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,...

Full description

Bibliographic Details
Main Authors: Yun-Ho Shin, Jeung-Hoon Lee
Format: Article
Language:English
Published: MDPI AG 2020-11-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/20/23/6728
_version_ 1797546819526328320
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.
first_indexed 2024-03-10T14:35:34Z
format Article
id doaj.art-0be4003d064b415892fcda972b82ac41
institution Directory Open Access Journal
issn 1424-8220
language English
last_indexed 2024-03-10T14:35:34Z
publishDate 2020-11-01
publisher MDPI AG
record_format Article
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