Research Article
Impact Behavior of a Rotating Rigid Body with Impact and
Viscous Friction
Dorian Cojocaru
1
and Dan B. Marghitu
2
1
Department of Mechatronics and Robotics, University of Craiova, Craiova, Romania
2
Department of Mechanical Engineering, Auburn University, Auburn, AL 36849, USA
Correspondence should be addressed to Dorian Cojocaru; cojocaru@robotics.ucv.ro
Received 27 July 2020; Revised 11 September 2020; Accepted 17 October 2020; Published 3 November 2020
Academic Editor: Stylianos Georgantzinos
Copyright©2020DorianCojocaruandDanB.Marghitu.isisanopenaccessarticledistributedundertheCreativeCommons
AttributionLicense,whichpermitsunrestricteduse,distribution,andreproductioninanymedium,providedtheoriginalworkis
properly cited.
eimpactbetweenarotatinglinkandasolidflatsurfaceisconsidered.Fortheimpact,weconsiderthreedistinctperiods:elastic
period,elastoplasticperiod,andrestitutionperiod.AHertziancontactforceisconsideredfortheelasticperiod.Nonlinearcontact
forces developed from finite element analysis are used for the remaining two phases. e tangential effect is taken into account
consideringafrictionforcethatcombinestheCoulombdryfrictionmodelandaviscousfrictionfunctionofvelocity.Simulations
results are obtained for different friction parameters. An experimental setup was designed to measure the contact time during
impact. e experimental and simulation results are compared for different lengths of the link.
1. Introduction
e study of the mechanical impact has a very long history
starting from Maclaurin, Newton, and Poisson. ey have
produced impressive number of studies for different ap-
plications, and a diversity of practical benches were used to
verify the theoretical approaches.
An important improvement for this technical domain
was produced through the development of new modern
fieldsofengineeringascomputeraideddesign,robotics,and
biomechanics. Modern sensors, high speed image acquisi-
tion, and processing devices and increased computer re-
sourcesbettersupporttheabilityforpracticalverificationof
the theoretical models. e diversity of applications must
take into consideration the shape of impacting bodies, the
materials, and the dynamics conditions including angles,
speeds, accelerations and frictions.
Differentsurfacesfortheimpactwereconsidered:rod
withaflatsurface[1],spherewithaflat[2,3],rotorsystem
into a film damper [4], elastic wedges [5], sphere on a
beam[6],anisotropicbisinusoidalsurfaceandarigidbase
[7], cylindrical body with a rigid plane [8], superball [9],
tennis ball with a racket [10], and 3D-printed polymers
under collision with a rigid rod [11]. Different types of
behaviors depending of the nature of the constituent
materials of the impacting bodies were studied: elasto-
plasticimpact[2,3,6,8,12–14],nonlinearelastic[1,15],
elastic [16], elastic-perfectly plastic [17], and nearly
complete elastic [14, 18]. e material properties were
studied from the point of view of the influence of the
impact behavior: incompressible isotropic [5], nano-
particles [15], 3D-printed polymers [11], transmembrane
domains [19], stable CuO nanoparticle enhanced lubri-
cants [16], Al-6061 instrumented spherical micro-
indentation and microstructurally graded samples [20],
and various finishes [21]. e direction of the impact is
another factor to be considered in modeling the impact:
normal [6], oblique [10, 13, 22], normal, and tangential
[7].
Frictioncouldhaveanimportanteffectinmanypractical
applicationsandbyconsequencethetheoreticalmodelmust
be adapted. Studies have considered the effect of friction in
combination with other influences such as strain hardening
[12], wear [15], lubrication [16], and deformation [22].
Better solutions for applications involving impacts with
friction were proposed as the treatment of impact for the
Hindawi
Mathematical Problems in Engineering
Volume 2020, Article ID 5471629, 11 pages
https://doi.org/10.1155/2020/5471629