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由横向稀肋加固的斜锥壳的渐近解法

THE ASYMPTOTIC SOLUTON OF SLANT CONICAL SHELL STRENGTHENED WITH TRANSVERSE RINGS

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【作者】 蒋智翔; 郑思梁; 付承诵; 陈正新; 黄克智;

【Author】 Jiang Zhixiang Chen Syliang Fu Chengsong Chen Zhengxin Huang Kehchih (Tsinghua University)

【机构】 清华大学; 清华大学;

【摘要】 在文献[1]中作者得到了具有刚性加强端的斜锥壳的渐近解法.本文在此基础上进一步讨论横向稀肋加固的斜锥壳的渐近解法.所谓“稀肋”是指相邻两肋的简单边界效应相互影响在工程精度范围内可忽略不计的肋条,例如肋间距l≥3(rh)1/2时(2h——薄壳厚度,r——两肋处壳体的最大平均半径).对于本文所讨论的常用的肋条横截面尺寸,分析结果表明,作为应力状态的第一次渐近解[误差为(h/λ)1/2量级,λ——壳体中心面的特征曲率半径],肋对壳体薄膜应力状态没有影响.而在求解简单边界效应时,可将肋与壳的连接处看成弹性固支边界来处理,即认为此处的壳体转角γ1为零,而周向应变ε2等于肋的应变值。在分析过程中,讨论了肋截面形心偏心及形心主轴偏斜等因素对壳体应力状态的影响,证明了在第一次近似时它们可忽略不计. 为了验证所得结果的精确程度,在文献[1]的试件上,进一步作了具有稀肋加强的斜锥壳的电测试验.试验结果证实,本文所得的渐近解的误差基本上在(h/λ)1/2及斜锥偏度m2的量级范围内. 为了节省篇幅,本文不再给出斜锥壳各基本应力状态的内力及位移表达式,以及它们的待定函数的确定方法,需要时可参阅文献[1].

【Abstract】 On the basis of Ref. [1], in this paper the asymptotic solution of slant conical shell strengthened with transverse rings is discussed. The rings are not too closely distributed so that the interaction of the simple boundary effect between two neighbouring rings can be neglected. This is the case when the distance between two rings is not less than 3 or so. For the practical sizes of the ring sections discussed, an analysis shows that for the first approximation of the state of stress, the influence of the rings on the membrane state in the shell can be neglected. Besides, in solving the simple boundary effect in the shell, the rings can be treated as clamped in rotation, and elastic in its own plane-with the rotating angle of the shell equal to zero, and its transverse tensile strain equai to that of the rings. Furthermore, it is shown that for the first approximation the eccentricity of the centroid and the deviation from the centroidal principal axis can be disregarded.In order to verify the formulas presented, experimental measurements have been further carried out for the model given in Ref. [1] on the slant conical shell strengthened with rings. The results show that the error of the asymptotic solution presented in this paper is in the range of k or m~2 order of magnitude.

  • 【文献出处】 固体力学学报 ,Acta Mechanica Solida Sinica , 编辑部邮箱 ,1985年04期
  • 【下载频次】34
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