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

Jurnan Schilder; Marcel Ellenbroek; André de Boer

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

Jurnan Schilder, Marcel Ellenbroek, André de Boer

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

3 Citations (Scopus)

91 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 language	English
Title of host publication	ECCOMAS Thematic Conference on Multibody Dynamics
Subtitle of host publication	Prague, June 19-22, 2017 : conference proceedings
Editors	Michael Valasek, Zbynek Sika, Tomas Vampola
Publisher	Czech Technical University
Pages	57-61
Number of pages	5
ISBN (Electronic)	978-80-01-6174-9
ISBN (Print)	978-80-01-06173-2
Publication status	Published - 19 Jun 2017
Event	Multibody Dynamics 2017: 8th ECCOMAS Thematic Conference - Czech Technical University, Prague, Czech Republic Duration: 19 Jun 2017 → 22 Jun 2017 Conference number: 8 http://multibody2017.cz/

Conference

Conference	Multibody Dynamics 2017
Country/Territory	Czech Republic
City	Prague
Period	19/06/17 → 22/06/17
Internet address	http://multibody2017.cz/

Keywords

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

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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

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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 = jun,

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",

note = "Multibody Dynamics 2017 : 8th ECCOMAS Thematic Conference ; Conference date: 19-06-2017 Through 22-06-2017",

url = "http://multibody2017.cz/",

}

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 proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Recursive Solution Procedures for Flexible Multibody Systems

T2 - Multibody Dynamics 2017

AU - Schilder, Jurnan

AU - Ellenbroek, Marcel

AU - de Boer, André

N1 - Conference code: 8

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

Y2 - 19 June 2017 through 22 June 2017

ER -

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

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