| Citation: | WEI Zhenhang, WANG Shiyu, WANG Yifan. Parametric vibration analyses of eccentric rotational ring-shaped periodic structures[J]. Journal of Aerospace Power, 2024, 39（11）：20220332 doi: 10.13224/j.cnki.jasp.20220332
|
A dynamic model with time-varying excitation of eccentric rotating structures was established based on Hamilton principle to solve the parametric vibration problem of eccentric rotational ring-shaped periodic structures. The influences of topological structures with different supports and parameter combinations on natural frequency splitting were analyzed. Floquét theory was used to calculate the instability regions for different parameters, and the relationship between the natural frequency splitting and the instability regions was revealed. In addition, the influences of wavenumbers, intergroup angle, and the angle between the radius and rotary supports of grouping topology on the stability were analyzed, based on which a method for improving stability was proposed. The results showed that natural frequencies splitting and the parameter excitation arose when the topology of the rotary supports and wavenumbers met some specific relationships. The parametric instability mainly appeared at the natural frequency and their linear combinations. The instability regions changed periodically with the intergroup angle, and the angle between the radius and rotary supports had different influences on each instability region.
| [1] |
杨建明,张策,林忠钦,等. 行星齿轮传动动力学特性研究进展[J]. 航空动力学报,2003,18(2): 299-304. YANG Jianming,ZHANG Ce,LIN Zhongqin,et al. An extensive review of elasto-dynamics of planetary gear trains[J]. Journal of Aerospace Power,2003,18(2): 299-304. (in Chinese
YANG Jianming, ZHANG Ce, LIN Zhongqin, et al. An extensive review of elasto-dynamics of planetary gear trains[J]. Journal of Aerospace Power, 2003, 18(2): 299-304. (in Chinese)
|
| [2] |
袁雪,张岩松,邱大明,等. 航空发动机转子轴向力动态特征测试技术[J]. 航空动力学报,2021,36(9): 1804-1810. YUAN Xue,ZHANG Yansong,QIU Daming,et al. Test technique for dynamic characteristic of rotor axial force on aero-engine[J]. Journal of Aerospace Power,2021,36(9): 1804-1810. (in Chinese
YUAN Xue, ZHANG Yansong, QIU Daming, et al. Test technique for dynamic characteristic of rotor axial force on aero-engine[J]. Journal of Aerospace Power, 2021, 36(9): 1804-1810. (in Chinese)
|
| [3] |
BADGER J,MURPHY S,O’DONNELL G. The effect of wheel eccentricity and Run-out on grinding forces,waviness,wheel wear and chatter[J]. International Journal of Machine Tools and Manufacture,2011,51(10/11): 766-774.
|
| [4] |
岳二团,甘春标,杨世锡. 气隙偏心下永磁电机转子系统的振动特性分析[J]. 振动与冲击,2014,33(8): 29-34. YUE Ertuan,GAN Chunbiao,YANG Shixi. Vibration characteristics analysis of a rotor for a permanent magnet motor with air-gap eccentricity[J]. Journal of Vibration and Shock,2014,33(8): 29-34. (in Chinese
YUE Ertuan, GAN Chunbiao, YANG Shixi. Vibration characteristics analysis of a rotor for a permanent magnet motor with air-gap eccentricity[J]. Journal of Vibration and Shock, 2014, 33(8): 29-34. (in Chinese)
|
| [5] |
DONÁT M,DUŠEK D. Eccentrically mounted rotor pack and its influence on the vibration and noise of an asynchronous generator[J]. Journal of Sound and Vibration,2015,344: 503-516. doi: 10.1016/j.jsv.2015.01.033
|
| [6] |
HASHEMI M,ASGHARI M. Analytical study of three-dimensional flexural vibration of micro-rotating shafts with eccentricity utilizing the strain gradient theory[J]. Meccanica,2016,51(6): 1435-1444. doi: 10.1007/s11012-015-0302-1
|
| [7] |
LIANG Yongli,XU Lizhong. Coupled dynamics for an electromagnetic harmonic movable-tooth drive system with eccentricity[J]. Applied Mathematical Modelling,2021,90: 703-718. doi: 10.1016/j.apm.2020.09.018
|
| [8] |
CANCHI S V,PARKER R G. Parametric instability of a rotating circular ring with moving,time-varying springs[J]. Journal of Vibration and Acoustics,2006,128(2): 231-243. doi: 10.1115/1.2159040
|
| [9] |
WU Xionghua,PARKER R G. Vibration of rings on a general elastic foundation[J]. Journal of Sound and Vibration,2006,295(1/2): 194-213.
|
| [10] |
ZHANG Xuening,HAN Qinkai,PENG Zhike,et al. Stability analysis of a rotor-bearing system with time-varying bearing stiffness due to finite number of balls and unbalanced force[J]. Journal of Sound and Vibration,2013,332(25): 6768-6784. doi: 10.1016/j.jsv.2013.08.002
|
| [11] |
黄迪山,刘成,张波. 二自由度参数振动自由响应逼近[J]. 振动与冲击,2019,38(13): 13-20. HUANG Dishan,LIU Cheng,ZHANG Bo. Free response approximation of a 2-DOF parametric vibration system[J]. Journal of Vibration and Shock,2019,38(13): 13-20. (in Chinese
HUANG Dishan, LIU Cheng, ZHANG Bo. Free response approximation of a 2-DOF parametric vibration system[J]. Journal of Vibration and Shock, 2019, 38(13): 13-20. (in Chinese)
|
| [12] |
辛健强,王建军. 时变转速下裂纹圆柱壳的参数振动稳定性分析[J]. 航空动力学报,2011,26(10): 2227-2236. XIN Jianqiang,WANG Jianjun. Stability analysis of parametric resonance of a crack cylindrical shell with time-varying rotating speed[J]. Journal of Aerospace Power,2011,26(10): 2227-2236. (in Chinese
XIN Jianqiang, WANG Jianjun. Stability analysis of parametric resonance of a crack cylindrical shell with time-varying rotating speed[J]. Journal of Aerospace Power, 2011, 26(10): 2227-2236. (in Chinese)
|
| [13] |
DAI Qiyi,CAO Qingjie. Parametric instability of rotating cylindrical shells subjected to periodic axial loads[J]. International Journal of Mechanical Sciences,2018,146/147: 1-8. doi: 10.1016/j.ijmecsci.2018.07.031
|
| [14] |
ZHAO Zhifu,WANG Shiyu. Parametric instability of dual-ring structure with motionless and moving supports[J]. Journal of Computational and Nonlinear Dynamics,2016,11(1): 014501.1-014501.9.
|
| [15] |
王姚志豪,汪菲,王世宇,等. 切向内力对偏心旋转圆环自由振动的影响[J]. 振动与冲击,2021,40(17): 7-13. WANG Yaozhihao,WANG Fei,WANG Shiyu,et al. Effects of tangential internal force on free vibration of eccentrically rotating ring[J]. Journal of Vibration and Shock,2021,40(17): 7-13. (in Chinese
WANG Yaozhihao, WANG Fei, WANG Shiyu, et al. Effects of tangential internal force on free vibration of eccentrically rotating ring[J]. Journal of Vibration and Shock, 2021, 40(17): 7-13. (in Chinese)
|
| [16] |
BARBER J R. Force and displacement influence functions for the circular ring[J]. The Journal of Strain Analysis for Engineering Design,1978,13(2): 77-81. doi: 10.1243/03093247V132077
|
| [17] |
HUANG S C,SOEDEL W. Effects of Coriolis acceleration on the free and forced in-plane vibrations of rotating rings on elastic foundation[J]. Journal of Sound and Vibration,1987,115(2): 253-274. doi: 10.1016/0022-460X(87)90471-8
|
| [18] |
胡海岩. 应用非线性动力学[M]. 北京: 航空工业出版社,2000. HU Haiyan. Appliod nonlinoar dynamics[M]. Beijing: Aviation Industry Press,2000. (in Chinese
HU Haiyan. Appliod nonlinoar dynamics[M]. Beijing: Aviation Industry Press, 2000. (in Chinese)
|
| [19] |
王世宇,陈东亮,刘建平,等. 分组对称旋转周期结构固有频率分裂解析分析[J]. 天津大学学报,2012,45(5): 393-399. WANG Shiyu,CHEN Dongliang,LIU Jianping,et al. Analytical analysis on natural frequency splitting of rotationally periodic structure with grouped features[J]. Journal of Tianjin University,2012,45(5): 393-399. (in Chinese
WANG Shiyu, CHEN Dongliang, LIU Jianping, et al. Analytical analysis on natural frequency splitting of rotationally periodic structure with grouped features[J]. Journal of Tianjin University, 2012, 45(5): 393-399. (in Chinese)
|
| [20] |
FRIEDMANN P,HAMMOND C E,WOO T H. Efficient numerical treatment of periodic systems with application to stability problems[J]. International Journal for Numerical Methods in Engineering,1977,11(7): 1117-1136. doi: 10.1002/nme.1620110708
|
DownLoad:
