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

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

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.

Suggested Citation

  • Xiangsheng Lei & Yanfeng Wang & Xinghua Wang & Gang Lin & Xinyan Qin & Jaime Gallardo Alvarado, 2022. "A High-Accurate Time Integration Method for Solving Structural Vibration Responses," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-8, November.
    • Handle: RePEc:hin:jnlmpe:3563393
    DOI: 10.1155/2022/3563393
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