Efficient Model Order Reduction of Structural Dynamic Systems with Local Nonlinearities under Periodic Motion

Efficient Model Order Reduction of Structural Dynamic Systems with Local Nonlinearities under Periodic Motion

In many nonlinear structural systems, compared with the local regions with induced nonlinear effects, the main portions of the structures are linear. An exact condensation technique based on the harmonic balance method (HBM) in conjunction with the modal expansion technique is employed to convert th...

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Main Authors: M. Mohammadali, H. Ahmadian
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2014/152145
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spelling doaj-a3281b075e344685af4780cccd5425d12020-11-24T23:48:48ZengHindawi LimitedShock and Vibration1070-96221875-92032014-01-01201410.1155/2014/152145152145Efficient Model Order Reduction of Structural Dynamic Systems with Local Nonlinearities under Periodic MotionM. Mohammadali0H. Ahmadian1Center of Excellence in Experimental Solid Mechanics and Dynamics, School of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran 16844, IranCenter of Excellence in Experimental Solid Mechanics and Dynamics, School of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran 16844, IranIn many nonlinear structural systems, compared with the local regions with induced nonlinear effects, the main portions of the structures are linear. An exact condensation technique based on the harmonic balance method (HBM) in conjunction with the modal expansion technique is employed to convert the motion equations of such a system to a set of nonlinear algebraic equations that are considerably small and adequately accurate to determine periodic responses. To demonstrate the capability of the suggested method, few case studies consisting of discrete systems with weak and essential nonlinearities are studied, and the results are compared to other methodologies results.http://dx.doi.org/10.1155/2014/152145
collection DOAJ
language English
format Article
sources DOAJ
author M. Mohammadali
H. Ahmadian
spellingShingle M. Mohammadali
H. Ahmadian
Efficient Model Order Reduction of Structural Dynamic Systems with Local Nonlinearities under Periodic Motion
Shock and Vibration
author_facet M. Mohammadali
H. Ahmadian
author_sort M. Mohammadali
title Efficient Model Order Reduction of Structural Dynamic Systems with Local Nonlinearities under Periodic Motion
title_short Efficient Model Order Reduction of Structural Dynamic Systems with Local Nonlinearities under Periodic Motion
title_full Efficient Model Order Reduction of Structural Dynamic Systems with Local Nonlinearities under Periodic Motion
title_fullStr Efficient Model Order Reduction of Structural Dynamic Systems with Local Nonlinearities under Periodic Motion
title_full_unstemmed Efficient Model Order Reduction of Structural Dynamic Systems with Local Nonlinearities under Periodic Motion
title_sort efficient model order reduction of structural dynamic systems with local nonlinearities under periodic motion
publisher Hindawi Limited
series Shock and Vibration
issn 1070-9622
1875-9203
publishDate 2014-01-01
description In many nonlinear structural systems, compared with the local regions with induced nonlinear effects, the main portions of the structures are linear. An exact condensation technique based on the harmonic balance method (HBM) in conjunction with the modal expansion technique is employed to convert the motion equations of such a system to a set of nonlinear algebraic equations that are considerably small and adequately accurate to determine periodic responses. To demonstrate the capability of the suggested method, few case studies consisting of discrete systems with weak and essential nonlinearities are studied, and the results are compared to other methodologies results.
url http://dx.doi.org/10.1155/2014/152145
work_keys_str_mv AT mmohammadali efficientmodelorderreductionofstructuraldynamicsystemswithlocalnonlinearitiesunderperiodicmotion
AT hahmadian efficientmodelorderreductionofstructuraldynamicsystemswithlocalnonlinearitiesunderperiodicmotion
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