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气泡脉动压力作用下圆板的响应分析
引用本文:王善,王振宇,唐兆田,徐定海.气泡脉动压力作用下圆板的响应分析[J].哈尔滨工程大学学报,2008,29(6).
作者姓名:王善  王振宇  唐兆田  徐定海
作者单位:1. 哈尔滨工程大学,航天与建筑工程学院,黑龙江,哈尔滨,150001
2. 哈尔滨工程大学,航天与建筑工程学院,黑龙江,哈尔滨,150001;中航第一飞机研究院,上海,200232
基金项目:国家自然科学基金委员会-中国工程物理研究院(NSAF)联合基金
摘    要:尽管气泡脉动压力峰值较冲击波小,但是近场水下爆炸气泡能量的衰减较冲击波慢,所以其对结构的影响却是不可忽视的.将脉动球面压力波分解为不同时段内的环形荷载,利用李滋方程推导出圆板表面上压力以及圆板圆心处的最大挠度的计算公式.算例中所体现的深水条件与经验公式给出的基本相符;拟合得到公式可以计算出任意厚度板的最大挠度;圆板中心最容易发生破坏;在板厚较薄的情况下,圆板边界也很可能发生破坏.

关 键 词:水下爆炸  气泡脉动  环形荷载  李滋方程  挠度

Research on the response of circular plates to bubble pulsation pressure
WANG Shan,WANG Zhen-yu,TANG Zhao-tian,XU Ding-hai.Research on the response of circular plates to bubble pulsation pressure[J].Journal of Harbin Engineering University,2008,29(6).
Authors:WANG Shan  WANG Zhen-yu  TANG Zhao-tian  XU Ding-hai
Abstract:Although the peak value of bubble pulsation is relatively smaller than that of shock waves,the attenuation of energy of bubbles in near-field underwater explosion is slow,so that their influence on structures can not be neglected.We divided the bubble pulsation pressure waves on the spherical surface into ring-shaped loads over different time intervals.Expressions for the pressure on the surface of the circular plate and the maximum deflection at the center of the circle were derived using Ritz's equation.With the example of a plate which was damaged in deepwater,the calculated results gave a good explanation to actual phenomenon.Maximum deflection for a plate of arbitrary thickness could be calculated by applying the fitted deflection formula.The center of a circular plate experiences the greatest pressure and is most possibly ruptured.The edge of the circular plate may also be destroyed if the thickness of the plate is not sufficient.
Keywords:underwater explosion  bubble pulsation  ring-shaped load  Ritz's equation  deflection
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