Stresses in a Circular Cylinder Having an Eccentric Spherical Cavity under Tension
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概要
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This paper contains an analysis of the distribution of stresses in a circular cylinder having an eccentrically located spherical cavity under axial uniform tension. The method of approach is based upon the harmonic stress functions which are the general solutions of the equations of equilibrium in terms of displacements proposed by Dougall and Neuber. Owing to the linearity of elasticity, a solution can be obtained by superposing two solutions; one is expressed in terms of the cylindrical harmonics whose origin lies on the center axis of the cylinder, and the other is in terms of the spherical harmonics whose origin is at the center of the cavity. In order to superpose these solutions, we get the transformation formulae between these harmonics by altering Graf's formula. Then, making use of these relations, we can satisfy the boundary conditions on both surfaces of the cylinder and the cavity. Numerical results are given for eccentric distance c=0.25 with the ratio of the cavity radius to the cylinder radius varying 0.1〜0.5, and the stress distributions around the cavity are shown graphically.
- 一般社団法人日本機械学会の論文
著者
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Matsumoto Hiroyuki
Department of Electrical Engineering, Toyo University
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Nakahara Ichiro
Department Of Mechanical Engineering Tokyo Institute Of Technology
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TSUCHIDA Eiichiro
Department of Mechanical Engineering, Saitama University
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Tsuchida Eiichiro
Department Of Mechanical Engineering Saitama University
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Kawakami Takashi
Department Of Chemistry And Biotechnology Graduate School Of Engineering The University Of Tokyo
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Kawakami Takashi
Department Of Mechanical Engineering Tokyo Institute Of Technology
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Kawakami Takashi
Department Of Biomolicular Engineering Tokyo Institute Of Technology
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Matsumoto Hiroyuki
Department Of Biochemistry And Molecular Biology University Of Oklahoma Health Sciences Center
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Matsumoto Hiroyuki
Department Of Biochemistry And Molecular Biology The University Of Oklahoma Health Sciences Center
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