Shape adaptation of beams (1D) and plates (2D) to maximise eigenfrequencies

Finding the optimal structural design to avoid resonance has been a goal for decades. While recent applied methods often result in using additional active systems or higher mass, structural adaptation enables to shift eigenfrequencies without adding weight. The aim of this study is to investigate th...

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Main Authors: Simone Andresen, Laura M Lottes, Selina K Linnemann, Reinhold Kienzler
Format: Article
Language:English
Published: SAGE Publishing 2020-11-01
Series:Advances in Mechanical Engineering
Online Access:https://doi.org/10.1177/1687814020971903
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spelling doaj-93f71a0d4d6e4360a63b956da2962e462021-05-12T04:33:19ZengSAGE PublishingAdvances in Mechanical Engineering1687-81402020-11-011210.1177/1687814020971903Shape adaptation of beams (1D) and plates (2D) to maximise eigenfrequenciesSimone Andresen0Laura M Lottes1Selina K Linnemann2Reinhold Kienzler3Bremen Institute for Mechanical Engineering, University of Bremen, Bremen, GermanyBionic Lightweight Design and Functional Morphology, Alfred Wegener Institute, Helmholtz Centre for Polar and Marine Research, Bremerhaven, GermanyBionic Lightweight Design and Functional Morphology, Alfred Wegener Institute, Helmholtz Centre for Polar and Marine Research, Bremerhaven, GermanyBremen Institute for Mechanical Engineering, University of Bremen, Bremen, GermanyFinding the optimal structural design to avoid resonance has been a goal for decades. While recent applied methods often result in using additional active systems or higher mass, structural adaptation enables to shift eigenfrequencies without adding weight. The aim of this study is to investigate the influence of the structural adaptation of a beam and a plate on its eigenfrequency change, while varying the height of the structural pre-deformation according to its mode shapes. Besides the maximisation of single eigenfrequencies, also the simultaneous increase of multiple eigenfrequencies is analysed. It is possible to almost exclusively raise the frequency of the targeted i -th mode shape ( i  = 1–5) of a beam, while the increase of the i -th plate mode shape frequency ( i  = 1–4) simultaneously alters other eigenfrequencies. Both the eigenfrequencies and specific mode shape frequencies are able to be significantly increased. In conclusion, the investigated, easy applicable method allows a strong eigenfrequency raise of axially constrained 1D and 2D structures by performing only small structural deformations without adding additional weight.https://doi.org/10.1177/1687814020971903
collection DOAJ
language English
format Article
sources DOAJ
author Simone Andresen
Laura M Lottes
Selina K Linnemann
Reinhold Kienzler
spellingShingle Simone Andresen
Laura M Lottes
Selina K Linnemann
Reinhold Kienzler
Shape adaptation of beams (1D) and plates (2D) to maximise eigenfrequencies
Advances in Mechanical Engineering
author_facet Simone Andresen
Laura M Lottes
Selina K Linnemann
Reinhold Kienzler
author_sort Simone Andresen
title Shape adaptation of beams (1D) and plates (2D) to maximise eigenfrequencies
title_short Shape adaptation of beams (1D) and plates (2D) to maximise eigenfrequencies
title_full Shape adaptation of beams (1D) and plates (2D) to maximise eigenfrequencies
title_fullStr Shape adaptation of beams (1D) and plates (2D) to maximise eigenfrequencies
title_full_unstemmed Shape adaptation of beams (1D) and plates (2D) to maximise eigenfrequencies
title_sort shape adaptation of beams (1d) and plates (2d) to maximise eigenfrequencies
publisher SAGE Publishing
series Advances in Mechanical Engineering
issn 1687-8140
publishDate 2020-11-01
description Finding the optimal structural design to avoid resonance has been a goal for decades. While recent applied methods often result in using additional active systems or higher mass, structural adaptation enables to shift eigenfrequencies without adding weight. The aim of this study is to investigate the influence of the structural adaptation of a beam and a plate on its eigenfrequency change, while varying the height of the structural pre-deformation according to its mode shapes. Besides the maximisation of single eigenfrequencies, also the simultaneous increase of multiple eigenfrequencies is analysed. It is possible to almost exclusively raise the frequency of the targeted i -th mode shape ( i  = 1–5) of a beam, while the increase of the i -th plate mode shape frequency ( i  = 1–4) simultaneously alters other eigenfrequencies. Both the eigenfrequencies and specific mode shape frequencies are able to be significantly increased. In conclusion, the investigated, easy applicable method allows a strong eigenfrequency raise of axially constrained 1D and 2D structures by performing only small structural deformations without adding additional weight.
url https://doi.org/10.1177/1687814020971903
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