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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2020-11-01
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Series: | Advances in Mechanical Engineering |
Online Access: | https://doi.org/10.1177/1687814020971903 |
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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 |
work_keys_str_mv |
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