A quartic B-spline based explicit time integration scheme for structural dynamics with controllable numerical dissipation

被引：26

作者：

Wen, W. B. ^{[2
,3
]}

Duan, S. Y. ^{[1
]}

Yan, J. ^{[2
]}

Ma, Y. B. ^{[1
,2
]}

Wei, K. ^{[4
]}

Fang, D. N. ^{[1
,3
]}

机构：

[1] Beijing Inst Technol, Inst Adv Struct Technol, Beijing 100081, Peoples R China

[2] Dalian Univ Technol, State Key Lab Struct Anal Ind Equipment, Dalian 116024, Peoples R China

[3] Peking Univ, Coll Engn, Beijing 100871, Peoples R China

[4] Hunan Univ, Sch Mech & Vehicle Engn, State Key Lab Adv Design & Mfg Vehicle Body, Changsha 410082, Hunan, Peoples R China

来源：

COMPUTATIONAL MECHANICS | 2017年 / 59卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Structural dynamics; Time integration; Explicit; Numerical dissipation; B-spline; ALGORITHMS;

D O I：

10.1007/s00466-016-1352-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An explicit time integration scheme based on quartic B-splines is presented for solving linear structural dynamics problems. The scheme is of a one-parameter family of schemes where free algorithmic parameter controls stability, accuracy and numerical dispersion. The proposed scheme possesses at least second-order accuracy and at most third-order accuracy. A 2D wave problem is analyzed to demonstrate the effectiveness of the proposed scheme in reducing high-frequency modes and retaining low-frequency modes. Except for general structural dynamics, the proposed scheme can be used effectively for wave propagation problems in which numerical dissipation is needed to reduce spurious oscillations.

引用

页码：403 / 418

页数：16

共 25 条

[1]

Bathe KJ., 1996, Finite element procedures

[2] Conserving energy and momentum in nonlinear dynamics: A simple implicit time integration scheme [J].

Bathe, Klaus-Jurgen .

COMPUTERS & STRUCTURES, 2007, 85 (7-8) :437-445

[3] COMPUTATIONAL METHODS IN LAGRANGIAN AND EULERIAN HYDROCODES [J].

BENSON, DJ .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1992, 99 (2-3) :235-394

[4] A novel time integration method for structural dynamics utilizing uniform quintic B-spline functions [J].

Bin Wen, W. ;

Luo, S. Ming ;

Jian, K. Lin .

ARCHIVE OF APPLIED MECHANICS, 2015, 85 (12) :1743-1759

[5] A NEW FAMILY OF EXPLICIT TIME INTEGRATION METHODS FOR LINEAR AND NONLINEAR STRUCTURAL DYNAMICS [J].

CHUNG, JT ;

LEE, JM .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1994, 37 (23) :3961-3976

[6]

Fung T., 2003, Progress in Structural Engineering and Materials, V5, P167, DOI [10.1002/pse.149, DOI 10.1002/PSE.149]

[7] COLLOCATION, DISSIPATION AND OVERSHOOT FOR TIME INTEGRATION SCHEMES IN STRUCTURAL DYNAMICS [J].

HILBER, HM ;

HUGHES, TJR .

EARTHQUAKE ENGINEERING & STRUCTURAL DYNAMICS, 1978, 6 (01) :99-117

[8] Explicit time integration algorithms for structural dynamics with optimal numerical dissipation [J].

Hulbert, GM ;

Chung, JT .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1996, 137 (02) :175-188

[9] A new high-order accurate continuous Galerkin method for linear elastodynamics problems [J].

Idesman, Alexander V. .

COMPUTATIONAL MECHANICS, 2007, 40 (02) :261-279

[10] Damping algorithms and effects for explicit dynamics computations [J].

Johnson, GR ;

Beissel, SR .

INTERNATIONAL JOURNAL OF IMPACT ENGINEERING, 2001, 25 (09) :911-925

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