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变厚度圆柱壳基本方程及其应用
引用本文:汪少宁.变厚度圆柱壳基本方程及其应用[J].水泥工程,2004(1):57-60.
作者姓名:汪少宁
作者单位:安徽海螺建材设计研究院,安徽,芜湖,241000
摘    要:采用变厚度壳单元理论推导出变厚度圆柱壳弯曲问题的控制微分方程。该控制方程可退化为惯用的基于等厚度壳单元导出的变厚度圆柱壳基本微分方程。结果表明,导出的基本公式在壳体厚度变化梯度不大时与惯用的理论公式数值结果差别不大,但这种差别随着壳体厚度变化梯度增大而增大。

关 键 词:变厚度圆柱壳  控制微分方程  变厚度壳单元  控制方程
文章编号:1007-0389(2004)01-0057-04
修稿时间:2004年1月4日

Basic equation of variable thickness cylindrical shell and the application
WANG Shao-ning.Basic equation of variable thickness cylindrical shell and the application[J].Cement Engineering,2004(1):57-60.
Authors:WANG Shao-ning
Abstract:Control differential equation of curve problem of variable-thickness cylindrical shell is deduced with cell theory of variable-thickness shell. This control equation can degenerate to idiomatic variable-thickness shell basic differential equation which is deduced based on basic differential equation of equal-thickness cylindrical shell. The result shows that numerical value difference between the basic equation and idiomatic theory equation is small when thickness variable grads is not big, but the difference will increase if thickness-variable grads of shell increased.
Keywords:variable thickness cylindrical shell  variable thickness shell cell  control differential equation
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