Inplane oscillation analysis of the highline system with 1:2 internal resonance and dominate resonance

Ren Ai-Di; He Xue-Jun; Wang Xiao-Lin; Zhang Liang-Xin

doi:10.7498/aps.61.060501

Abstract

A three-degree-of-freedom nonlinear dynamic model of piecewise highline system during underway replenishment is investigated when the lumped mass swings in which the influences of piecewise characteristic of highline cable's static profile due to cargo deadweight, the incline angle and the horizontal motion of the sending end are considered. Considering 1:2 internal resonance and primary resonance, ordinary differential equations are gained by decoupling the inertial terms. Perturbation analysis and numerical analysis are carried out by adopting the multiple-scale method, which will be the theoretical basis of the further research of nonlinear dynamics.

Keywords:

Authors and contacts

1.
Department of Logistics Command and Engineering, Navy University of Engineering, Tanggu 300450, China

Corresponding author: Ren Ai-Di, renaidi@eyou.com

Funds: Project supported by the China Postdotoral Science Foundation (Grant No. 20080431381).

References

[1]	Lu Y J 1996 Shipbuliding of China 37 17 (in Chinese)[卢永锦 1996 中国造船 37 17]
[2]	He X J, Zhang L X, Ren A D 2010 Acta Phys. Sin. 59 3088 (in Chinese)[何学军, 张良欣, 任爱娣 2010 59 3088]
[3]	Zhang L X, He X J, Ren A D 2010 Proceedings of the 2010 International Conference on Application of Mathematics and Physics V2: Advances on Applied Mathematics and Computation Mathematics Nanjing, China, May 8–9, 2010 p104
[4]	Ren A D, He X J, Zhang L X 2010 The International Conference on E-Product, E-Service and E-Entertainment Henan, China, November 4–6, 2010 p4662
[5]	Rega G 2004 Am. Soc. Mech. Eng. 57 443
[6]	Jensen C N, Nielsen S R K, Svrensen J D 2002 J. Sound Vib. 256 499
[7]	Chen L Q, Yang X D 2005 J. Sound Vib. 2 879
[8]	Nayfeh A H,Mook D T 1979 Nonlinear Osciallations (New York: John Wiley and Sons) p72 060501-8

Cited By

[1]	Lu Y J 1996 Shipbuliding of China 37 17 (in Chinese)[卢永锦 1996 中国造船 37 17]
[2]	He X J, Zhang L X, Ren A D 2010 Acta Phys. Sin. 59 3088 (in Chinese)[何学军, 张良欣, 任爱娣 2010 59 3088]
[3]	Zhang L X, He X J, Ren A D 2010 Proceedings of the 2010 International Conference on Application of Mathematics and Physics V2: Advances on Applied Mathematics and Computation Mathematics Nanjing, China, May 8–9, 2010 p104
[4]	Ren A D, He X J, Zhang L X 2010 The International Conference on E-Product, E-Service and E-Entertainment Henan, China, November 4–6, 2010 p4662
[5]	Rega G 2004 Am. Soc. Mech. Eng. 57 443
[6]	Jensen C N, Nielsen S R K, Svrensen J D 2002 J. Sound Vib. 256 499
[7]	Chen L Q, Yang X D 2005 J. Sound Vib. 2 879
[8]	Nayfeh A H,Mook D T 1979 Nonlinear Osciallations (New York: John Wiley and Sons) p72 060501-8

[1]	Zhang Zheng-Di, Liu Ya-Nan, Li Jing, Bi Qin-Sheng. Bursting oscillations and mechanism of sliding movement in piecewise Filippov system. Acta Physica Sinica, 2018, 67(11): 110501. doi: 10.7498/aps.67.20172421
[2]	Lu Zhi-Yu, Ren Yan-Qing, Ba Bin, Wang Da-Ming, Zhang Jie. An improved direct position determination method based on correlation accumulation of short-time signals with variable velocity receivers. Acta Physica Sinica, 2017, 66(2): 020503. doi: 10.7498/aps.66.020503
[3]	Bai Ye, Jia Yong-Xia, Li Cun-Biao, Zhu Yi-Ding. Experimental Study of a Periodical Flapping Flag. Acta Physica Sinica, 2016, 65(12): 124701. doi: 10.7498/aps.65.124701
[4]	Liu Fei, Liu Bin, Liu Hao-Ran. Cycle response characteristics research on a class of piecewise nonlinear elastic and damping double constraint system. Acta Physica Sinica, 2015, 64(12): 124601. doi: 10.7498/aps.64.124601
[5]	Zhang Ling-Mei, Zhang Jian-Wen, Wu Run-Heng. Anti-control of Hopf bifurcation in the new chaotic system with piecewise system and exponential system. Acta Physica Sinica, 2014, 63(16): 160505. doi: 10.7498/aps.63.160505
[6]	Huang Xiang-Dong, Meng Tian-Wei, Ding Dao-Xian, Wang Zhao-Hua. A novel phase difference frequency estimator based on forward and backward sub-segmenting. Acta Physica Sinica, 2014, 63(21): 214304. doi: 10.7498/aps.63.214304
[7]	Wu Li-Feng, Guan Yong, Liu Yong. Complicated behaviors and non-smooth bifurcation of a switching system with piecewise linearchaotic circuit. Acta Physica Sinica, 2013, 62(11): 110510. doi: 10.7498/aps.62.110510
[8]	Xie Fan, Yang Ru, Zhang Bo. Analysis of weight Lempel-Ziv complexity in piecewise smooth systems of DC-DC switching converters. Acta Physica Sinica, 2012, 61(11): 110504. doi: 10.7498/aps.61.110504
[9]	Hu Shou-Song, Tao Hong-Feng. Time-delayed generalized projective synchronization of piecewise chaotic system with unknown parameters. Acta Physica Sinica, 2011, 60(1): 010514. doi: 10.7498/aps.60.010514
[10]	Zhang Bo, Xie Fan, Yang Ru. Study on border collision and bifurcation of two-dimensional piecewise smooth systems in current mode controlled Buck converter. Acta Physica Sinica, 2010, 59(12): 8393-8406. doi: 10.7498/aps.59.8393
[11]	Luo Shi-Yu, Shao Ming-Zhu, Luo Xiao-Hua. The global bifurcation and chaotic behaviours for the crystalline undulator radiation. Acta Physica Sinica, 2010, 59(4): 2685-2690. doi: 10.7498/aps.59.2685
[12]	He Xue-Jun, Zhang Liang-Xin, Ren Ai-Di. The study of stability and bifurcation of highline cable of alongside replenishment system. Acta Physica Sinica, 2010, 59(5): 3088-3092. doi: 10.7498/aps.59.3088
[13]	Ning Li-Juan, Xu Wei. Stochastic resonance under modulated noise in linear systems driven by dichotomous noise. Acta Physica Sinica, 2009, 58(5): 2889-2894. doi: 10.7498/aps.58.2889
[14]	Chen Jian-Jun, Yu Si-Min. A piecewise-linear Sprott system and its chaos mechanism. Acta Physica Sinica, 2009, 58(11): 7525-7531. doi: 10.7498/aps.58.7525
[15]	Shan Liang, Li Jun, Wang Zhi-Quan. Synchronization control of a new piecewise chaotic system. Acta Physica Sinica, 2006, 55(8): 3950-3955. doi: 10.7498/aps.55.3950
[16]	Wang Lin-Ze, Zhao Wen-Li. Suppression of chaotic motion in a class of piecewise-smooth systems by using sine periodic force. Acta Physica Sinica, 2005, 54(9): 4038-4043. doi: 10.7498/aps.54.4038
[17]	Li Ming, Ma Xi-Kui, Dai Dong, Zhang Hao. Analysis of bifurcation and chaos in a class of piecewise smooth systems based on symbolic sequence. Acta Physica Sinica, 2005, 54(3): 1084-1091. doi: 10.7498/aps.54.1084
[18]	He Yue, Jiang Yu-Mei, Shen Ying, He Da-Ren. A fat strange set crisis in a piecewise-continuous system. Acta Physica Sinica, 2005, 54(3): 1071-1080. doi: 10.7498/aps.54.1071
[19]	Rong Hai-Wu, Wang Xiang-Dong, Xu Wei, Meng Guang, Fang Tong. On double-peak probability density functions of a Duffing oscillator under narrow-band random excitations. Acta Physica Sinica, 2005, 54(6): 2557-2561. doi: 10.7498/aps.54.2557
[20]	Dai Dong, Ma Xi-Kui, Li Xiao-Feng. Border collision bifurcations and chaos in a class of piecewise smooth systems w ith two boundaries. Acta Physica Sinica, 2003, 52(11): 2729-2736. doi: 10.7498/aps.52.2729

Catalog

Vol. 61, Issue 6 - 2012-03-20

Metrics

Abstract views: 8042
PDF Downloads: 544
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板