Bifurcation and chaos analysis of a gear-rotor-bearing system

• Autorzy: Gou X. , Zhu L. , Qi C.

Identyfikatory

DOI

10.15632/jtam-pl.56.3.585

• Języki publikacji: EN

Abstrakty

EN

To study chaos and bifurcation of a gear system, a five-degree-of-freedom nonlinear dynamic model of a gear-rotor-bearing system is established. It consists of a gear pair, supporting shafts, bearings and other auxiliary components. The effects of frequency, backlash, bearing clearance, comprehensive transmission error and stiffness on nonlinear dynamics of the system are investigated according to bifurcation diagrams, phase portraits and Poincar´e maps by a numerical method. Some nonlinear phenomena such as grazing bifurcation, Hopf bifurcation, inverse-Hopf bifurcation, chaos and coexistence of attractors are investigated. Different grazing bifurcations and their causes are discussed. The critical parameters are identified, too.

Słowa kluczowe

EN

gear-rotor-bearing; dynamics; bifurcation; chaos

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2018
• Tom: Vol. 56 nr 3
• Strony: 585--599
• Opis fizyczny: Bibliogr. 12 poz., rys., tab.

Twórcy

autor

Gou X.

• School of Mechanical Engineering, Tianjin Polytechnic University, Tianjin, China Tianjin Key Laboratory of Advanced Mechatronics Equipment Technology, Tianjin, China School of Mechanical Engineering, Lanzhou Jiaotong University, Lanzhou, China

autor

Zhu L.

• School of Mechanical Engineering, Tianjin Polytechnic University, Tianjin, China School of Mechanical Engineering, Lanzhou Jiaotong University, Lanzhou, China

autor

Qi C.

• School of Mechanical Engineering, Lanzhou Jiaotong University, Lanzhou, China

Bibliografia

• 1. Chang-Jian C.J., 2010a, Non-linear dynamic analysis of a HSFD mounted gear-bearing system, Nonlinear Dynamics, 62, 333-347
• 2. Chang-Jian C.J., 2010b, Strong nonlinearity analysis for gear-bearing system under nonlinear suspension – bifurcation and chaos, Nonlinear Analysis: Real World Applications, 11, 1760-1774
• 3. Chang-Jian C.J., Chang S.M., 2012a, Bifurcation and chaos analysis of the porous squeeze film damper mounted gear-bearing system, Computers and Mathematics with Applications, 64, 5, 798-812
• 4. Chang-Jian C.J., Chang S.M., 2012b, Chaotic responses on gear pair system equipped with journal bearings under turbulent flow, Applied Mathematical Modelling, 36, 6, 2600-2613
• 5. Chen S.Y., Tang J.Y., Luo C.W., 2011, Nonlinear dynamic characteristics of geared rotor bearing systems with dynamic backlash and friction, Mechanism and Machine Theory, 46, 4, 466-478
• 6. Choi S.T., Mau S.Y., 2001, Dynamic analysis of geared rotor-bearing systems by the transfer matrix method, Journal of Mechanical Design, 123, 562-579
• 7. Cui Y.H., Liu Z.S., Wang Y.L., 2012, Nonlinear dynamic of a geared rotor system with nonlinear oil film force and nonlinear mesh force, Journal of Vibration and Acoustics, Transactions of the ASME, 134, 4, 1313-1320
• 8. Kahraman A., Singh R., 1990, Non-linear dynamics of a spur gear pair, Journal of Sound and Vibration, 142, 1, 49-75
• 9. Kahraman A., Singh R., 1991, Non-linear dynamics of a geared rotor-bearing system with multiple clearances, Journal of Sound and Vibration, 144, 3, 135-156
• 10. Ranghothama A., Narayanan S., 1999, Bifurcation and chaos in geared rotor bearing system by incremental harmonic balance method, Journal of Sound and Vibration, 226, 3, 469-492
• 11. Theodossiades S., Natsiavas S., 2001, On geared rotor dynamic systems with oil journal bearings, Journal of Sound and Vibration, 243, 4, 721-745
• 12. Xiang L., Jia Y., Hu A., 2016, Bifurcation and chaos analysis for multi-freedom gear-bearing system with time-varying stiffness, Applied Mathematical Modelling, 40, 10506-10520

Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).