Engineering Transactions, 56, 2, pp. 101–116, 2008

Rigid Body Assembly Impact Models for Adiabatic Cutoff Equipments

M. MASSENZIO
Université de Lyon, Lyon, F-69003, France Université Lyon 1, UMRT9406, LBMC, IUT B Département Génie Mécanique et Productique

S. PASHAH
Université de Lyon, Lyon, F-69003, France Université Lyon 1, UMRT9406, LBMC, IUT B Département Génie Mécanique et Productique

E. JACQUELIN
Université de Lyon, Lyon, F-69003, France Université Lyon 1, UMRT9406, LBMC, IUT B Département Génie Mécanique et Productique

A. BENNANI
Université de Lyon, Lyon, F-69003, France Université Lyon 1, UMRT9406, LBMC, IUT B Département Génie Mécanique et Productique

This paper is concerned with systems consisting of components colliding with each other.
In particular, a high velocity adiabatic impact cutoff machine is investigated. For general
understanding of the impact dynamics (affected by a large number of parameters), the mechanisms
are modelled in a simplified and accurate manner. Two simple models are developed:
the energy-balance model and the spring-mass model. The energy-balance model is based on
the principle of total energy conservation. It provides only the punch minimum kinetic energy
required for efficient cutting. Concerning the spring-mass model, the different components are
represented by rigid masses and their deformations are modelled by springs (linear or nonlinear
in the case of contact stiffness). The resulting non-linear equations are solved using
the Newmark numerical technique. The impact force, velocity, displacement and acceleration
histories are calculated what makes possible a fine description of the cutoff cycle steps. The
two models are helpful for both the design and tuning of the mechanisms involving impacts
between their components.
Keywords: impact, rigid body, adiabatic cutoff, spring-mass model, energy-balance model
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