Abstract
Utilizing the traditional Morison equation to calculate wave forces in cylindrical structures is cumbersome, and there are currently few studies regarding the high-order nonlinear Morison equation. In this study, the traditional Morison equation is simplified, and the simplified second-order nonlinear Morison equation based on the Stokes second-order wave is derived. The correctness of the simplified Morison equation is verified, and the use of the stability point method to solve the second-order nonlinear wave force is proposed. Based on the simplified second-order nonlinear Morison equation, the nonlinear dynamics of bridge structures under the combined loadings of earthquakes and second-order nonlinear waves are investigated. The results indicate that the displacement and stress responses of the second-order nonlinear wave to the bridge structure are significantly greater than those of the linear wave. When under second-order nonlinear waves and earthquake loadings combined within bridge structures, earthquakes will significantly affect these bridge structures. The formula for the breaking wave force based on second-order nonlinear waves is proposed. The breaking wave force based on second-order nonlinear waves has a large load on the bridge structures, and it will induce a weak high-frequency effect. When under combined the second-order nonlinear breaking wave and earthquake loadings on the bridge structure, earthquakes will still play a major role.
Published Version
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