Estimation of the Complex Dynamic Stiffness of Inflated Rubber Diaphragms in Pneumatic Springs Using Finite Element Method
The accurate modeling of the complex dynamic stiffness of inflated rubber diaphragms in pneumatic springs is necessary for an efficient design of vibration isolation tables for precision instruments, such as optical devices and nano-scale equipment. In addition to pressurized air, rubber diaphragms,...
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MDPI AG
2020-11-01
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Series: | Sensors |
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Online Access: | https://www.mdpi.com/1424-8220/20/23/6728 |
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author | Yun-Ho Shin Jeung-Hoon Lee |
author_facet | Yun-Ho Shin Jeung-Hoon Lee |
author_sort | Yun-Ho Shin |
collection | DOAJ |
description | The accurate modeling of the complex dynamic stiffness of inflated rubber diaphragms in pneumatic springs is necessary for an efficient design of vibration isolation tables for precision instruments, such as optical devices and nano-scale equipment. In addition to pressurized air, rubber diaphragms, essentially employed for the prevention of air leakage, make a significant contribution to the total complex stiffness. To reflect the effect of the dynamic stiffness of the inflated rubber diaphragm on the total complex stiffness during the initial design or design improvement stage, it is desirable to predict the complex stiffness of the inflated rubber diaphragm beforehand. In this paper, an estimation method for the complex stiffness of inflated rubber diaphragms using the commercial finite element method (e.g., ABAQUS) is proposed. The proposed method reflects their dynamic characteristics under the large static deformation by the Mooney–Rivlin and Morman’s constitutive equations. The results of comparison with experimental results indicate that the predictions obtained by the proposed method are congruent with the experimental values of the diaphragm. |
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institution | Directory Open Access Journal |
issn | 1424-8220 |
language | English |
last_indexed | 2024-03-10T14:35:34Z |
publishDate | 2020-11-01 |
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series | Sensors |
spelling | doaj.art-0be4003d064b415892fcda972b82ac412023-11-20T22:13:12ZengMDPI AGSensors1424-82202020-11-012023672810.3390/s20236728Estimation of the Complex Dynamic Stiffness of Inflated Rubber Diaphragms in Pneumatic Springs Using Finite Element MethodYun-Ho Shin0Jeung-Hoon Lee1Department of Safety Engineering/Big Data, Chungbuk National University, Seowon-gu, Cheongju 28644, KoreaSchool of Mechanical Engineering, Changwon National University, Uichang-gu, Changwon 51140, KoreaThe accurate modeling of the complex dynamic stiffness of inflated rubber diaphragms in pneumatic springs is necessary for an efficient design of vibration isolation tables for precision instruments, such as optical devices and nano-scale equipment. In addition to pressurized air, rubber diaphragms, essentially employed for the prevention of air leakage, make a significant contribution to the total complex stiffness. To reflect the effect of the dynamic stiffness of the inflated rubber diaphragm on the total complex stiffness during the initial design or design improvement stage, it is desirable to predict the complex stiffness of the inflated rubber diaphragm beforehand. In this paper, an estimation method for the complex stiffness of inflated rubber diaphragms using the commercial finite element method (e.g., ABAQUS) is proposed. The proposed method reflects their dynamic characteristics under the large static deformation by the Mooney–Rivlin and Morman’s constitutive equations. The results of comparison with experimental results indicate that the predictions obtained by the proposed method are congruent with the experimental values of the diaphragm.https://www.mdpi.com/1424-8220/20/23/6728complex dynamic stiffnessdiaphragmpneumatic spring |
spellingShingle | Yun-Ho Shin Jeung-Hoon Lee Estimation of the Complex Dynamic Stiffness of Inflated Rubber Diaphragms in Pneumatic Springs Using Finite Element Method Sensors complex dynamic stiffness diaphragm pneumatic spring |
title | Estimation of the Complex Dynamic Stiffness of Inflated Rubber Diaphragms in Pneumatic Springs Using Finite Element Method |
title_full | Estimation of the Complex Dynamic Stiffness of Inflated Rubber Diaphragms in Pneumatic Springs Using Finite Element Method |
title_fullStr | Estimation of the Complex Dynamic Stiffness of Inflated Rubber Diaphragms in Pneumatic Springs Using Finite Element Method |
title_full_unstemmed | Estimation of the Complex Dynamic Stiffness of Inflated Rubber Diaphragms in Pneumatic Springs Using Finite Element Method |
title_short | Estimation of the Complex Dynamic Stiffness of Inflated Rubber Diaphragms in Pneumatic Springs Using Finite Element Method |
title_sort | estimation of the complex dynamic stiffness of inflated rubber diaphragms in pneumatic springs using finite element method |
topic | complex dynamic stiffness diaphragm pneumatic spring |
url | https://www.mdpi.com/1424-8220/20/23/6728 |
work_keys_str_mv | AT yunhoshin estimationofthecomplexdynamicstiffnessofinflatedrubberdiaphragmsinpneumaticspringsusingfiniteelementmethod AT jeunghoonlee estimationofthecomplexdynamicstiffnessofinflatedrubberdiaphragmsinpneumaticspringsusingfiniteelementmethod |