Transverse Impact on Beams

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概要

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• Problems of lateral vibrations and the dynamic loads produced in a beam struck by a falling ball have been treated by many authors ; but in their studies only the impact caused by a sphere moving at a given velocity was discussed. The problem of impact by a falling body with a cylindrical contact surface has not been treated for the reason of its complexity. The relative approach in a cylinder-contact has a complicated mathematical form as compared with the case of a sphere-contact, but it is a very important problem in practice. In this paper two methods are developed to treat the problem : (a) step-by-step integration used by Timoshenko 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 (k_1,k_2,k_3,and k_M) are discussed and the time dependency of deflection of the beam is given in order to compare the impact of a sphere.

• 一般社団法人日本機械学会の論文

著者

• Tobe Toshimi

  Faculty Of Engineering Tohoku University

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