Recursive Solution Procedures for Flexible Multibody Systems: Comparing Condensation and Transfer Matrix Methods

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

1 Citation (Scopus)
44 Downloads (Pure)

Abstract

In this work two different recursive solution procedures for flexible multibody systems are considered: the condensation method and the transfer matrix method. A comparison between these methods is made based on the equation of motion of an arbitrary 3D linear elastic body, in which the absolute interface coordinates are used as generalized coordinates. To this end, the equation of motion in a floating frame of reference formulation is rewritten in terms absolute interface coordinates for a body that has two interface points. In terms of these absolute coordinates, the condensation method can be given a clear physical interpretation related to added effective mass. This method is compared with a recursive solution procedure based on transfer matrices. This transfer matrix method may have advantages in the case of closed-loop systems and systems that consist of a chain of identical bodies.
Original languageEnglish
Title of host publicationECCOMAS Thematic Conference on Multibody Dynamics
Subtitle of host publicationPrague, June 19-22, 2017 : conference proceedings
EditorsMichael Valasek, Zbynek Sika, Tomas Vampola
PublisherCzech Technical University
Pages57-61
Number of pages5
ISBN (Electronic)978-80-01-6174-9
ISBN (Print)978-80-01-06173-2
Publication statusPublished - 19 Jun 2017
EventMultibody Dynamics 2017: 8th ECCOMAS Thematic Conference - Czech Technical University, Prague, Czech Republic
Duration: 19 Jun 201722 Jun 2017
Conference number: 8
http://multibody2017.cz/

Conference

ConferenceMultibody Dynamics 2017
CountryCzech Republic
CityPrague
Period19/06/1722/06/17
Internet address

Fingerprint

Transfer matrix method
Equations of motion
Condensation
Closed loop systems

Keywords

  • Flexible multibody dynamics
  • Recursive formulations
  • Floating frame of reference
  • Transfer matrix method

Cite this

Schilder, J., Ellenbroek, M., & de Boer, A. (2017). Recursive Solution Procedures for Flexible Multibody Systems: Comparing Condensation and Transfer Matrix Methods. In M. Valasek, Z. Sika, & T. Vampola (Eds.), ECCOMAS Thematic Conference on Multibody Dynamics: Prague, June 19-22, 2017 : conference proceedings (pp. 57-61). Czech Technical University.
Schilder, Jurnan ; Ellenbroek, Marcel ; de Boer, André. / Recursive Solution Procedures for Flexible Multibody Systems : Comparing Condensation and Transfer Matrix Methods. ECCOMAS Thematic Conference on Multibody Dynamics: Prague, June 19-22, 2017 : conference proceedings. editor / Michael Valasek ; Zbynek Sika ; Tomas Vampola. Czech Technical University, 2017. pp. 57-61
@inproceedings{2e667208349341c5a41720010d641bfe,
title = "Recursive Solution Procedures for Flexible Multibody Systems: Comparing Condensation and Transfer Matrix Methods",
abstract = "In this work two different recursive solution procedures for flexible multibody systems are considered: the condensation method and the transfer matrix method. A comparison between these methods is made based on the equation of motion of an arbitrary 3D linear elastic body, in which the absolute interface coordinates are used as generalized coordinates. To this end, the equation of motion in a floating frame of reference formulation is rewritten in terms absolute interface coordinates for a body that has two interface points. In terms of these absolute coordinates, the condensation method can be given a clear physical interpretation related to added effective mass. This method is compared with a recursive solution procedure based on transfer matrices. This transfer matrix method may have advantages in the case of closed-loop systems and systems that consist of a chain of identical bodies.",
keywords = "Flexible multibody dynamics, Recursive formulations, Floating frame of reference, Transfer matrix method",
author = "Jurnan Schilder and Marcel Ellenbroek and {de Boer}, Andr{\'e}",
year = "2017",
month = "6",
day = "19",
language = "English",
isbn = "978-80-01-06173-2",
pages = "57--61",
editor = "Michael Valasek and Zbynek Sika and Tomas Vampola",
booktitle = "ECCOMAS Thematic Conference on Multibody Dynamics",
publisher = "Czech Technical University",
address = "Czech Republic",

}

Schilder, J, Ellenbroek, M & de Boer, A 2017, Recursive Solution Procedures for Flexible Multibody Systems: Comparing Condensation and Transfer Matrix Methods. in M Valasek, Z Sika & T Vampola (eds), ECCOMAS Thematic Conference on Multibody Dynamics: Prague, June 19-22, 2017 : conference proceedings. Czech Technical University, pp. 57-61, Multibody Dynamics 2017, Prague, Czech Republic, 19/06/17.

Recursive Solution Procedures for Flexible Multibody Systems : Comparing Condensation and Transfer Matrix Methods. / Schilder, Jurnan; Ellenbroek, Marcel; de Boer, André.

ECCOMAS Thematic Conference on Multibody Dynamics: Prague, June 19-22, 2017 : conference proceedings. ed. / Michael Valasek; Zbynek Sika; Tomas Vampola. Czech Technical University, 2017. p. 57-61.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

TY - GEN

T1 - Recursive Solution Procedures for Flexible Multibody Systems

T2 - Comparing Condensation and Transfer Matrix Methods

AU - Schilder, Jurnan

AU - Ellenbroek, Marcel

AU - de Boer, André

PY - 2017/6/19

Y1 - 2017/6/19

N2 - In this work two different recursive solution procedures for flexible multibody systems are considered: the condensation method and the transfer matrix method. A comparison between these methods is made based on the equation of motion of an arbitrary 3D linear elastic body, in which the absolute interface coordinates are used as generalized coordinates. To this end, the equation of motion in a floating frame of reference formulation is rewritten in terms absolute interface coordinates for a body that has two interface points. In terms of these absolute coordinates, the condensation method can be given a clear physical interpretation related to added effective mass. This method is compared with a recursive solution procedure based on transfer matrices. This transfer matrix method may have advantages in the case of closed-loop systems and systems that consist of a chain of identical bodies.

AB - In this work two different recursive solution procedures for flexible multibody systems are considered: the condensation method and the transfer matrix method. A comparison between these methods is made based on the equation of motion of an arbitrary 3D linear elastic body, in which the absolute interface coordinates are used as generalized coordinates. To this end, the equation of motion in a floating frame of reference formulation is rewritten in terms absolute interface coordinates for a body that has two interface points. In terms of these absolute coordinates, the condensation method can be given a clear physical interpretation related to added effective mass. This method is compared with a recursive solution procedure based on transfer matrices. This transfer matrix method may have advantages in the case of closed-loop systems and systems that consist of a chain of identical bodies.

KW - Flexible multibody dynamics

KW - Recursive formulations

KW - Floating frame of reference

KW - Transfer matrix method

M3 - Conference contribution

SN - 978-80-01-06173-2

SP - 57

EP - 61

BT - ECCOMAS Thematic Conference on Multibody Dynamics

A2 - Valasek, Michael

A2 - Sika, Zbynek

A2 - Vampola, Tomas

PB - Czech Technical University

ER -

Schilder J, Ellenbroek M, de Boer A. Recursive Solution Procedures for Flexible Multibody Systems: Comparing Condensation and Transfer Matrix Methods. In Valasek M, Sika Z, Vampola T, editors, ECCOMAS Thematic Conference on Multibody Dynamics: Prague, June 19-22, 2017 : conference proceedings. Czech Technical University. 2017. p. 57-61