Acta Scientiarum Naturalium Universitatis Pekinensis

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Abel Transform of Equilibrium Equation of Axisymmetric Problem

GAO Yang, WANG Minzhong   

  1. Department of Mechanics and Engineering Science, Peking University, Beijing, 100871
  • Received:2003-09-22 Online:2005-01-20 Published:2005-01-20

轴对称问题平衡方程的Abel变换

高阳,王敏中   

  1. 北京大学力学与工程科学系,北京,100871

Abstract: The equilibrium equation of irrotational axisymmetric problem is converted into equilibrium equation of plane strain problem by using Abel transform directly rather than Алексадаров complex formula, thus it is proved that any axisymmetric problem is derived from plane problem by rotating.

Key words: Abel transform, axisymmetric, plane strain, equilibrium equation

摘要: 不利用Алексадаров复变公式,而采用另一种方式,直接利用Abel变换,把无旋转的轴对称问题的平衡方程转换为平面应变问题的平衡方程,因而证明了任意轴对称问题都是平面问题旋转产生的。

关键词: Abel变换, 轴对称, 平面应变, 平衡方程

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