Unilateral vibro-impact systems — Experimental observations against theoretical predictions based on the coefficient of restitution

Abstract

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Energy Dissipation Analysis for Elastoplastic Contact and Dynamic Dashpot Models

“…Since the energy dissipation during an impact is inevitable [35,61,62], the CoR severs as a crucial parameter used to represent the energy dissipation caused by the seismic waves [63] and the elastoplastic deformation during the contact of dissimilar bodies [11]. In general, there are three different formulations of CoR: (i) Newton' s CoR [9,16] is the ratio between the initial and the postimpact velocities; (ii) Poisson's CoR [10] is the ratio of the impulse between the compression and the recovery phases; (iii) Stronge's CoR [36] is the ratio of the work done by the contact forces between the compression and the recovery phases.…”

Numerical study on the response scenarios in a vibro-impact single-degree-of-freedom oscillator with two unilateral dissipative and deformable constraints

“…The types of impact motion, and the bifurcations from one motion to the other, that can occur in the dynamics of vibro-impact systems with motion limiting constraints, with the variation of selected parameters are the subject of several studies, of mainly numerical nature [47][48][49][50][51][52][53][54][55][56][57][58][59][60]. The study of the dynamics of a two-degree-of-freedom periodicallyforced system with symmetric motion limiting constraints, with emphasis on the transition between fundamental impact motions, together with the design and implementation of an electronic circuit, describing the dynamic characteristics of the non-smooth system, are presented in [52].…”

An improved compliant contact force model using a piecewise function for impact analysis in multibody dynamics

“…The COR may be related to material properties, pre-impact velocity and geometry of collision bodies. 21,22 The classical definition of COR proposed by Newton is the ratio between the post-impact velocity and the pre-impact velocity of the collision bodies 17,18,23 …”