Vibration Analysis and Optimization of a Rectangular Plate with Flanging Hyperellipse Cutout

Vibration analysis and optimization of a rectangular plate with a flanging hyperellipse cutout is investigated in this paper, numerically. In the analysis, finite element method (FEM) is applied to perform parametric studies on various plates in different boundary conditions, addressing the influenc...

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Main Authors: Wensheng Wang, Sier Deng, Song Zhang, Da Geng
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2018/6528071
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author Wensheng Wang
Sier Deng
Song Zhang
Da Geng
author_facet Wensheng Wang
Sier Deng
Song Zhang
Da Geng
author_sort Wensheng Wang
collection DOAJ
description Vibration analysis and optimization of a rectangular plate with a flanging hyperellipse cutout is investigated in this paper, numerically. In the analysis, finite element method (FEM) is applied to perform parametric studies on various plates in different boundary conditions, addressing the influence of different cutout parameters (area, shape, flanging height, position, and rotation) on the first- and second-order natural frequencies of the rectangular plate and providing references for the optimum frequency design. Then, maximization of frequency or the difference of two consecutive frequencies of the rectangular plate is carried out using Multi-island Genetic Algorithm, aiming to achieve the best dynamic characteristics. The results show that different cutout parameters have great influence on vibration performance of the plate, the existing of the flanging increases the out-of-plane stiffness of the plate. Additionally, the nature frequency of the plate has been improved obviously for different models with the optimal design of the cutout.
format Article
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institution Kabale University
issn 1070-9622
1875-9203
language English
publishDate 2018-01-01
publisher Wiley
record_format Article
series Shock and Vibration
spelling doaj-art-8b2cf6c1e6614e1f8fb72ca59bc199462025-02-03T01:07:19ZengWileyShock and Vibration1070-96221875-92032018-01-01201810.1155/2018/65280716528071Vibration Analysis and Optimization of a Rectangular Plate with Flanging Hyperellipse CutoutWensheng Wang0Sier Deng1Song Zhang2Da Geng3Department of Engineering Mechanics, Henan University of Science and Technology, 471023 Luoyang, ChinaSchool of Mechatronics Engineering, Henan University of Science and Technology, 471023 Luoyang, ChinaChangzhou NRB Corporation, 213022 Changzhou, ChinaDepartment of Engineering Mechanics, Dalian University of Technology, 116023 Dalian, ChinaVibration analysis and optimization of a rectangular plate with a flanging hyperellipse cutout is investigated in this paper, numerically. In the analysis, finite element method (FEM) is applied to perform parametric studies on various plates in different boundary conditions, addressing the influence of different cutout parameters (area, shape, flanging height, position, and rotation) on the first- and second-order natural frequencies of the rectangular plate and providing references for the optimum frequency design. Then, maximization of frequency or the difference of two consecutive frequencies of the rectangular plate is carried out using Multi-island Genetic Algorithm, aiming to achieve the best dynamic characteristics. The results show that different cutout parameters have great influence on vibration performance of the plate, the existing of the flanging increases the out-of-plane stiffness of the plate. Additionally, the nature frequency of the plate has been improved obviously for different models with the optimal design of the cutout.http://dx.doi.org/10.1155/2018/6528071
spellingShingle Wensheng Wang
Sier Deng
Song Zhang
Da Geng
Vibration Analysis and Optimization of a Rectangular Plate with Flanging Hyperellipse Cutout
Shock and Vibration
title Vibration Analysis and Optimization of a Rectangular Plate with Flanging Hyperellipse Cutout
title_full Vibration Analysis and Optimization of a Rectangular Plate with Flanging Hyperellipse Cutout
title_fullStr Vibration Analysis and Optimization of a Rectangular Plate with Flanging Hyperellipse Cutout
title_full_unstemmed Vibration Analysis and Optimization of a Rectangular Plate with Flanging Hyperellipse Cutout
title_short Vibration Analysis and Optimization of a Rectangular Plate with Flanging Hyperellipse Cutout
title_sort vibration analysis and optimization of a rectangular plate with flanging hyperellipse cutout
url http://dx.doi.org/10.1155/2018/6528071
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AT songzhang vibrationanalysisandoptimizationofarectangularplatewithflanginghyperellipsecutout
AT dageng vibrationanalysisandoptimizationofarectangularplatewithflanginghyperellipsecutout