四边简支方形幕壳的基频计算

The Calculation of Fundamental Frequency of the Simply Supported Square Truncated Pyramid Shell

摘要: 本文引用А.Г.Нa3aPOB关于用转折角θ表示脉冲曲率的建议,推导出四边简支方形幕壳基频的近似理论计算公式。同时在大量模型试验基础上,推导出半经验公式。前者在幕角α₀≤20°,顶跨比 b/a≥0.5的范围内,后者在幕角α_o≤30°,顶跨比 b/a≥0.25的范围内,与实验数据对比,误差不超过5%,故可作为工程设计参考。

Abstract: In this paper,the approximate theoretical formula of the fundamental fre- quency of the simply supported square truncated pyramid shell is derived by use of the proposition of А.Γ.HA3APOB that the impule curvature is indicated by turning angle. Moreover,on the basis of experiments of numerous models,a semiexperimental formula is also derived. The approximate theoretical(α₀≤20°,b/a≥0.5)and semi-experimental formulae(α₀≤30°,b/a≥0.5)are compared with the experimental data,and the errors between them are less than 5%.Therefore,these formulae may be used in engineering design.