MOMENTUM DEFECT IN IMPACT OF A SHORT ROD AGAINST A SMOOTHOBSTACLE
V. A. Andrushchenko,a V. A. Goloveshkin,b and N. N. Kholinb UDC 539.3 The problem of deformation of an elastic half-plane under the effect of a finite load of special form on its boundary is studied theoretically. Using Laplace and Fourier transformations the authors obtained a finite relation for the total force on the axis of symmetry of the half-plane that is used to study momentum loss in impact of a short elastic rod against a smooth absolutely rigid obstacle. With certain limitations on the dimensions of the rod the authors obtained an accurate analytical estimate of the momentum loss that is associated with conversion of part of the energy of the striker to the energy of its transverse oscillations. aInstitute of Automation of Design, Russian Academy of Sciences, Moscow, Russia; bMoscow State Academy of Instrument Manufacture and Information Science, Moscow, Russia. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 74, No. 1, pp. 111-117, January -February, 2001. Original article submitted January 11, 2000; revision submitted August 4, 2000. JEPTER7492020014 JEPTER749204