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

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...

Full description

Saved in:
Bibliographic Details
Published in:International journal for numerical methods in engineering 2021-01, Vol.122 (2), p.431-454
Main Authors: Wen, Weibin, Deng, Shanyao, Duan, Shengyu, Fang, Daining
Format: Article
Language:English
Subjects:
Algorithms
b‐spline
Damping
Elongation
explicit
Interpolation
Nonlinear dynamics
Parameters
stability
structural dynamics
Time integration
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0029-5981
1097-0207
DOI:10.1002/nme.6543