受压缺陷矩形板振动分析

VIBRATION ANALYSIS OF AXIALLY COMPRESSED IMPERFECT RECTANGULAR PLATES

采用简易高效的方法分析受压缺陷矩形板的振动问题。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路径上的微振动方程 ,计算振动频率 ,提出了受压缺陷板振动频率和轴压、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、残余应力对矩形板振动频率的影响。最后给出了计算实例 ,并与试验结果进行了比较。

A simplified and efficient method is developed in order to analyze the vibration problem of axially compressed imperfect rectangular plates.The singularity perturbation method developed by the authors is used to calculate the post-buckling of the plates.The dynamic equation on the post-buckling equilibrium configurations is constructed and the frequency of the plates is explicitly obtained.The influences of the welding residual deflections and stresses on the plate vibration are discussed.The calculating results presented are in good agreement with those of experiments.