A High-Accurate Time Integration Method for Solving Structural Vibration Responses. (2nd November 2022)

• Record Type: Journal Article
• Authors: Lei, Xiangsheng; Wang, Yanfeng; Wang, Xinghua; Lin, Gang; Qin, Xinyan
• Other Names: Gallardo Alvarado Jaime Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2022(2022)
• Publication Date: 2022-11-02
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2022/3563393
• Languages: English
• ISSNs: 1024-123X

Abstract

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.