The main goal of the paper is the analysis of selected impact problems in discrete mechanical systems. We applied rheological structures and unilateral constraints for modelling of interaction between colliding bodies. The rheological structure is a model of elastic-dissipative properties of bodies in impact. It is also a model of energy absorbing devices. The mathematical descriptions of impact problems are presented. Based on the obtained non-linear differential equations we built programs suited for computer simulations. The results of simulations i.e. time histories of displacements and contact forces are presented.MODELLING OF IMPACT USING RHEOLOGICAL STRUCTURES
The main goal of the paper is the analysis of impact in selected discrete mechanical systems. Rheological structures and unilateral constraints were used to model the interaction between colliding bodies. Rheological structures are used to represent the elastic-dissipative features of colliding bodies or shock-absorbing devices. Mathematical descriptions of impacts were formulated. Based on the derived non-linear differential equations, programs for computer simulation were built. The results of the calculations are presented in the form of displacement and contact force histories.
1. INTRODUCTION
The impact is a short-lived phenomenon of energy exchange between colliding bodies.
As a result, the velocities of colliding bodies change rapidly and the reactions are impulsive in nature what means that the interactions are short-lived and reach large values. Within the classical impact theory of rigid bodies it is assumed that the collision phenomenon results with discontinuous change of velocities and the reaction are modeled as impulses.
However, such idealization may not be valid in many mechanical problems especially when we need to evaluate the history of reaction within a short time of collision. (…)
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Source: Logistyka Magazine
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