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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MDPI AG
2023-05-01
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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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issn | 2076-3417 |
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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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