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Study of Frictional and Impact Transients in Active-Passive Mechanical Pair

Michael Ruderman, Francesco De Rito

TL;DR

The study addresses frictional and vibro-impact transients in an active–passive mechanical pair by developing a hybrid framework that merges nonlinear Coulomb friction with Hertzian-type contact damping. It derives reduced hybrid dynamics using the relative coordinate $z = x_1 - x_2$ and a penetration state $p$, and validates the model against two tribological experiments on a dedicated testbed with steel and aluminum disks. The results demonstrate good agreement between measured responses and model predictions, confirming that frictional dissipation and restitution-based damping can be superposed to describe transients in nonsmooth mechanical systems. This work provides a practical modeling and identification approach for mechatronic applications such as clutches, backlash elements, and other interfaces where impact and friction coexist.

Abstract

We consider an active-passive mechanical pair in which the relative motion of the latter is constrained by the mechanical impact. The system dynamics is described by the previously introduced modeling frameworks of force transition and dissipation through the nonlinear Coulomb friction and structural damping, the later in accord with Hertzian contact theory. The focus of the recent study is on combining both interaction mechanisms, and the detailed experimental evaluation which discloses validity of the modeling assumptions. Such mechanical pair interactions can be found in various mechatronic systems and mechanisms, like for example clutches, backlash elements, sliding items on the shaking and inclining surfaces, conveyor belts and others. This practical study demonstrates and discusses the transients of a vibro-impact dynamics and shows theoretical developments in line with experimental evaluation.

Study of Frictional and Impact Transients in Active-Passive Mechanical Pair

TL;DR

The study addresses frictional and vibro-impact transients in an active–passive mechanical pair by developing a hybrid framework that merges nonlinear Coulomb friction with Hertzian-type contact damping. It derives reduced hybrid dynamics using the relative coordinate and a penetration state , and validates the model against two tribological experiments on a dedicated testbed with steel and aluminum disks. The results demonstrate good agreement between measured responses and model predictions, confirming that frictional dissipation and restitution-based damping can be superposed to describe transients in nonsmooth mechanical systems. This work provides a practical modeling and identification approach for mechatronic applications such as clutches, backlash elements, and other interfaces where impact and friction coexist.

Abstract

We consider an active-passive mechanical pair in which the relative motion of the latter is constrained by the mechanical impact. The system dynamics is described by the previously introduced modeling frameworks of force transition and dissipation through the nonlinear Coulomb friction and structural damping, the later in accord with Hertzian contact theory. The focus of the recent study is on combining both interaction mechanisms, and the detailed experimental evaluation which discloses validity of the modeling assumptions. Such mechanical pair interactions can be found in various mechatronic systems and mechanisms, like for example clutches, backlash elements, sliding items on the shaking and inclining surfaces, conveyor belts and others. This practical study demonstrates and discusses the transients of a vibro-impact dynamics and shows theoretical developments in line with experimental evaluation.
Paper Structure (7 sections, 8 equations, 6 figures)

This paper contains 7 sections, 8 equations, 6 figures.

Table of Contents

  1. Introduction
  2. Preliminaries
  3. Coupling via frictional interface
  4. Vibro-impact dynamics
  5. Experimental setup
  6. Comparison of the modeled and measured response
  7. Conclusions

Figures (6)

  • Figure 1: Action and reaction flow in active-passive pair.
  • Figure 2: Exemplary $(p,f)$ map for different $\alpha$ parameters.
  • Figure 3: Experimental setup of controlled active subsystem with passive mass put on the flat surface of the moving platform.
  • Figure 4: Schematic representation of the active-passive pair.
  • Figure 5: Measured and model fitted vibro-impact response.
  • ...and 1 more figures