Nonlinear Vibration of a Multi-Degree-of-Freedom Gear Transmission System With Multipiecewise Linear Functions
| dc.contributor.author | Liao, Fulin | |
| dc.contributor.author | Huang, Jianliang | |
| dc.contributor.author | Zhu, Weidong | |
| dc.date.accessioned | 2023-03-03T17:29:48Z | |
| dc.date.available | 2023-03-03T17:29:48Z | |
| dc.date.issued | 2023-03-02 | |
| dc.description.abstract | Periodic and period-doubling vibrations in a gear transmission system subjected to forced excitations with multipiecewise linear functions are investigated in this work by using the incremental harmonic balance (IHB) method. The nonlinear ordinary differential equations that govern vibration of the gear transmission system are formulated by employing the Newton's second law. Analytical results reveal abundant interesting phenomena, including jumps, bifurcations, softening-spring behaviors, and primary, super-harmonic, and subharmonic resonances, which have not been exhibited in existing investigations on nonlinear vibrations of gear transmission systems. Nonlinear phenomena and resonances of the gear transmission system are revealed by considering different numbers of degrees-of-freedom of the system. The bifurcations containing saddle-node, period-doubling, and Hopf bifurcations are observed in frequency response curves. The period-doubling phenomena are characterized by phase-plane diagrams and Fourier spectra. Further, analytical results obtained by the IHB method match very well with those from numerical integration. | en_US |
| dc.description.sponsorship | National Natural Science Foundation of China (Grant Nos. 11972381 and 11772100; Funder ID: 10.13039/ 501100001809). Guangdong Basic and Applied Basic Research Foundation (Grant No. 2022A1515011809; Funder ID: 10.13039/ 501100007162). | |
| dc.description.uri | https://asmedigitalcollection.asme.org/computationalnonlinear/article-abstract/18/4/041003/1156639/Nonlinear-Vibration-of-a-Multi-Degree-of-Freedom?redirectedFrom=fulltext | en_US |
| dc.format.extent | 15 pages | |
| dc.genre | journal articles | en_US |
| dc.genre | postprints | en_US |
| dc.identifier | doi:10.13016/m2preu-s1ab | |
| dc.identifier.citation | Liao, F., Huang, J., and Zhu, W. (February 7, 2023). "Nonlinear Vibration of a Multi-Degree-of-Freedom Gear Transmission System with Multi-Piecewise Linear Functions." ASME. J. Comput. Nonlinear Dynam. doi: https://doi.org/10.1115/1.4056850 | en_US |
| dc.identifier.uri | https://doi.org/10.1115/1.4056850 | |
| dc.identifier.uri | http://hdl.handle.net/11603/26943 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | ASME | en_US |
| dc.relation.isAvailableAt | The University of Maryland, Baltimore County (UMBC) | |
| dc.relation.ispartof | UMBC Mechanical Engineering Department Collection | |
| dc.relation.ispartof | UMBC Faculty Collection | |
| dc.rights | Published by ASME. Commercial use only | en_US |
| dc.title | Nonlinear Vibration of a Multi-Degree-of-Freedom Gear Transmission System With Multipiecewise Linear Functions | en_US |
| dc.type | Text | en_US |
| dcterms.creator | https://orcid.org/0000-0003-2707-2533 | en_US |