Model reduction concepts and substructuring approaches for linear systems

Matthew S. Allen; Daniel Rixen; Maarten van der Seijs; Paolo Tiso; Thomas Abrahamsson; Randall L. Mayes

doi:10.1007/978-3-030-25532-9_3

Model reduction concepts and substructuring approaches for linear systems

Matthew S. Allen
, Daniel Rixen
, Maarten van der Seijs
, Paolo Tiso
, Thomas Abrahamsson
, Randall L. Mayes

Chair of Applied Mechanics

University of Wisconsin
VIBES.technology
ETH Zurich
Chalmers University of Technology
Sandia National Laboratories, New Mexico

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

3 Scopus citations

Abstract

In this chapter, we give an overview of some of the most common reduction techniques based on substructuring. Although all techniques follow a similar approach, the main difference between the methods lies into the basis vectors used in the approximation subspace to represent the dynamics of each substructure and the manner in which the substructures are a couple. — Chapter Authors: Daniel Rixen, Matt Allen, and Thomas Abrahamsson.

Original language	English
Title of host publication	CISM International Centre for Mechanical Sciences, Courses and Lectures
Publisher	Springer International Publishing
Pages	25-73
Number of pages	49
DOIs	https://doi.org/10.1007/978-3-030-25532-9_3
State	Published - 2020

Publication series

Name	CISM International Centre for Mechanical Sciences, Courses and Lectures
Volume	594
ISSN (Print)	0254-1971
ISSN (Electronic)	2309-3706

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10.1007/978-3-030-25532-9_3

Cite this

Allen, M. S., Rixen, D., van der Seijs, M., Tiso, P., Abrahamsson, T., & Mayes, R. L. (2020). Model reduction concepts and substructuring approaches for linear systems. In CISM International Centre for Mechanical Sciences, Courses and Lectures (pp. 25-73). (CISM International Centre for Mechanical Sciences, Courses and Lectures; Vol. 594). Springer International Publishing. https://doi.org/10.1007/978-3-030-25532-9_3

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title = "Model reduction concepts and substructuring approaches for linear systems",

abstract = "In this chapter, we give an overview of some of the most common reduction techniques based on substructuring. Although all techniques follow a similar approach, the main difference between the methods lies into the basis vectors used in the approximation subspace to represent the dynamics of each substructure and the manner in which the substructures are a couple. — Chapter Authors: Daniel Rixen, Matt Allen, and Thomas Abrahamsson.",

author = "Allen, \{Matthew S.\} and Daniel Rixen and \{van der Seijs\}, Maarten and Paolo Tiso and Thomas Abrahamsson and Mayes, \{Randall L.\}",

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year = "2020",

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language = "English",

series = "CISM International Centre for Mechanical Sciences, Courses and Lectures",

publisher = "Springer International Publishing",

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Allen, MS, Rixen, D, van der Seijs, M, Tiso, P, Abrahamsson, T & Mayes, RL 2020, Model reduction concepts and substructuring approaches for linear systems. in CISM International Centre for Mechanical Sciences, Courses and Lectures. CISM International Centre for Mechanical Sciences, Courses and Lectures, vol. 594, Springer International Publishing, pp. 25-73. https://doi.org/10.1007/978-3-030-25532-9_3

Model reduction concepts and substructuring approaches for linear systems. / Allen, Matthew S.; Rixen, Daniel; van der Seijs, Maarten et al.
CISM International Centre for Mechanical Sciences, Courses and Lectures. Springer International Publishing, 2020. p. 25-73 (CISM International Centre for Mechanical Sciences, Courses and Lectures; Vol. 594).

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

TY - CHAP

T1 - Model reduction concepts and substructuring approaches for linear systems

AU - Allen, Matthew S.

AU - Rixen, Daniel

AU - van der Seijs, Maarten

AU - Tiso, Paolo

AU - Abrahamsson, Thomas

AU - Mayes, Randall L.

PY - 2020

Y1 - 2020

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PB - Springer International Publishing

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Allen MS, Rixen D, van der Seijs M, Tiso P, Abrahamsson T, Mayes RL. Model reduction concepts and substructuring approaches for linear systems. In CISM International Centre for Mechanical Sciences, Courses and Lectures. Springer International Publishing. 2020. p. 25-73. (CISM International Centre for Mechanical Sciences, Courses and Lectures). doi: 10.1007/978-3-030-25532-9_3

Model reduction concepts and substructuring approaches for linear systems

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