Construction of the numerical model of the viscoelastic properties in a passive damping device consisting of an embedded mass in viscoelastic material and experimental investigation of the device's multi-modal damping effect
This paper describes the construction of the numerical model of a passive damping device called eMDVA (embedded Mass Dynamic Vibration Absorber) and experimental investigation of the eMDVA's multi-modal damping effect for elastic vibrations of a plate-like structure. The eMDVA consists of a bal...
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| Published in | Kikai Gakkai ronbunshū = Transactions of the Japan Society of Mechanical Engineers Vol. 90; no. 936; p. 24-00018 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | Japanese |
| Published |
The Japan Society of Mechanical Engineers
2024
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| Subjects | |
| Online Access | Get full text |
| ISSN | 2187-9761 2187-9761 |
| DOI | 10.1299/transjsme.24-00018 |
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| Abstract | This paper describes the construction of the numerical model of a passive damping device called eMDVA (embedded Mass Dynamic Vibration Absorber) and experimental investigation of the eMDVA's multi-modal damping effect for elastic vibrations of a plate-like structure. The eMDVA consists of a ball-like mass embedded in a viscoelastic medium; and the mass can vibrate in every direction. When the thickness of the viscoelastic medium differs in the X, Y, and Z directions, the ball-like mass has different natural frequencies for every vibration direction. An appropriate numerical model that can predict these natural frequencies correctly is needed to design the eMDVA; in particular, defining the viscoelastic properties is an important and challenging subject. In this work, the Prony series is used to express the viscoelastic material, and the setting process of the coefficients in the Prony series is studied. It has been shown that using a sufficient number of terms in the Prony series and using sufficient measurement data to define their coefficient leads to good results in expressing the viscoelastic material. Using the constructed viscoelastic model, vibration characteristics of the eMDVA, such as the change of the natural frequencies versus the viscoelastic material's shape change and frequency response characteristics, are investigated numerically using a commercial finite element software Ansys. After that, an eMDVA is produced and applied to a plate-like elastic structure. A series of excitation tests are conducted, and the multi-mode vibration reduction effect by the eMDVA has been demonstrated. |
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| AbstractList | This paper describes the construction of the numerical model of a passive damping device called eMDVA (embedded Mass Dynamic Vibration Absorber) and experimental investigation of the eMDVA's multi-modal damping effect for elastic vibrations of a plate-like structure. The eMDVA consists of a ball-like mass embedded in a viscoelastic medium; and the mass can vibrate in every direction. When the thickness of the viscoelastic medium differs in the X, Y, and Z directions, the ball-like mass has different natural frequencies for every vibration direction. An appropriate numerical model that can predict these natural frequencies correctly is needed to design the eMDVA; in particular, defining the viscoelastic properties is an important and challenging subject. In this work, the Prony series is used to express the viscoelastic material, and the setting process of the coefficients in the Prony series is studied. It has been shown that using a sufficient number of terms in the Prony series and using sufficient measurement data to define their coefficient leads to good results in expressing the viscoelastic material. Using the constructed viscoelastic model, vibration characteristics of the eMDVA, such as the change of the natural frequencies versus the viscoelastic material's shape change and frequency response characteristics, are investigated numerically using a commercial finite element software Ansys. After that, an eMDVA is produced and applied to a plate-like elastic structure. A series of excitation tests are conducted, and the multi-mode vibration reduction effect by the eMDVA has been demonstrated. |
| ArticleNumber | 24-00018 |
| Author | ISHIZAWA, Hikaru TODA, Yuma TOMIOKA, Takahiro |
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| Cites_doi | 10.1299/kikaic.73.461 10.1299/transjsme.22-00018 10.23967/j.rimni.2018.09.002 10.1299/kikaic.79.2298 10.3130/aija.66.23_4 10.1299/jsmedmc.2005._362-1_ 10.1080/00423114.2017.1294698 10.5346/trbane.2020.69 10.1299/transjsme.16-00342 10.1299/mej.21-00145 10.1016/j.jsv.2015.01.001 10.1016/S0020-7683(98)00055-9 |
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| References | Japanese Standards Association, Japanese Industrial Standard JIS E 7103, Rolling stock-General requirements of carbody for passenger car, (2006) (in Japanese). Tomioka, T. and Higuchi, K., Proposal and numerical feasibility study of a novel multi-modal and multi-axis dynamic vibration absorber consists of spherical viscoelastic material containing embedded ball-like mass, Mechanical Engineering Journal, 8-4(2021), DOI:10.1299/mej.21-00145. Tomioka, T., Takigami, T., Aida, K. and Akiyama, Y., Damping effect due to passengers on flexural vibrations of railway vehicle carbodies and a simplified modeling to develop vibration reduction devises utilizing the effect of passengers, Transactions of the Japan Society of Mechanical Engineers, Series C, Vol.79, No.803 (2013), pp.2298-2312 (in Japanese). ANSYS, Inc., Mechanical APDL 2021 R2. Material Reference. CHAPTER 4: NONLINEAR MATERIAL PROPERTIES. 4.7. Viscoelasticity (2021). Den Hartog, J.P., Mechanical Vibrations, Third Edition (1947), McGraw-Hill. Kobayashi, M., Shioda, M. and Yamashita, M., Experimental research on prediction structure-borne sound due to the environmental ground vibration, The Architectural Institute of Japan’s Journal of Architecture and Planning aim to pursue theories for building and maintaining pieces of architecture, Vol.66, No.542 (2001), pp.23-28 (in Japanese). Netzband, D., DMA2PRONY_OPT, available from MATLAB Central File Exchange <https://jp.mathworks.com/matlabcentral/fileexchange/68710-dma2prony_opt>, (accessed on 1 May, 2023). Tomioka, T., Takigami, T. and Aida, K., Experimental investigations on the damping effect due to passengers on flexural vibrations of railway vehicle carbody and basic studies on the mimicry of the effect, Vehicle System Dynamics, Vol.55-7 (2017a), pp.995-1011. Asami, T., Mizukawa, Y. and Yamada, K., Optimal design of a hysteretically damped dynamic vibration absorber, Transactions of Japan Society of Spring Engineers, Vol.65, (2020), pp.69-79 (in Japanese). Japanese Standards Association, Japanese Industrial Standard JIS E 7106, Rolling stock-Car body structure for passenger cars-General rules for design, (2018) (in Japanese). Wang, F., Wei, Z. and Xu, B., Damping performance of viscoelastic material applied to blades, Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería, 35-1(2019), 9. Ishizawa, H. and Tomioka, T., Vibration characteristic design of a multi-model and multi-axis dynamic vibration absorber consists of viscoelastic material containing embedded ball-like mass, Transactions of the JSME (in Japanese), Vol.88, No.910 (2022), pp. 22-00018, DOI: 10.1299/transjsme.22-00018. Okuma, M., Jeon, J., Nakura, Y. and Nakahara, T., Optimization of Thin Bending and PZT Shunt Circuit to Reduce Radiated Noise of Panel, Proceedings of Dynamics and Design Conference 2005, No.05-15(2005), 362(in Japanese). Seto, K., Dynamic vibration absorber and its applications (2010), CORONA PUBLISHING CO., LTD (in Japanese). Aida, K., Tomioka, T., Takigami, T. and Akiyama, Y., Influence of the flexural vibration on the vertical vibration of a railway vehicle carbody at running, Proceedings of Dynamics and Design Conference 2015, No.15-7 (2015), 734 (in Japanese). Akiyama, Y., Tomioka, T. and Takigami, T., Multi-modal vibration control of flexural vibrations in railway vehicle carbodies using compact active mass dampers, RTRI Report, 27, 12 (2013), pp.11-16 (in Japanese). Tomioka, T., Tachikawa, S., Akiyama, Y. and Aida, K., Reduction of flexural vibration of railway vehicle carbody by using elastic torus (Validation of vibration reduction effect using actual railway vehicleand numerical investigations on the vibration reduction mechanism), Transactions of the JSME (in Japanese) Vol.83, No.846 (2017b), DOI:10.1299/transjsme.16-00342. Yamada, K., Matsuhisa, H. and Utsuno, H., Hybrid Vibration Suppression of Multiple Vibrational Modes of Flexible Structures Using Piezoelectric Elements, Transactions of the Japan Society of Mechanical Engineers, Series C, Vol.73, No.726 (2007), pp.461-469 (in Japanese). Parka, S.W. and Schapery, R.A., Methods of interconversion between linear viscoelastic material functions. Part I－a numerical method based on Prony series, International Journal of Solids and Structures, Vol.36, Issue11 (1999), pp.1653-1675. Akiyama, Y., Takigami, T. and Aida, K., Improvement of performance of active mass damper for reducing car body elastic vibration, RTRI Report, 33, 3 (2019), pp.41-46 (in Japanese). Tomioka, T. and Takigami, T., Experimental and numerical study on the effect due to passengers on flexural vibrations in railway vehicle carbodies, Journal of Sound and Vibration, 343 (2015), pp.1-19. 11 12 13 14 15 16 17 18 19 1 2 3 4 5 6 7 8 9 20 10 21 |
| References_xml | – reference: Ishizawa, H. and Tomioka, T., Vibration characteristic design of a multi-model and multi-axis dynamic vibration absorber consists of viscoelastic material containing embedded ball-like mass, Transactions of the JSME (in Japanese), Vol.88, No.910 (2022), pp. 22-00018, DOI: 10.1299/transjsme.22-00018. – reference: Seto, K., Dynamic vibration absorber and its applications (2010), CORONA PUBLISHING CO., LTD (in Japanese). – reference: Akiyama, Y., Tomioka, T. and Takigami, T., Multi-modal vibration control of flexural vibrations in railway vehicle carbodies using compact active mass dampers, RTRI Report, 27, 12 (2013), pp.11-16 (in Japanese). – reference: Akiyama, Y., Takigami, T. and Aida, K., Improvement of performance of active mass damper for reducing car body elastic vibration, RTRI Report, 33, 3 (2019), pp.41-46 (in Japanese). – reference: Asami, T., Mizukawa, Y. and Yamada, K., Optimal design of a hysteretically damped dynamic vibration absorber, Transactions of Japan Society of Spring Engineers, Vol.65, (2020), pp.69-79 (in Japanese). – reference: Tomioka, T., Takigami, T., Aida, K. and Akiyama, Y., Damping effect due to passengers on flexural vibrations of railway vehicle carbodies and a simplified modeling to develop vibration reduction devises utilizing the effect of passengers, Transactions of the Japan Society of Mechanical Engineers, Series C, Vol.79, No.803 (2013), pp.2298-2312 (in Japanese). – reference: Netzband, D., DMA2PRONY_OPT, available from MATLAB Central File Exchange <https://jp.mathworks.com/matlabcentral/fileexchange/68710-dma2prony_opt>, (accessed on 1 May, 2023). – reference: Tomioka, T. and Higuchi, K., Proposal and numerical feasibility study of a novel multi-modal and multi-axis dynamic vibration absorber consists of spherical viscoelastic material containing embedded ball-like mass, Mechanical Engineering Journal, 8-4(2021), DOI:10.1299/mej.21-00145. – reference: Yamada, K., Matsuhisa, H. and Utsuno, H., Hybrid Vibration Suppression of Multiple Vibrational Modes of Flexible Structures Using Piezoelectric Elements, Transactions of the Japan Society of Mechanical Engineers, Series C, Vol.73, No.726 (2007), pp.461-469 (in Japanese). – reference: Okuma, M., Jeon, J., Nakura, Y. and Nakahara, T., Optimization of Thin Bending and PZT Shunt Circuit to Reduce Radiated Noise of Panel, Proceedings of Dynamics and Design Conference 2005, No.05-15(2005), 362(in Japanese). – reference: Parka, S.W. and Schapery, R.A., Methods of interconversion between linear viscoelastic material functions. Part I－a numerical method based on Prony series, International Journal of Solids and Structures, Vol.36, Issue11 (1999), pp.1653-1675. – reference: Wang, F., Wei, Z. and Xu, B., Damping performance of viscoelastic material applied to blades, Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería, 35-1(2019), 9. – reference: Kobayashi, M., Shioda, M. and Yamashita, M., Experimental research on prediction structure-borne sound due to the environmental ground vibration, The Architectural Institute of Japan’s Journal of Architecture and Planning aim to pursue theories for building and maintaining pieces of architecture, Vol.66, No.542 (2001), pp.23-28 (in Japanese). – reference: Tomioka, T. and Takigami, T., Experimental and numerical study on the effect due to passengers on flexural vibrations in railway vehicle carbodies, Journal of Sound and Vibration, 343 (2015), pp.1-19. – reference: Tomioka, T., Takigami, T. and Aida, K., Experimental investigations on the damping effect due to passengers on flexural vibrations of railway vehicle carbody and basic studies on the mimicry of the effect, Vehicle System Dynamics, Vol.55-7 (2017a), pp.995-1011. – reference: Japanese Standards Association, Japanese Industrial Standard JIS E 7106, Rolling stock-Car body structure for passenger cars-General rules for design, (2018) (in Japanese). – reference: Tomioka, T., Tachikawa, S., Akiyama, Y. and Aida, K., Reduction of flexural vibration of railway vehicle carbody by using elastic torus (Validation of vibration reduction effect using actual railway vehicleand numerical investigations on the vibration reduction mechanism), Transactions of the JSME (in Japanese) Vol.83, No.846 (2017b), DOI:10.1299/transjsme.16-00342. – reference: Den Hartog, J.P., Mechanical Vibrations, Third Edition (1947), McGraw-Hill. – reference: ANSYS, Inc., Mechanical APDL 2021 R2. Material Reference. CHAPTER 4: NONLINEAR MATERIAL PROPERTIES. 4.7. Viscoelasticity (2021). – reference: Aida, K., Tomioka, T., Takigami, T. and Akiyama, Y., Influence of the flexural vibration on the vertical vibration of a railway vehicle carbody at running, Proceedings of Dynamics and Design Conference 2015, No.15-7 (2015), 734 (in Japanese). – reference: Japanese Standards Association, Japanese Industrial Standard JIS E 7103, Rolling stock-General requirements of carbody for passenger car, (2006) (in Japanese). – ident: 2 – ident: 3 – ident: 4 – ident: 21 doi: 10.1299/kikaic.73.461 – ident: 7 doi: 10.1299/transjsme.22-00018 – ident: 1 – ident: 20 doi: 10.23967/j.rimni.2018.09.002 – ident: 19 doi: 10.1299/kikaic.79.2298 – ident: 11 – ident: 10 doi: 10.3130/aija.66.23_4 – ident: 14 – ident: 12 doi: 10.1299/jsmedmc.2005._362-1_ – ident: 17 doi: 10.1080/00423114.2017.1294698 – ident: 5 doi: 10.5346/trbane.2020.69 – ident: 6 – ident: 9 – ident: 18 doi: 10.1299/transjsme.16-00342 – ident: 8 – ident: 15 doi: 10.1299/mej.21-00145 – ident: 16 doi: 10.1016/j.jsv.2015.01.001 – ident: 13 doi: 10.1016/S0020-7683(98)00055-9 |
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| SubjectTerms | Dynamic vibration absorber Elastic vibration Finite Element Method Multi-directional vibration absorber Multi-modal vibration absorber Viscoelastic material |
| Title | Construction of the numerical model of the viscoelastic properties in a passive damping device consisting of an embedded mass in viscoelastic material and experimental investigation of the device's multi-modal damping effect |
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