A high-order accurate explicit time integration method based on cubic b-spline interpolation and weighted residual technique for structural dynamics

Weibin Wen; Shanyao Deng; Shengyu Duan; Daining Fang

doi:10.1002/nme.6543

A high-order accurate explicit time integration method based on cubic b-spline interpolation and weighted residual technique for structural dynamics

Weibin Wen, Shanyao Deng, Shengyu Duan^*, Daining Fang

^*Corresponding author for this work

Institute of Advanced Structure Technology

Research output: Contribution to journal › Article › peer-review

23 Citations (Scopus)

Abstract

A novel explicit time integration method is proposed on the basis of cubic b-spline interpolation and weighted residual method. Its calculation formulation and procedure are presented. Accuracy, algorithmic damping, and period elongation are theoretically and numerically solved. The influence of two algorithmic parameters on basic properties of the proposed method is studied to obtain optimal parameters values for dynamic problems. Various linear and nonlinear dynamic problems are tested to demonstrate high efficiency of the proposed method.

Original language	English
Pages (from-to)	431-454
Number of pages	24
Journal	International Journal for Numerical Methods in Engineering
Volume	122
Issue number	2
DOIs	https://doi.org/10.1002/nme.6543
Publication status	Published - 30 Jan 2021

Keywords

b-spline
explicit
stability
structural dynamics
time integration

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10.1002/nme.6543

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abstract = "A novel explicit time integration method is proposed on the basis of cubic b-spline interpolation and weighted residual method. Its calculation formulation and procedure are presented. Accuracy, algorithmic damping, and period elongation are theoretically and numerically solved. The influence of two algorithmic parameters on basic properties of the proposed method is studied to obtain optimal parameters values for dynamic problems. Various linear and nonlinear dynamic problems are tested to demonstrate high efficiency of the proposed method.",

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A high-order accurate explicit time integration method based on cubic b-spline interpolation and weighted residual technique for structural dynamics. / Wen, Weibin; Deng, Shanyao; Duan, Shengyu et al.
In: International Journal for Numerical Methods in Engineering, Vol. 122, No. 2, 30.01.2021, p. 431-454.

Research output: Contribution to journal › Article › peer-review

TY - JOUR

T1 - A high-order accurate explicit time integration method based on cubic b-spline interpolation and weighted residual technique for structural dynamics

AU - Wen, Weibin

AU - Deng, Shanyao

AU - Duan, Shengyu

AU - Fang, Daining

PY - 2021/1/30

Y1 - 2021/1/30

N2 - A novel explicit time integration method is proposed on the basis of cubic b-spline interpolation and weighted residual method. Its calculation formulation and procedure are presented. Accuracy, algorithmic damping, and period elongation are theoretically and numerically solved. The influence of two algorithmic parameters on basic properties of the proposed method is studied to obtain optimal parameters values for dynamic problems. Various linear and nonlinear dynamic problems are tested to demonstrate high efficiency of the proposed method.

AB - A novel explicit time integration method is proposed on the basis of cubic b-spline interpolation and weighted residual method. Its calculation formulation and procedure are presented. Accuracy, algorithmic damping, and period elongation are theoretically and numerically solved. The influence of two algorithmic parameters on basic properties of the proposed method is studied to obtain optimal parameters values for dynamic problems. Various linear and nonlinear dynamic problems are tested to demonstrate high efficiency of the proposed method.

KW - b-spline

KW - explicit

KW - stability

KW - structural dynamics

KW - time integration

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DO - 10.1002/nme.6543

M3 - Article

AN - SCOPUS:85092105567

SN - 0029-5981

VL - 122

SP - 431

EP - 454

JO - International Journal for Numerical Methods in Engineering

JF - International Journal for Numerical Methods in Engineering

IS - 2

ER -

A high-order accurate explicit time integration method based on cubic b-spline interpolation and weighted residual technique for structural dynamics

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Keywords

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