垂荡作用下船用转子-轴承系统的动力学特性研究
大学， 2015.
Hou Lei. Research on nonlinear dynamics of rotor system in manuevering flight[D]. Harbin： Harbin Institute of Technology， 2015.
[6] 刘建华， 洪 竹. 船舶纵横摇耦合运动数学模型研究[J]. 江苏科技大学学报（自然科学版）， 2016， 30（5）：411-416.
Liu Jian-hua ， Hong Zhu. Mathematical model of ship pitching and rolling coupled motions[J]. Journal of Jiangsu University of Science and Technology （Natural Science Edition）， 2016，30（5）：411-416.
[7] Srigrarom S， Chai W S. Effect of pitching and heaving motions of SD8020 hydrofoil on thrust and efficiency for swimming propulsion[C]. APS Division of Fluid Dynamics Meeting， APS Division of Fluid Dynamics Meeting Abstracts， 2013.
[8] Floryan D， Buren T V， Rowley C W， et al. Scaling the propulsive performance of heaving and pitching foils[J]. Journal of Fluid Mechanics， 2017，822（1）：386-397.
[9] Simonsen C D， Otzen J F， Joncquez S， et al. EFD and CFD for KCS heaving and pitching in regular head waves[J]. Journal of Marine Science & Technology， 2013， 18（4）：435-459.
[10] Zhang Guanghui， Liu Shupeng， Cao Zhixuan， et al. Analytical model of self-acting journal bearing subjected to base excitation for marine engine system[J].Journal of Engineering for the Maritime Environment， 2013，227（2）：194-207.
[11] Zhang Guanghui， Liu Shupeng， Ma Ruixian， et al. Nonlinear dynamic characteristics of journal bearing-rotor system considering the pitching and rolling motion for marine turbo machinery[J]. Journal of Engineering for the Maritime Environment， 2015，229（1）：95-107.
[12] 李 明， 趙 文， 何 琳. 气囊-浮筏耦合船用转子-轴承系统的非线性动力学研究[J]. 振动工程学报， 2015，28（4）：618-624.
Li Ming， Zhao Wen， He Lin. Nonlinear dynamic behavior of marine rotor-bearing system coupled by air bag-floating[J]. Journal of Vibration Engineering， 2015，28（4）：618-624.
[13] 钟一谔，何衍宗，王 正，等.转子动力学[M]. 北京：清华大学出版社， 1987：63-68.
Zhong Yi-e， He Yan-zong， Wang Zheng，et al.. Rotor Dynamics[M]. Beijing： Tsinghua University Press， 1987：63-68.
[14] 刘树鹏. 舰船纵横倾作用下转子轴承系统动力学特性研究[D].哈尔滨：哈尔滨工业大学，2011.
Abstract： With the ship heaving motion considered， the dynamic behaviors of the marine rotor-bearing system is studied in this paper. First， the dynamic model of the rotor-bearing system under the heaving motion is established based on the short bearing theory in the non-inertial reference system， in which the geometric nonlinearity is found to take place in the marine rotor-bearing system when with the action of heaving motion is taken into account. In addition， the dynamic characteristics， such as the bifurcation diagram， the maximum Lyapunov exponents， the steady state response， the rotor orbit and its Poincaré map are analyzed through numerical method， and the results are compared with those of the rotor-bearing system without heaving motion. Finally， the influence of the amplitude of the heaving excitation on the nonlinear dynamic characteristics of the rotor-bearing system is studied. The results show that the system exhibits a single cycle motion at low rotating speed and the heaving motion effect for this situation is obvious. With the increase of the speed， the phenomena of quasi-periodic， period two and double Hopf bifurcations occur in the system， and its dynamic characteristics present a single cyclic motion， quasi-periodic， period two and chaos etc..
Key words： nonlinear dynamics; marine rotor-bearing system; heaving; short bearing model
作者简介： 韩永超（1993-），男， 硕士研究生。电话： 18291875802; E-mail： 526702348@qq.com
李 明（1963-），男， 教授，博士生导师。电话： 13572980962; E-mail： limingnuaa@hotmail.com
上一篇：大数据思维特征