水波中弹性浮板的减振问题研究  

Vibration Reduction of Floating Elastic Plates in Surface Waves

作　　者：赵存宝[1] 张嘉钟[1] 黄文虎[1] 

机构地区：[1]哈尔滨工业大学航天工程与力学系,哈尔滨150001

出　　处：《应用数学和力学》2007年第8期929-938,共10页Applied Mathematics and Mechanics

摘　　要：基于线性水波理论和Mindlin厚板动力学理论,采用Wiener-Hopf方法,分析研究了水面上弹性浮板对水波的动响应及其减振问题.首先,在不考虑弹性联接情况下,将分析计算结果与前人的计算结果及实验数据进行了对比,验证了该方法的有效性.其次,基于该方法分析了连接浮板与水底的弹簧刚度与浮板振动响应各参数之间的关系,从而为超大型浮台系统的设计提供理论依据.Based on the dynamical theories of water waves and dyrmmics of Mindlin thick plates, the in-on of the wave-induced responses and the vibration reduction of an elastic floating plate were presented by using the Wiener-Hopf technique. Firstly, regardless of without the case of elastic connector, the caloflated results obtained by the present method were in good agreement with the results from the literature and the experiment. So it can be shown that the present method is valid, Fi- nally, the relation between the spring stiffness to be used to connect the sea bottom and the floating plate, and the parameters of wave-induced responses of floating plates was analyzed by using the present method. Therefore, these results can be used as theoretical bases at the design stage of the super floating platform systems.

关 键 词：水波衍射 弹性浮板 Mindlin厚板理论 Wiener-Hopf方法 减振 反射和透射系数 

分 类 号：O353.4[理学—流体力学] P752[理学—力学]