受压缺陷船体板的振动与衡准

Vibration Analysis and Calibrations of Axially Compressed,Imperfect Ship Platings

本文采用简易高效的方法分析了受压缺陷船体板的振动问题。首先应用奇异摄动理论计算受压缺陷板的后屈曲 ,然后给出后屈曲平衡构形上的微幅振动方程 ,计算受压缺陷船体板的振动频率 ,提出了船体板振动频率和轴压、残余应力与残余变形关系的一个显式表达式。探讨了焊接残余变形、残余应力对船体板振动频率的影响。文中给出了计算实例 ,并与试验结果进行了比较。最后应用随机模拟方法对船体板振动频率的概率分布进行了讨论 ,表明其概率分布函数可用Gumbel分布来拟合 。

A simplified and efficient method was developed in order to analyze the vibration problem of axially compressed,imperfect ship plating.The singularity perturbation method developed by the authors was used to calculate the post-buckling of the ship plating.The dynamic equation on the post-buckling equilibrium configurations was constructed and the frequency of the plating was explicitly obtained.The influences of the welding residual deflections and stresses on the plating vibration were discussed.The calculating results presented by the method were in well agreement with those of experiments.Finally,the probabilistic distribution of ship plating vibration frequency was dealt with by Monte Carlo simulation method.The simulation results showed that the vibration frequency could be fitted by Gumbel distribution.