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浮筏系统中的碰撞动力学离散模型(2):随机模型
引用本文:温建明,冯奇,高成雷.浮筏系统中的碰撞动力学离散模型(2):随机模型[J].上海力学,2007,28(3):390-394.
作者姓名:温建明  冯奇  高成雷
作者单位:同济大学,航空航天与力学学院,上海,200092;石家庄铁道学院,土木工程分院,河北,050043;同济大学,交通运输工程学院,上海,200092
摘    要:本文建立了浮筏系统在部分冲击受损后形成的碰撞振动系统的离散动力学随机模型.在此随机模型中,浮筏系统的运动满足高斯分布,零部件的运动方程中的非线性是由于空隙单元产生,可以采用非高斯截断技术导出随机系统的平均碰撞庞加莱映射.实例分析指出,随机模型中由于增加了噪声的摄动,表现出的动力学特性比确定性模型更丰富,噪声的影响有时会增加零部件与设备之间的碰撞次数,也会抑制零部件与筏体之间的碰撞次数,噪声将增加系统动力学特性的复杂性.

关 键 词:浮筏  平均碰撞庞加莱映射  非高斯截断技术
文章编号:0254-0053(2007)03-390-5
修稿时间:2006-03-24

Discrete Models of Impact Dynamics in Floating Raft (2): Stochastic Model
WEN Jian-ming,FENG Qi,GAO Cheng-lei.Discrete Models of Impact Dynamics in Floating Raft (2): Stochastic Model[J].Chinese Quarterly Mechanics,2007,28(3):390-394.
Authors:WEN Jian-ming  FENG Qi  GAO Cheng-lei
Institution:1. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China; 2. School of Civil Engineering, Shijia Zhuang Railway Institute, He Bei, 050043, China; 3. School of Traffic and Transportation, Tongji University, Shanghai 200092, China
Abstract:The vibro-impact was studied atfer the rigid connected part of floating raft was damaged.The stochastic model has been built up.In this model,the motion equations of floating raft were adapt to Gaussian distribution.The nonlinear of the part comes from the play.The mean impact Poincare Map for the stochastic system was presented by using non-Gaussian closure technique.As example,the dynamics characteristics in stochastic model are more abundance than the deterministic model because of the noise.The noise can not only increase the impacts between the part and the equipment but also decrease the impacts between the part and the raft through the calculated results.The noise makes the complaxity of dynamics characteristic of the floating raft.
Keywords:floating raft  the mean impact Poincaré  map  non-Gaussian closure technique
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