Dynamic Stresses and Deformations in a Thick Cylinder under Nonaxially Symmetrical Impulsive Loads : 1st Report, Analysis Based on the Two Dimensional Dynamic Theory of Elasticity
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概要
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In this paper, the response of a hollow infinite circular cylinder (as a plane strain field) of a circular disk (as a plane stress field) is studied, which is subjected to a pair of impulsive line loads along its outer generators facing each other. First, the line loads are expanded in a Fourier series and represented as a sum of a uniformly distributed pressure and pressures in the form of trigonometric functions. By the use of this method of superposition, the dynamic stresses in the cylinder or the disk are analized based on the two dimensional dynamic theory of elasticity by using the stress functions and the Laplace transformation. As the result, it is shown that the maximum tensile stress is produced along the inner generators corresponding to the loaded ones and the value is about twice as large as the corresponding static result.
- 一般社団法人日本機械学会の論文
著者
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UJIHASHI Sadayuki
Faculty of Engineering, Tokyo Institute of Technology
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Ujihashi Sadayuki
Faculty Of Engineering Tokyo Institute Of Technology
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Matsumoto Hiroyuki
Faculty Of Engineering Tokyo Institute Of Technology
関連論文
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- Dynamic Displacements and Stresses in a Circular Cylindrical Shell of Finite Length with Both Ends Clamped Which is Subjected to Concentrated impulsive Loads
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- The Study of Mechanical Similarity in Longitudinal Impact Problems
- Transient Stress of an Elastic Half Space Subjected to a Uniform Impulsive Load in a Rectangular Region of Its Surface
- Dynamic Responses of Circular Cylindrical Shells Having Finite Lengths Subjected to Concentrated Impulsive Loads
- Dynamic Stresses and Deformations in a Thick Cylinder under Nonaxially Symmetrical Impulsive Loads : 1st Report, Analysis Based on the Two Dimensional Dynamic Theory of Elasticity