Skip to content
Back to outputs

High precision integration for dynamic structural systems with holonomic constraints

Research output: Contribution to journalArticlepeer-review

Standard

High precision integration for dynamic structural systems with holonomic constraints. / Liu, Xiaojian; Begg, D. W.; Devane, M. A.; Zhong, Wanxie.

In: Structural Engineering and Mechanics: An International Journal, Vol. 5, No. 3, 25.05.1997, p. 283-295.

Research output: Contribution to journalArticlepeer-review

Harvard

Liu, X, Begg, DW, Devane, MA & Zhong, W 1997, 'High precision integration for dynamic structural systems with holonomic constraints', Structural Engineering and Mechanics: An International Journal, vol. 5, no. 3, pp. 283-295. https://doi.org/10.12989/sem.1997.5.3.283

APA

Liu, X., Begg, D. W., Devane, M. A., & Zhong, W. (1997). High precision integration for dynamic structural systems with holonomic constraints. Structural Engineering and Mechanics: An International Journal, 5(3), 283-295. https://doi.org/10.12989/sem.1997.5.3.283

Vancouver

Liu X, Begg DW, Devane MA, Zhong W. High precision integration for dynamic structural systems with holonomic constraints. Structural Engineering and Mechanics: An International Journal. 1997 May 25;5(3):283-295. https://doi.org/10.12989/sem.1997.5.3.283

Author

Liu, Xiaojian ; Begg, D. W. ; Devane, M. A. ; Zhong, Wanxie. / High precision integration for dynamic structural systems with holonomic constraints. In: Structural Engineering and Mechanics: An International Journal. 1997 ; Vol. 5, No. 3. pp. 283-295.

Bibtex

@article{079b693422c14796befb1a98cd53190b,
title = "High precision integration for dynamic structural systems with holonomic constraints",
abstract = "This paper presents a high precision integration method for the dynamic response analysis of structures with holonomic constraints. A detail recursive scheme suitable for algebraic and differential equations (ADEs) which incorporates generalized forces is established. The matrix exponential involved in the scheme is calculated precisely using 2N algorithm. The Taylor expansions of the nonlinear term concerned with state variables of the structure and the generalized constraint forces of the ADEs are derived and consequently, their particular integrals are obtained. The accuracy and effectiveness of the present method is demonstrated by two numerical examples, a plane truss with circular slot at its tip point and a slewing flexible cantilever beam which is currently interesting in optimal control of robot manipulators.",
keywords = "Algebraic and differential equations, Dynamic structures, Holonomic constraints, Matrix exponential, Numerical integration",
author = "Xiaojian Liu and Begg, {D. W.} and Devane, {M. A.} and Wanxie Zhong",
year = "1997",
month = may,
day = "25",
doi = "10.12989/sem.1997.5.3.283",
language = "English",
volume = "5",
pages = "283--295",
journal = "Structural Engineering and Mechanics: An International Journal",
issn = "1225-4568",
publisher = "Techno-Press Journals",
number = "3",

}

RIS

TY - JOUR

T1 - High precision integration for dynamic structural systems with holonomic constraints

AU - Liu, Xiaojian

AU - Begg, D. W.

AU - Devane, M. A.

AU - Zhong, Wanxie

PY - 1997/5/25

Y1 - 1997/5/25

N2 - This paper presents a high precision integration method for the dynamic response analysis of structures with holonomic constraints. A detail recursive scheme suitable for algebraic and differential equations (ADEs) which incorporates generalized forces is established. The matrix exponential involved in the scheme is calculated precisely using 2N algorithm. The Taylor expansions of the nonlinear term concerned with state variables of the structure and the generalized constraint forces of the ADEs are derived and consequently, their particular integrals are obtained. The accuracy and effectiveness of the present method is demonstrated by two numerical examples, a plane truss with circular slot at its tip point and a slewing flexible cantilever beam which is currently interesting in optimal control of robot manipulators.

AB - This paper presents a high precision integration method for the dynamic response analysis of structures with holonomic constraints. A detail recursive scheme suitable for algebraic and differential equations (ADEs) which incorporates generalized forces is established. The matrix exponential involved in the scheme is calculated precisely using 2N algorithm. The Taylor expansions of the nonlinear term concerned with state variables of the structure and the generalized constraint forces of the ADEs are derived and consequently, their particular integrals are obtained. The accuracy and effectiveness of the present method is demonstrated by two numerical examples, a plane truss with circular slot at its tip point and a slewing flexible cantilever beam which is currently interesting in optimal control of robot manipulators.

KW - Algebraic and differential equations

KW - Dynamic structures

KW - Holonomic constraints

KW - Matrix exponential

KW - Numerical integration

UR - http://www.scopus.com/inward/record.url?scp=0031139538&partnerID=8YFLogxK

UR - http://koreascience.or.kr/journal/KJKHB9/v5n3.page

U2 - 10.12989/sem.1997.5.3.283

DO - 10.12989/sem.1997.5.3.283

M3 - Article

AN - SCOPUS:0031139538

VL - 5

SP - 283

EP - 295

JO - Structural Engineering and Mechanics: An International Journal

JF - Structural Engineering and Mechanics: An International Journal

SN - 1225-4568

IS - 3

ER -

ID: 21051920