Time History Forced Response in Nonlinear Mechanical Systems

Time History Forced Response in Nonlinear Mechanical Systems

A formulation of a digital filter method for computing the forced response of a linear MDOF mechanical system is proposed. It is shown how aliasing error effects can be avoided at the expense of a bias error. The bias error is however completely known and it is system independent, as it only depends...

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Main Authors: Magnevall M., Josefsson A., Ahlin K.
Format: Article
Language:English
Published: EDP Sciences 2012-07-01
Series:MATEC Web of Conferences
Online Access:http://dx.doi.org/10.1051/matecconf/20120103002
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spelling doaj-7a9e2ff4e0954e30811b6d1eca5f28492021-02-02T01:38:59ZengEDP SciencesMATEC Web of Conferences2261-236X2012-07-0110300210.1051/matecconf/20120103002Time History Forced Response in Nonlinear Mechanical SystemsMagnevall M.Josefsson A.Ahlin K.A formulation of a digital filter method for computing the forced response of a linear MDOF mechanical system is proposed. It is shown how aliasing error effects can be avoided at the expense of a bias error. The bias error is however completely known and it is system independent, as it only depends on the sampling frequency used. The mechanical system is described by its modal parameters, poles and residues. The method is extended to include non-linear elements. A toolbox in MATLAB has been created where nonlinear elements with and without memory can be treated, as well as system described by coupled non-linear equations. http://dx.doi.org/10.1051/matecconf/20120103002
collection DOAJ
language English
format Article
sources DOAJ
author Magnevall M.
Josefsson A.
Ahlin K.
spellingShingle Magnevall M.
Josefsson A.
Ahlin K.
Time History Forced Response in Nonlinear Mechanical Systems
MATEC Web of Conferences
author_facet Magnevall M.
Josefsson A.
Ahlin K.
author_sort Magnevall M.
title Time History Forced Response in Nonlinear Mechanical Systems
title_short Time History Forced Response in Nonlinear Mechanical Systems
title_full Time History Forced Response in Nonlinear Mechanical Systems
title_fullStr Time History Forced Response in Nonlinear Mechanical Systems
title_full_unstemmed Time History Forced Response in Nonlinear Mechanical Systems
title_sort time history forced response in nonlinear mechanical systems
publisher EDP Sciences
series MATEC Web of Conferences
issn 2261-236X
publishDate 2012-07-01
description A formulation of a digital filter method for computing the forced response of a linear MDOF mechanical system is proposed. It is shown how aliasing error effects can be avoided at the expense of a bias error. The bias error is however completely known and it is system independent, as it only depends on the sampling frequency used. The mechanical system is described by its modal parameters, poles and residues. The method is extended to include non-linear elements. A toolbox in MATLAB has been created where nonlinear elements with and without memory can be treated, as well as system described by coupled non-linear equations.
url http://dx.doi.org/10.1051/matecconf/20120103002
work_keys_str_mv AT magnevallm timehistoryforcedresponseinnonlinearmechanicalsystems
AT josefssona timehistoryforcedresponseinnonlinearmechanicalsystems
AT ahlink timehistoryforcedresponseinnonlinearmechanicalsystems
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