A novel hybrid sub-step explicit time integration method with cubic B-spline interpolation and momentum corrector technique for linear and nonlinear dynamics

In this study, a novel hybrid sub-step explicit time integration method based on cubic B-spline interpolation and integration procedure is proposed. In the procedure, a “momentum corrector” technique of load integration is employed to achieve improved solution accuracy for both linear and nonlinear...

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Bibliographic Details
Published in:Nonlinear dynamics 2022-11, Vol.110 (3), p.2685-2714
Main Authors: Wen, Weibin, Li, He, Liu, Tianhao, Deng, Shanyao, Duan, Shengyu
Format: Article
Language:English
Subjects:
Accuracy
Algorithms
Automotive Engineering
Classical Mechanics
Control
Damping
Dynamical Systems
Engineering
Interpolation
Load
Mechanical Engineering
Methods
Momentum
Nonlinear dynamics
Numerical dissipation
Original Paper
Parameters
Propagation
Time integration
Vibration
Wave propagation
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Summary:In this study, a novel hybrid sub-step explicit time integration method based on cubic B-spline interpolation and integration procedure is proposed. In the procedure, a “momentum corrector” technique of load integration is employed to achieve improved solution accuracy for both linear and nonlinear dynamic problems. New method has three free parameters, and can flexibly control basic algorithm properties including accuracy, stability and numerical dissipation. With optimized algorithmic parameters, new method can achieve at least second-order accuracy with or without physical damping, and achieve third-order accuracy without physical damping. Numerical examples demonstrate, compared with other competitive explicit methods, new method shows far higher solution accuracy for general linear dynamic problems, discontinuous applied load, wave propagation problem and nonlinear dynamic problems.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-022-07740-9