Engineering Transactions,
56, 2, pp. 101–116, 2008
Rigid Body Assembly Impact Models for Adiabatic Cutoff Equipments
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.
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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