Vibrations and Friction: Theoretical, Experimental and Numerical Studies

A special issue of Applied Mechanics (ISSN 2673-3161).

Deadline for manuscript submissions: closed (15 March 2023) | Viewed by 9296

Special Issue Editors


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Guest Editor
NRIA Institut National de Recherche en Informatique et en Automatique, I4S, Campus Beaulieu, 35042 Rennes, France
Interests: mechanical engineering; structural dynamics; nonlinear vibrations; contact and friction; friction damping; friction-induced vibrations; stability analysis; uncertainty quantification; optimisation
Department of Mechanical and Aerospace Engineering, Aerospace Centre of Excellence, Strathclyde University, Glasgow G1 1XJ, UK
Interests: mechanical engineering; structural dynamics; nonlinear vibrations; contact and friction; friction damping; friction-induced vibrations; stability analysis; uncertainty quantification; optimization
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Special Issue Information

Dear Colleagues,

Friction can be found in almost all engineering systems such as jointed structures in aircraft engines, deployable structures in spacecraft, braking systems in the automotive and railway industries, and drilling systems in the oil & gas industries. It is a major source of nonlinearity and uncertainty in engineering systems. It can lead to a significant implications for structural integrity such as fretting fatigue and wear, leading to significant energy wastage, surface damage, shorter service life cycle, and high maintenance costs. From a dynamical perspective, the strong nonlinearities arising from friction interfaces can lead to friction-induced vibrations in drilling systems and braking systems, resonance frequency shifts, and strong nonlinear modal interactions in jointed structures in aerospace/space applications. These nonlinear phenomena could obviously compromise the safety and reliability of these mechanical systems, often leading to structural failures, the sudden malfunction of a whole system, and high replacement costs. It is therefore critically important for engineers to understand and quantify these friction-related effects on the structural response in order to improve reliability and efficiency.

The Special Issue aims to call for theoretical, experimental, and numerical studies related to vibrations and friction. More particularly, it is dedicated to studies focused on the development of advanced and effective modelling and simulations for the study of such systems, but also on experimental studies that aim at analyzing vibrations in the presence of friction, propose new measurement techniques, or quantify uncertainties. Studies that propose an original use of artificial intelligence would also be appreciated. We invite high-quality original articles that focus on tackling these challenges for this Special Issue.

Considered applications could be jointed structures, friction dampers, braking squeal, tip-rubbing, brake noise, tuning chatter, etc.

Dr. Enora Denimal
Dr. Jie Yuan
Guest Editors

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Keywords

  • vibration
  • friction
  • contact dynamics
  • friction experimentation
  • friction-induced vibrations
  • contact instabilities
  • squeal
  • stick-slip
  • impact

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Published Papers (4 papers)

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Research

25 pages, 9242 KiB  
Article
Passive-Tuned Mass Dampers for the Pointing Accuracy Mitigation of VLBI Earth-Based Antennae Subject to Aerodynamic Gust
by Victor E. L. Gasparetto, Jackson Reid and Mostafa S. A. ElSayed
Appl. Mech. 2023, 4(3), 816-840; https://doi.org/10.3390/applmech4030042 - 13 Jul 2023
Cited by 1 | Viewed by 1340
Abstract
This paper proposes an optimization procedure to achieve the best configuration of multiple degrees of freedom Tuned Mass Dampers (TMDs) to mitigate the pointing error of Very-Long-Baseline Interferometry (VLBI) Earth-based radio antennae operating under aerodynamic gust conditions. In order to determine the optimum [...] Read more.
This paper proposes an optimization procedure to achieve the best configuration of multiple degrees of freedom Tuned Mass Dampers (TMDs) to mitigate the pointing error of Very-Long-Baseline Interferometry (VLBI) Earth-based radio antennae operating under aerodynamic gust conditions. In order to determine the optimum sets of TMDs, a Multi-Objective design optimization employing a genetic algorithm is implemented. A case study is presented where fourteen operational scenarios of wind gust are considered, employing two models of atmospheric disturbances, namely the Power Spectral Density (PSD) function with a statistical profile presented by the Davenport Spectrum (DS) and a Tuned Discrete Gust (TDG) modeled as a one-minus cosine signal. It is found that the optimal configurations of TMDs are capable of reducing the pointing error of the antenna by an average of 66% and 50% for the PSD and TDG gust excitation scenarios, respectively, with a mass inclusion of 1% of the total mass of the antenna structure. The optimal TMD parameters determined herein can be utilized for design and field implementation in antenna systems, such that their structural efficiency can be enhanced for radio astronomy applications. Full article
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18 pages, 6917 KiB  
Article
Stiction and Friction of Nano- and Microtextured Liquid Silicon Rubber Surface Formed by Injection Molding
by Christof Koplin, Dennis F. Weißer, Alexander Fromm and Matthias H. Deckert
Appl. Mech. 2022, 3(4), 1270-1287; https://doi.org/10.3390/applmech3040073 - 31 Oct 2022
Viewed by 2091
Abstract
The use of cross-linking polymers such as liquid silicone rubber (LSR) can replicate serviceable surfaces with nano- and microstructures via the injection molding process. Laser ablation can be used to introduce microstructures into molding tools, while nanostructures are generated via PVD coating processes [...] Read more.
The use of cross-linking polymers such as liquid silicone rubber (LSR) can replicate serviceable surfaces with nano- and microstructures via the injection molding process. Laser ablation can be used to introduce microstructures into molding tools, while nanostructures are generated via PVD coating processes on the tools. This is why nanostructures are built using self-organized layer growth. The aim of this study was to generate evidence of direction-dependent coefficients of friction of elastomeric surfaces in dry or lubricated contact in boundary friction. Models of the dry friction of elastomeric surfaces, such as Schallamach waves or stick-slip cycles, were used to describe the friction modulation of such surfaces. Assumptions for model contacts against smooth partners, both dry and with lubrication, as well as assumptions for the interaction of structures with smooth surfaces, were investigated. It was found that for elastomer surfaces with Shore hardness 50, nanostructures are suitable for creating a direction-dependent friction increase in static and sliding friction. Friction reductions with defined microstructures are possible if their periodicity seems to interact with the wavelength of possible Schallamach waves. The choice of lubrication determines the forced wetting of the contact, but due to the structuring, there is a continuous transition to mixed friction. Full article
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11 pages, 3501 KiB  
Article
Vibrations Affecting Stability and Edge Control of Snowboards
by Franz Konstantin Fuss
Appl. Mech. 2022, 3(3), 1052-1062; https://doi.org/10.3390/applmech3030059 - 17 Aug 2022
Cited by 2 | Viewed by 2096
Abstract
Background: During a carving turn, vibrations are induced at the heel of the snowboard through edge friction when the heel slips sideways and subsequently travel through and along the board to the shovel, which vibrates and affects the edge control. The purpose of [...] Read more.
Background: During a carving turn, vibrations are induced at the heel of the snowboard through edge friction when the heel slips sideways and subsequently travel through and along the board to the shovel, which vibrates and affects the edge control. The purpose of this study was to find a method for assessing the edge grip with a laser vibrometer. Method: Two boards, loaded and tilted at four different angles, were placed on a soft surface, with a shaker connected to the heel at the hindmost edge point. The shovel and particularly the frontmost edge point were scanned with a Polytec laser vibrometer. The frequency response functions of coherence, average shovel displacement, and displacement of the foremost edge point were recorded, and the latter was integrated for obtaining an edge mobility measure (EMM) to quantify the edge control. Results: Of the two boards compared, the shovel of board A was stiffer in the 1st and in the 3rd torsional mode, and the one of board B was stiffer in bending modes. The 2nd torsional mode was responsible for large edge vibrations and therefore for a diminished edge control. Shovel B had a smaller EMM at greater tilt angles, that is, less amplitude of the vibrations at the frontmost edge point, and therefore a better edge control. Shovel A, however, had a smaller EMM at smaller tilt angles. Conclusion: The method developed in this study provides a reliable test for assessment of edge control of a snowboard under standardized test conditions. Full article
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13 pages, 5851 KiB  
Article
Introducing an Open-Source Simulation Model for Track Rollers Considering Friction
by Jan Wenzel, Christoph Bienefeld, Alexander Kretschmer and Eckhard Kirchner
Appl. Mech. 2022, 3(2), 692-704; https://doi.org/10.3390/applmech3020041 - 18 Jun 2022
Viewed by 2527
Abstract
Locating bearing track rollers are used, for example, in monorail transport systems to enable relative movement between the rail and the shuttle. Due to the two-point contact, both radial and axial forces can be transmitted simultaneously. Since friction is involved, the state of [...] Read more.
Locating bearing track rollers are used, for example, in monorail transport systems to enable relative movement between the rail and the shuttle. Due to the two-point contact, both radial and axial forces can be transmitted simultaneously. Since friction is involved, the state of the art does not provide any calculation rules for the dimensioning and design. The development of a calculation model with sophisticated commercial software brings its difficulties since no plausibility check is possible using existing models. For this reason, a model based on analytical descriptions including the Hertzian and the elastic half space theories is presented in this paper. It bridges the gap between very simple approaches and widely developed commercial software. With this model, the contact forces, friction forces, surface tensions, relative velocities and subsurface stresses can be calculated for both free and driven rolling. The main advantages are that the model is easy to apply, and thus comparisons between different track roller designs can be made quickly. Full article
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