Structural Synthesis for Prescribed Target Natural Frequencies and Mode Shapes

A new method for the synthesis of structures with prescribed target natural frequencies and mode shapes is presented. The introduction of a modal Rayleigh quotient approximation based on the target mode shapes is the means to propose a structural synthesis problem whose solution is free from eigenve...

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Main Authors: J. A. Hernandes, A. Suleman
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2014/173786
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author J. A. Hernandes
A. Suleman
author_facet J. A. Hernandes
A. Suleman
author_sort J. A. Hernandes
collection DOAJ
description A new method for the synthesis of structures with prescribed target natural frequencies and mode shapes is presented. The introduction of a modal Rayleigh quotient approximation based on the target mode shapes is the means to propose a structural synthesis problem whose solution is free from eigenvector sensitivity analysis. The frequencies and mode shapes can be adjusted as close as possible to the desired target values, while minimizing the total mass. Several examples corroborate the efficacy of the proposed method.
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spelling doaj-art-177b16615f284d248b5f32e9e444f2f62025-08-20T02:04:54ZengWileyShock and Vibration1070-96221875-92032014-01-01201410.1155/2014/173786173786Structural Synthesis for Prescribed Target Natural Frequencies and Mode ShapesJ. A. Hernandes0A. Suleman1Instituto Tecnológico de Aeronáutica, 12228-900 São José dos Campos, SP, BrazilDepartment of Mechanical Engineering, University of Victoria, Victoria, BC, CanadaA new method for the synthesis of structures with prescribed target natural frequencies and mode shapes is presented. The introduction of a modal Rayleigh quotient approximation based on the target mode shapes is the means to propose a structural synthesis problem whose solution is free from eigenvector sensitivity analysis. The frequencies and mode shapes can be adjusted as close as possible to the desired target values, while minimizing the total mass. Several examples corroborate the efficacy of the proposed method.http://dx.doi.org/10.1155/2014/173786
spellingShingle J. A. Hernandes
A. Suleman
Structural Synthesis for Prescribed Target Natural Frequencies and Mode Shapes
Shock and Vibration
title Structural Synthesis for Prescribed Target Natural Frequencies and Mode Shapes
title_full Structural Synthesis for Prescribed Target Natural Frequencies and Mode Shapes
title_fullStr Structural Synthesis for Prescribed Target Natural Frequencies and Mode Shapes
title_full_unstemmed Structural Synthesis for Prescribed Target Natural Frequencies and Mode Shapes
title_short Structural Synthesis for Prescribed Target Natural Frequencies and Mode Shapes
title_sort structural synthesis for prescribed target natural frequencies and mode shapes
url http://dx.doi.org/10.1155/2014/173786
work_keys_str_mv AT jahernandes structuralsynthesisforprescribedtargetnaturalfrequenciesandmodeshapes
AT asuleman structuralsynthesisforprescribedtargetnaturalfrequenciesandmodeshapes