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A Block Matrix-Based Precise Integration Algorithm for Solving Nonhomogeneous Dynamic Response

Authors :
Meng Tao
Chao Zhang
Mingxiang Ling
Source :
Journal of Computational and Nonlinear Dynamics. 17
Publication Year :
2021
Publisher :
ASME International, 2021.

Abstract

This article puts forward a computationally efficient block matrix based precise integration algorithm for solving vibration response subjected to time-variable excitation and nonlinearity, especially for nonhomogeneous dynamic response solution with large-scale degrees-of-freedom. In detail, the nonlinear parts and time-varying inputs of a dynamic system are separated from the original dynamic equations and then simulated within a computing time-step by employing a piecewise interpolation function. A novel closed-form iteration formula is presented in conjunction with the block matrix strategy and modified increment-dimensional precise integration technique. Interestingly, the presented approach is essentially a high-accuracy and parallel algorithm, which exhibits a high prediction accuracy without the limitation of matrix inversion, higher-order derivative, periodicity requirement nor cycle oscillation and instability of high-order interpolation. The feasibility and advantage of the proposed method are verified with two numerical examples.

Details

ISSN :
15551423 and 15551415
Volume :
17
Database :
OpenAIRE
Journal :
Journal of Computational and Nonlinear Dynamics
Accession number :
edsair.doi...........2fc28c78bf6426aec49b9ac313b09f1a
Full Text :
https://doi.org/10.1115/1.4052651