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DINAME2019
DINAME2019
A philosophically new approach to impact with and without vibrations
Submission Author:
Arindam Bhattacharjee , UP , India
Co-Authors:
Arindam Bhattacharjee, Anindya Chatterjee
Presenter: Anindya Chatterjee
doi://10.26678/ABCM.DINAME2019.DIN2019-0048
Abstract
In impacts between stiff solid bodies, even with simultaneous multiple impacts and/or vibrations, the net outcome obeys rigid body impulse momentum relations. However, the impulse remains indeterminate and must be separately predicted. We propose a new approach where various basic restrictions are directly retained using linear inequalities, and post-impact kinetic energy is minimized subject to new ``outward'' or rebound enhancing inequalities. The approach is philosophically new and algorithmically simple. It matches experimental data better than some popular approaches, and is in principle generalizable to other situations with new suitable outward inequalities.
Keywords
Impacts, Simultaneous impacts, vibroimpact, impulse-momentum, kinetic energy, quadratic programming

