Free Vibration Characteristics Analysis of Metal-Rubber Cylindrical Shells Based on Viscoelastic Theory

The cylindrical shell made of metal rubber has a strong ability to reduce and absorb vibration, which widens its application in the industrial field. Therefore, it is of great significance to study the vibration characteristics of metal-rubber cylindrical shells (MRCSs). However, there is relatively...

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Main Authors: Yan Bai, Pengfei Deng, Ke Fu, He Li
Format: Article
Language:English
Published: MDPI AG 2023-05-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/13/10/6085
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author Yan Bai
Pengfei Deng
Ke Fu
He Li
author_facet Yan Bai
Pengfei Deng
Ke Fu
He Li
author_sort Yan Bai
collection DOAJ
description The cylindrical shell made of metal rubber has a strong ability to reduce and absorb vibration, which widens its application in the industrial field. Therefore, it is of great significance to study the vibration characteristics of metal-rubber cylindrical shells (MRCSs). However, there is relatively little research on this aspect. Based on this, the dynamic properties of MRCS are investigated in this paper based on viscoelastic theory, the Rayleigh–Ritz method, and the Gram–Schmidt orthogonal polynomials. The correctness of the proposed model was verified by comparison with the literature and experimental verification. The results show that the preloading state and boundary conditions have significant effects on the natural frequency and modal loss factor of MRCS. The effect of the Pasternak elastic foundation on the natural frequency and modal loss factor of MRCS varies with the change of the axial half wave number <i>m</i>. The effect of the Pasternak elastic foundation on higher-order vibrations is similar to that of the artificial spring technique.
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spelling doaj.art-692f092b63a04e04b0f5b6de540a2df72023-11-18T00:20:20ZengMDPI AGApplied Sciences2076-34172023-05-011310608510.3390/app13106085Free Vibration Characteristics Analysis of Metal-Rubber Cylindrical Shells Based on Viscoelastic TheoryYan Bai0Pengfei Deng1Ke Fu2He Li3School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, ChinaSchool of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, ChinaSchool of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, ChinaSchool of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, ChinaThe cylindrical shell made of metal rubber has a strong ability to reduce and absorb vibration, which widens its application in the industrial field. Therefore, it is of great significance to study the vibration characteristics of metal-rubber cylindrical shells (MRCSs). However, there is relatively little research on this aspect. Based on this, the dynamic properties of MRCS are investigated in this paper based on viscoelastic theory, the Rayleigh–Ritz method, and the Gram–Schmidt orthogonal polynomials. The correctness of the proposed model was verified by comparison with the literature and experimental verification. The results show that the preloading state and boundary conditions have significant effects on the natural frequency and modal loss factor of MRCS. The effect of the Pasternak elastic foundation on the natural frequency and modal loss factor of MRCS varies with the change of the axial half wave number <i>m</i>. The effect of the Pasternak elastic foundation on higher-order vibrations is similar to that of the artificial spring technique.https://www.mdpi.com/2076-3417/13/10/6085metal rubbermedium thickness cylindrical shellRayleigh–Ritz methodfirst-order shear deformation theoryGram–Schmidt orthogonal polynomialviscoelastic theory
spellingShingle Yan Bai
Pengfei Deng
Ke Fu
He Li
Free Vibration Characteristics Analysis of Metal-Rubber Cylindrical Shells Based on Viscoelastic Theory
Applied Sciences
metal rubber
medium thickness cylindrical shell
Rayleigh–Ritz method
first-order shear deformation theory
Gram–Schmidt orthogonal polynomial
viscoelastic theory
title Free Vibration Characteristics Analysis of Metal-Rubber Cylindrical Shells Based on Viscoelastic Theory
title_full Free Vibration Characteristics Analysis of Metal-Rubber Cylindrical Shells Based on Viscoelastic Theory
title_fullStr Free Vibration Characteristics Analysis of Metal-Rubber Cylindrical Shells Based on Viscoelastic Theory
title_full_unstemmed Free Vibration Characteristics Analysis of Metal-Rubber Cylindrical Shells Based on Viscoelastic Theory
title_short Free Vibration Characteristics Analysis of Metal-Rubber Cylindrical Shells Based on Viscoelastic Theory
title_sort free vibration characteristics analysis of metal rubber cylindrical shells based on viscoelastic theory
topic metal rubber
medium thickness cylindrical shell
Rayleigh–Ritz method
first-order shear deformation theory
Gram–Schmidt orthogonal polynomial
viscoelastic theory
url https://www.mdpi.com/2076-3417/13/10/6085
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AT pengfeideng freevibrationcharacteristicsanalysisofmetalrubbercylindricalshellsbasedonviscoelastictheory
AT kefu freevibrationcharacteristicsanalysisofmetalrubbercylindricalshellsbasedonviscoelastictheory
AT heli freevibrationcharacteristicsanalysisofmetalrubbercylindricalshellsbasedonviscoelastictheory