A High-Accurate Time Integration Method for Solving Structural Vibration Responses

Xiangsheng Lei, Yanfeng Wang, Xinghua Wang, Gang Lin, Xinyan Qin and Jaime Gallardo Alvarado

Mathematical Problems in Engineering, 2022, vol. 2022, 1-8

Abstract: A time integration method for the equations of motion is developed based on the Gauss implicit Runge-Kutta method to high-accurate solving the responses in structural vibration. The present method possesses the features of unconditional stability and self-starting and can achieve fourth-order accuracy in displacement, velocity, and acceleration simultaneously. The algorithm is a matrix form and no need to iterate in the calculation. The convergent accuracy is verified by a numerical example, and the effectiveness is also verified by solving the dynamic responses of a vibration isolation system and the vibration responses of a pylon structure with cyclic loads and earthquake loads.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:3563393

DOI: 10.1155/2022/3563393

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