of Winkler foundation, shearing strain theory of Timoshenko and potential energy variation functional principle of Hamilton, the simulation models of bridge piers was built considering the pile–soil interaction. Lateral transient vibration equation of bridge piers was concluded. Based on the theory of integral transform, the differential equation of the collision system and the boundary conditions were transformed with Laplace transformation; the analytical solution of the stress wave in frequency domain was concluded. And then the inversion of solution in frequency domain was carried out using Matlab based on the Crump inverse transformation. Finally the dynamic response law of displacement, normal stress and the shear stress of bridge piers were obtained.
Highlights
Bridge-ship collision has not formed a complete theoretical system mechanics until now
Most of national norms are based on the equivalent static force method when considering the collision [1, 2], which has obviously overlooked the dynamic effect of collides, and sharply differs from the actual situation [3]
The actual bridge-ship collision is not as simple as the quality-speed hypothesis in classical mechanics; it is affected by the part energy loss and the retardation of water [6], and influenced by pile-soil interaction. This pile-soil interaction is taking into account, and pile foundation and piers are considered as Timoshenko members, pile-soil interaction comply with the Winkler elastic foundation, the elasticity and damping coefficients of soil are used to simulate the interaction between pile and soil, combined with engineering practice, the displacement, normal stress and dynamic response of shear stress of pile foundation and pier are analyzed
Summary
Bridge-ship collision has not formed a complete theoretical system mechanics until now. The actual bridge-ship collision is not as simple as the quality-speed hypothesis in classical mechanics; it is affected by the part energy loss and the retardation of water [6], and influenced by pile-soil interaction. This pile-soil interaction is taking into account, and pile foundation and piers are considered as Timoshenko members, pile-soil interaction comply with the Winkler elastic foundation, the elasticity and damping coefficients of soil are used to simulate the interaction between pile and soil, combined with engineering practice, the displacement, normal stress and dynamic response of shear stress of pile foundation and pier are analyzed. In this paper it will be used different numerical methods and the mathematically approach to modify the normal stress and the shear stress of bridge piers calculation with new methods
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