はりの衝撃に関する研究

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タイトル別名
  • On the Impact of Beam
  • ハリ ノ ショウゲキ ニ カンスル ケンキュウ

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Problems of lateral vibrations and the dynamic loads produced in a beam struck by a falling body have been treated by many authors, but in their theories only the impact caused by a spherical ball moving at a given velocity was discussed. The problem of impact caused by a falling body with a cylindrical contact surface has not been treated for the reason of its complication. The relative approach in a cylinder-contact has a complicated mathematical form as compared with the case of a ball-contact, but it is very impotant problem in practice. In this paper two methods are developed to treat the cylinder-contact problem ; (a) numerical method and (b) collocation method. The collocation method leads to a reasonable and sufficiently approximate solution without difficulty. Numerical examples and the effects of non-dimensional characteristic coefficients (k1, k2, k3, and kM) are treated and the time dependency of deflection of the beam is calculated.

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