Comparison of Two Impact Simulation Methods Used for Nonlinear Vibroimpact Systems with Rigid and Soft Impacts

V A Bazhenov,O S Pogorelova,T G Postnikova

doi:10.1155/2013/485676

V A Bazhenov, O S Pogorelova + Show 1 more

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https://doi.org/10.1155/2013/485676

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Abstract

This paper compares the use of two impact simulation methods for two-degree-of-freedom nonlinear vibroimpact systems with rigid and soft impacts. These methods are (I) impact simulation by boundary conditions with the use of Newton's restitution coefficient based on stereomechanic shock theory and (II) impact simulation by contact interaction force based on quasistatic Hertz's contact theory. It is shown that both methods are applied and give the coinciding results for system with elastic rigid impact under periodic external loading. Loading curves built by parameter continuation method are confirming this result. Impact simulation by the second method is also fulfilled for vibroimpact system with rigid impact under random external loading. For vibroimpact system with soft impact, the simulation of impact by the second method gives a better result. The application of linear elastic force as contact one is possible too but the use of Hertz's contact force is more preferable. The authors consider that the impact simulation by Hertz contact interaction force gives good results for nonlinear vibroimpact systems with impacts of any kind if all limitations with Hertz's law used are observed.

Highlights

Impact and vibroimpact devices are widely used in engineering
These methods are (I) impact simulation by boundary conditions with Newton’s restitution coefficient based on stereomechanic shock theory and (II) impact simulation by contact interaction force based on quasistatic Hertz contact theory
To achieve the main goal, three auxiliary tasks were posed: (1) to verify the possibility and evaluate the quality of impact simulation by linear elastic force for soft impact, (2) to evaluate the quality of impact simulation by Hertz force under both periodic and random external loadings for rigid impact, (3) to build the loading curves by parameter continuation method when impact-simulating by both methods and to compare these curves

Summary

Introduction

Impact and vibroimpact devices are widely used in engineering. Their use is described convincingly and in detail in [1]. Simulation based on the stereomechanical shock theory considers that impact is instantaneous and neglects the bodies’ motion and their deformation during impact, so it does not allow one to write down traffic equations for all timebases, to determine real impact duration and contact force value One uses another way of impact simulation for vibroimpact systems investigation. The main aim of this paper is to compare the possibility of two impact simulation methods used for two kinds of twodegree-of-freedom vibroimpact systems, systems with rigid and soft impacts These methods are (I) impact simulation by boundary conditions with Newton’s restitution coefficient based on stereomechanic shock theory and (II) impact simulation by contact interaction force based on quasistatic Hertz contact theory. (3) to build the loading curves by parameter continuation method when impact-simulating by both methods and to compare these curves

Design Models and Movement Equations of Vibroimpact Systems

Impact Simulation by Boundary Conditions

Impact Simulation by the Contact Interaction Force

Findings

Conclusions