浅正弦波纹圆板在均布载荷下的大挠度弹性特征
Elastic Behavior of Uniformly Loaded Circular Corrugated Plate with Sine-shaped Shallow Waves in Large Deflection
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摘要: 本文用修正迭代法求解了波纹圆板壳体大挠度方程,得到了具中心平台的浅正弦波纹圆板在均布载荷下的弹性特征;给出了初始近似修正系数β的计算公式,并得到了能够简化特征迭代计算的一个积分.本文的解答较现有的波纹板壳体方程分析解更为符合实验结果,精确度和适用范围有较大改进.Abstract: By means of modified iteration method,this paper gives approximate solution of the large deflection equations of circular corrugated plate with sine-shaped shallow waves having a central platform under uniform lateral load.A formula of initial modification coefficient β is given,and an integral is obtained for the simplification of modified iteration calculations.The results of present paper shows better agreement with experi-mental data and larger applicable range than all other existing solutions of corrugated plates.
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