Dynamic modeling of a gear transmission system containing damping particles using coupled multi-body dynamics and discrete element method
The reduction in vibration in gear transmission systems is an engineering task. Particle damping technology attenuates vibration by means of friction and inelastic collisions between damping particles. This study proposes a dynamic model for a spur gear transmission system that contains damping part...
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Veröffentlicht in: | Nonlinear dynamics 2019-10, Vol.98 (1), p.129-149 |
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description | The reduction in vibration in gear transmission systems is an engineering task. Particle damping technology attenuates vibration by means of friction and inelastic collisions between damping particles. This study proposes a dynamic model for a spur gear transmission system that contains damping particles inside the holes on gear bodies, using two-way coupling with multi-body dynamics and discrete element method. The equations of motion for the multi-body system are derived using Euler–Lagrange formalism. The discrete element method with a soft contact approach is used to model the dynamic behavior of damping particles. Hertzian contact theory and Coulomb friction theory are applied to modeling contacts. The effects of particle radius, coefficient of friction and restitution coefficient on the dynamic characteristics are explored. Numerical results show that vibration in the transmission is appreciably attenuated by the particle damping mechanism and that the contact friction, and not contact damping, dominates the energy dissipation of the multi-body system in such a centrifugal scenario. |
doi_str_mv | 10.1007/s11071-019-05177-1 |
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Particle damping technology attenuates vibration by means of friction and inelastic collisions between damping particles. This study proposes a dynamic model for a spur gear transmission system that contains damping particles inside the holes on gear bodies, using two-way coupling with multi-body dynamics and discrete element method. The equations of motion for the multi-body system are derived using Euler–Lagrange formalism. The discrete element method with a soft contact approach is used to model the dynamic behavior of damping particles. Hertzian contact theory and Coulomb friction theory are applied to modeling contacts. The effects of particle radius, coefficient of friction and restitution coefficient on the dynamic characteristics are explored. Numerical results show that vibration in the transmission is appreciably attenuated by the particle damping mechanism and that the contact friction, and not contact damping, dominates the energy dissipation of the multi-body system in such a centrifugal scenario.</description><identifier>ISSN: 0924-090X</identifier><identifier>EISSN: 1573-269X</identifier><identifier>DOI: 10.1007/s11071-019-05177-1</identifier><language>eng</language><publisher>Dordrecht: Springer Netherlands</publisher><subject>Automotive Engineering ; Classical Mechanics ; Coefficient of friction ; Control ; Coulomb friction ; Discrete element method ; Dynamic characteristics ; Dynamic models ; Dynamical Systems ; Energy dissipation ; Engineering ; Equations of motion ; Friction ; Inelastic collisions ; Mechanical Engineering ; Multibody systems ; Original Paper ; Spur gears ; Vibration ; Vibration damping</subject><ispartof>Nonlinear dynamics, 2019-10, Vol.98 (1), p.129-149</ispartof><rights>Springer Nature B.V. 2019</rights><rights>Nonlinear Dynamics is a copyright of Springer, (2019). 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Particle damping technology attenuates vibration by means of friction and inelastic collisions between damping particles. This study proposes a dynamic model for a spur gear transmission system that contains damping particles inside the holes on gear bodies, using two-way coupling with multi-body dynamics and discrete element method. The equations of motion for the multi-body system are derived using Euler–Lagrange formalism. The discrete element method with a soft contact approach is used to model the dynamic behavior of damping particles. Hertzian contact theory and Coulomb friction theory are applied to modeling contacts. The effects of particle radius, coefficient of friction and restitution coefficient on the dynamic characteristics are explored. Numerical results show that vibration in the transmission is appreciably attenuated by the particle damping mechanism and that the contact friction, and not contact damping, dominates the energy dissipation of the multi-body system in such a centrifugal scenario.</description><subject>Automotive Engineering</subject><subject>Classical Mechanics</subject><subject>Coefficient of friction</subject><subject>Control</subject><subject>Coulomb friction</subject><subject>Discrete element method</subject><subject>Dynamic characteristics</subject><subject>Dynamic models</subject><subject>Dynamical Systems</subject><subject>Energy dissipation</subject><subject>Engineering</subject><subject>Equations of motion</subject><subject>Friction</subject><subject>Inelastic collisions</subject><subject>Mechanical Engineering</subject><subject>Multibody systems</subject><subject>Original Paper</subject><subject>Spur gears</subject><subject>Vibration</subject><subject>Vibration damping</subject><issn>0924-090X</issn><issn>1573-269X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNp9kMGKFDEURYM4YDszPzCrgOvoS9KVVC1l1FEYcKMwu5BKUm2GSlLmpRb9Cf611ZbgztXlwbn3wSHkjsNbDqDfIeegOQM-MOi41oy_IAfeacmEGp5ekgMM4shggKdX5DXiMwBIAf2B_PpwzjZFR1PxYY75RMtELT0FW2mrNmOKiLFkimdsIVFXcrMxX0Bv03LJxdYW3RyQrni5XVmXOXia1rlFNhZ_pn5_gtRmT31EV0MLNMwhhdxoCu1H8TfkarIzhtu_eU2-f_r47f4ze_z68OX-_SNzkg-NcT-OMOjeceGlmrRVWjgxikm50QY_6sEej7zrpZZCadlx1Sk3uE6N0CnoR3lN3uy7Sy0_14DNPJe15u2lEUKLYy-Ego0SO-VqQaxhMkuNydaz4WAuys2u3GzKzR_lhm8luZdwg_Mp1H_T_2n9BuHchtM</recordid><startdate>20191001</startdate><enddate>20191001</enddate><creator>Chung, Yun-Chi</creator><creator>Wu, Yu-Ren</creator><general>Springer Netherlands</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>AFKRA</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PTHSS</scope></search><sort><creationdate>20191001</creationdate><title>Dynamic modeling of a gear transmission system containing damping particles using coupled multi-body dynamics and discrete element method</title><author>Chung, Yun-Chi ; 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Particle damping technology attenuates vibration by means of friction and inelastic collisions between damping particles. This study proposes a dynamic model for a spur gear transmission system that contains damping particles inside the holes on gear bodies, using two-way coupling with multi-body dynamics and discrete element method. The equations of motion for the multi-body system are derived using Euler–Lagrange formalism. The discrete element method with a soft contact approach is used to model the dynamic behavior of damping particles. Hertzian contact theory and Coulomb friction theory are applied to modeling contacts. The effects of particle radius, coefficient of friction and restitution coefficient on the dynamic characteristics are explored. Numerical results show that vibration in the transmission is appreciably attenuated by the particle damping mechanism and that the contact friction, and not contact damping, dominates the energy dissipation of the multi-body system in such a centrifugal scenario.</abstract><cop>Dordrecht</cop><pub>Springer Netherlands</pub><doi>10.1007/s11071-019-05177-1</doi><tpages>21</tpages></addata></record> |
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subjects | Automotive Engineering Classical Mechanics Coefficient of friction Control Coulomb friction Discrete element method Dynamic characteristics Dynamic models Dynamical Systems Energy dissipation Engineering Equations of motion Friction Inelastic collisions Mechanical Engineering Multibody systems Original Paper Spur gears Vibration Vibration damping |
title | Dynamic modeling of a gear transmission system containing damping particles using coupled multi-body dynamics and discrete element method |
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