考虑连接间隙非确定性的水中多体结构随机动力响应分析

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振动与冲击 ›› 2019, Vol. 38 ›› Issue (13) : 223-230.

论文

何孔德1,2,何雪辉1,2,方子帆1,2,杨蔚华1,2,刘绍鹏1,2,陈志超1,2

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Stochastic dynamic response analysis for submerged multi-body structures considering uncertainty of connection gaps

HE Kongde1,2, HE Xuehui1,2, FANG Zifan1,2, YANG Weihua1,2, LIU Shaopeng1,2, CHEN Zhichao1,2

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摘要

针对水中多体结构系泊缆索和结构体连接的间隙接触不确定性所带来的系统动态特性随机性问题，考虑系泊缆索轻、柔和低阻尼特性引起的垂度效应，以及其在流场作用和间隙连接冲击下的动态伸长，采用等效弹性模量法修正了垂度的影响，建立了考虑系泊缆索动态伸长及间隙接触的系统随机广义非确定性动力学模型，利用Newmark-β方法及区间算法进行求解。计算结果表明，考虑间隙接触状态不确定性模型所带来的结构体运动学参数的均值和峰值都要大于理想铰接状态；动态张力也发生随机变化，出现很大峰值；间隙接触状态的偏转角度要大于铰接状态，有可能会引起系统的失稳。因此在研究具体水中多体结构时，要考虑连接处的接触状态，分析其随机动态特性。

Abstract

Aiming at the randomness problem of system dynamic characteristics due to gap contact uncertainty of interconnection between an underwater multi-body structure and its mooring hawser, considering the sag effect caused by mooring hawser features of light, soft and low damping, and hawser’s dynamic elongation under action of flow field and gap connection impacting, the equivalent elastic modulus method was used to modify effects of the sag, and establish this system’s stochastic, generalized and uncertain dynamic model considering mooring hawser’s dynamic elongation and gap contact. Newmark-β method and the interval algorithm were used to solve this problem. The computation results showed that means and peaks of the underwater multi-body structure’s motion parameters considering uncertainty of gap contact state are all larger than those under the ideal articulated state; dynamic tension force also has a stochastic change and a very large peak; deflection angle under gap contact state is larger than that under articulated state, this situation may cause the system unstable; so when studying a specific submerged multi-body structure, its connection contact state must be considered and its random dynamic characteristics should be analyzed.

导出引用

何孔德1,2,何雪辉1,2,方子帆1,2,杨蔚华1,2,刘绍鹏1,2,陈志超1,2. 考虑连接间隙非确定性的水中多体结构随机动力响应分析[J]. 振动与冲击, 2019, 38(13): 223-230

HE Kongde1,2, HE Xuehui1,2, FANG Zifan1,2, YANG Weihua1,2, LIU Shaopeng1,2, CHEN Zhichao1,2. Stochastic dynamic response analysis for submerged multi-body structures considering uncertainty of connection gaps[J]. Journal of Vibration and Shock, 2019, 38(13): 223-230

参考文献

[1] Ravi Shankar, Yan Sheng, Megan Golbek. Linear long wave propagation over discontinuous submerged shallow water topography [J]. Applied Mathematics and Computation, 2015, 252(5):27-44.
[2] Tcheou, Kaplon R E. The static configuration of tri-moored surface, buoy cable array acted on by current-induced force [R]. NRL Report NO 6894, AD65814, 2012，10: 303-313.
[3] G.A. Zarruk, E.A. Cowen, T.-R. Wu. Vortex shedding and evolution induced by a solitary wave propagating over a submerged cylindrical structure [J] .Journal of Fluids and Structures, 2015, 52(5):181-198.
[4] 唐友刚，樊娟娟.高雷诺数下圆柱顺流向和横向涡激振动分析[J].振动与冲击,2013,32(13): 88-92.
Tang Yougang, Fan Juanjuan. In line and transverse vortex-induced vibration analysis for a circular cylinder under high Reynolds number [J]. Journalof Vibrationandshock, 2015, 52(5):181-198.
[5] 张若瑜，唐友刚，宋吉哲，刘利琴. 深海系缆动张力的超谐动力响应[J].船舶力学，2012（7）:804-811.
Zhang Ruoyu, Tang Yougang, Song Jizhe. Liu Liqin. Analysis of dynamic tension nonlinear characteristics for mooring system in the deep water [J]. Journal of Ship Mechanics, 2012（7）: 804-811.
[6] Smith，Hara G J. The static equilibrium configuration of cables arrays by use of the method of imaginary reactions [R]. NRL Report NO. 6819, AD68519, 2013，10: 393-416.
[7] 何孔德，李友荣，方子帆，杨蔚华.水下监测平台系泊缆冲击张力的数值模拟[J].振动、测试与诊断，2013，48（3）：472-477.
HeKongde, LiYourong, Fang Zifan, Yang Weihua. Numerical simulation of impact tension for mooring cable of submerged monitoring platform[J].Journal of Vibration,Measurement＆ Diagnosis, 2013，48（3）：472-477.
[8] 唐友刚，海洋工程结构力学[M].天津：天津大学出版社，2008.
Tang Yougang. Structural Mechanics of Marine Engineering[M]. Tianjin: Tianjin University Press, 2008.
[9] 樊哲良,岳前进,武文华. 软刚臂系泊系统水平系泊力原型测量方法[J].上海交通大学学报，2014，48（4）：475-481.
Fan Zheliang,Yue Qianjin, Wu Wenhua, Sun Qiang.Prototype Measurement Methods for Horizontal Mooring Force of Soft Yoke Mooring System[J]. Journal of Shanghai Jiao Tong University2014，48（4）：475-481.
[10] 邵卫东，唐友刚，樊娟娟，张若瑜.考虑浮体升沉及张紧环运动深海立管固有振动特性研究[J].海洋工程,2012,30(2):9-14.
Shao Weidong，Tang Yougang，Fan Juanjuan，Zhang Ruoyu. Study of natural vibration characteristics of deep-water riser consideringheave motion of platform and tension-ring's motion[J]．The Ocean Engineering,2012,30(2):9-14.
[11] 魏永祥，陈建军，马洪波．随机参数弹性连杆在平稳随机激励下的动力可靠性分析［J］．机械工程学报， 2012，48( 2) : 36－43．
Wei Yongxiang， Chen Jianjun， Ma Hongbo．Dynamic reliability analysis of elastic linkage mechanism with stochastic parameters under stationary random excitation[J]．Journal of Mechanical Engineering，2012，48( 2) : 36-43．
[12] 刘太素,钱林方,尹强.考虑间隙的空间圆柱铰多体系统运动学精度及动力学分析[J]. 振动与冲击, 2017, 36(19):151-157.
Liu Taisu, Qian Linfang, Yin Qiang. Kinematics accuracy and dynamic analysis of multi-body systems with spatial cylindrical clearance joints [J]. Journal of vibration and shock, 2017, 36(19):151-157.
[13] 陈鹏,刘锦阳,洪嘉振.考虑摩擦的柔性多体系统斜碰撞理论与实验研究[J].振动与冲击,2018,37(01):1-7+13.
Chen Peng, Liu Jinyang, Hong Jiazhen. Simulation and experimental investigation on the eccentric collision in multi-body systems considering the friction effect[J]. Journal of vibration and shock,2018,37(01):1-7+13.
[14] Dubowsky S，Freudenstein F．Dynamic analysis of mechanical systems with clearances，part 1: formation of dynamic model[J]．Journal of Engineering for Industry，1971，93( 1) :305-309．
[15] Flores P．Dynamic analysis of mechanical systems with imperfect kinematic joint［D］．University of Minho，Guimaraes，Portugal，2005．
[16] 皮霆，张云清，吴景铼．基于多项式混沌方法的柔性多体系统不确定性分析［Ｊ］．中国机械工程，2011，22（19）：2341－2348．
Pi Ting, Zhang Yunqing, Wu Jinglai. Uncertainty Analysis of Flexible Multi-body Systems Using Polynomial Chaos Methods[J]. China Mechanical Engineering, 2011,22(19):2341-2348.
[17] Erkaya S. Experimental investigation of flexible connection and clearance joint effects on the vibration responses of mechanisms [J]. Mechanism & Machine Theory, 2018, 121:515-529.
[18] Zheng E, Zhang H, Zhu Y, et al. Dynamic modeling and simulation of flexible multi-link mechanism including joints with clearance for ultra-precision press [J]. Nongye Jixie Xuebao/transactions of the Chinese Society of Agricultural Machinery, 2017, 48(1):375-385.
[19] Chen Y, Sun Y, Peng B, et al. A Comparative Study of Joint Clearance Effects on Dynamic Behavior of Planar Multibody Mechanical Systems [J]. Lat.am.j.solids Struct, 2016, 13(15):2515-2533.