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弹性限位浮筏系统的随机动力学模型
Stochastic Model of Floating Raft with Elastic Limiters
【Author】 WEN Jian-ming,FENG Qi (School of Aerospace Engineering and Applied Mechanics, Tongji University, Si Pin Road 1239, Shanghai 200092, China)
【机构】 同济大学航空航天与力学学院;
【摘要】 本文采用F.Pfeiffer给出的具有单边约束动力学方程,引入接触力,建立系统的确定性方程。再设系统的激励受到白噪声的影响,受冲击后,限位器发生接触,且接触的时间间隔较小,这样即使是低强度的白噪声摄动,系统的均方响应也不为零,因此有必要建立系统的随机动力学模型。文中建立了弹性限位浮筏系统的随机离散动力学模型,导出了系统的离散计算格式,并通过实例分析对系统的随机动力学特性进行研究。
【Abstract】 In this paper, the deterministic model is based on the unilateral kinetics equations by F. Pfeiffer. Supposing the external force of system is effected by the white noise. The mean responses are not zeros even the low white noise because the time interval contact is small. It is necessary to establish the random dynamical model for the system because of the noise. considering the universality of the noise, based on the random vibration theories a stochastic non-smooth model of the floating raft with elastic limiters is built up and the discrete computing formats are derived. The random responses of the floating raft have been analyzed by example.
- 【会议录名称】 第九届全国振动理论及应用学术会议论文集
- 【会议名称】第九届全国振动理论及应用学术会议暨中国振动工程学会成立20周年庆祝大会
- 【会议时间】2007-10-17
- 【会议地点】中国浙江杭州
- 【分类号】O313.4
- 【主办单位】中国力学学会、中国振动工程学会、中国航空学会、中国机械工程学会、中国宇航学会