Model reduction concepts and substructuring approaches for nonlinear 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_6

Model reduction concepts and substructuring approaches for nonlinear systems

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

Chair of Applied Mechanics

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

4 Scopus citations

Abstract

This chapter reviews common nonlinearities that are encountered in engineering structures, with a particular emphasis on geometric nonlinearity. Popular ways to construct reduced order models for geometrically nonlinear problems are discussed. The concept of nonlinear normal modes is presented to help understand the dynamics of these structures, and some recently presented substructuring methods are reviewed. —Chapter Authors: Matt Allen & Paolo Tiso.

Original language	English
Title of host publication	CISM International Centre for Mechanical Sciences, Courses and Lectures
Publisher	Springer International Publishing
Pages	233-267
Number of pages	35
DOIs	https://doi.org/10.1007/978-3-030-25532-9_6
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_6

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Allen, M. S., Rixen, D., van der Seijs, M., Tiso, P., Abrahamsson, T., & Mayes, R. L. (2020). Model reduction concepts and substructuring approaches for nonlinear systems. In CISM International Centre for Mechanical Sciences, Courses and Lectures (pp. 233-267). (CISM International Centre for Mechanical Sciences, Courses and Lectures; Vol. 594). Springer International Publishing. https://doi.org/10.1007/978-3-030-25532-9_6

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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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Allen, MS, Rixen, D, van der Seijs, M, Tiso, P, Abrahamsson, T & Mayes, RL 2020, Model reduction concepts and substructuring approaches for nonlinear 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. 233-267. https://doi.org/10.1007/978-3-030-25532-9_6

Model reduction concepts and substructuring approaches for nonlinear 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. 233-267 (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 nonlinear systems

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AU - Rixen, Daniel

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AU - Tiso, Paolo

AU - Abrahamsson, Thomas

AU - Mayes, Randall L.

PY - 2020

Y1 - 2020

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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 nonlinear systems. In CISM International Centre for Mechanical Sciences, Courses and Lectures. Springer International Publishing. 2020. p. 233-267. (CISM International Centre for Mechanical Sciences, Courses and Lectures). doi: 10.1007/978-3-030-25532-9_6

Model reduction concepts and substructuring approaches for nonlinear systems

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