A new contact force model for low coefficient of restitution impact

Mohamed Gharib, Yildirim Hurmuzlu

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

Impact problems arise in many practical applications. The need for obtaining an accurate model for the inelastic impact is a challenging problem. In general, two approaches are common in solving the impact problems: the impulse-momentum and the compliance based methods. The former approach included the coefficient of restitution which provides a mechanism to solve the problem explicitly. While the compliance methods are generally tailored to solve elastic problems, researchers in the field have proposed several mechanisms to include inelastic losses. In this paper, we present correlations between the coefficient of restitution in the impulse-momentum based method and the contact stiffness in the compliance methods. We conducted numerical analysis to show that the resulting solutions are indeed identical for a specific range of impact conditions. The impulse-momentum based model is considered as a reference case to compare the post impact velocities. The numerical results showed that, the impulse-momentum and the compliance based methods can produce similar outcomes for specific range of coefficient of restitution if they satisfied a set of end conditions. The correlations lead to introduce a new contact force model with hysteresis damping for low coefficient of restitution impact.

Original languageEnglish
Article number064506
JournalJournal of Applied Mechanics, Transactions ASME
Volume79
Issue number6
DOIs
Publication statusPublished - 2012
Externally publishedYes

Fingerprint

Momentum
impulses
momentum
coefficients
impact velocity
Hysteresis
Numerical analysis
Damping
Stiffness
numerical analysis
stiffness
damping
hysteresis
Compliance

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

A new contact force model for low coefficient of restitution impact. / Gharib, Mohamed; Hurmuzlu, Yildirim.

In: Journal of Applied Mechanics, Transactions ASME, Vol. 79, No. 6, 064506, 2012.

Research output: Contribution to journalArticle

@article{6ad13959116a42cd84fd1c8dfd0e0869,
title = "A new contact force model for low coefficient of restitution impact",
abstract = "Impact problems arise in many practical applications. The need for obtaining an accurate model for the inelastic impact is a challenging problem. In general, two approaches are common in solving the impact problems: the impulse-momentum and the compliance based methods. The former approach included the coefficient of restitution which provides a mechanism to solve the problem explicitly. While the compliance methods are generally tailored to solve elastic problems, researchers in the field have proposed several mechanisms to include inelastic losses. In this paper, we present correlations between the coefficient of restitution in the impulse-momentum based method and the contact stiffness in the compliance methods. We conducted numerical analysis to show that the resulting solutions are indeed identical for a specific range of impact conditions. The impulse-momentum based model is considered as a reference case to compare the post impact velocities. The numerical results showed that, the impulse-momentum and the compliance based methods can produce similar outcomes for specific range of coefficient of restitution if they satisfied a set of end conditions. The correlations lead to introduce a new contact force model with hysteresis damping for low coefficient of restitution impact.",
author = "Mohamed Gharib and Yildirim Hurmuzlu",
year = "2012",
doi = "10.1115/1.4006494",
language = "English",
volume = "79",
journal = "Journal of Applied Mechanics, Transactions ASME",
issn = "0021-8936",
publisher = "American Society of Mechanical Engineers(ASME)",
number = "6",

}

TY - JOUR

T1 - A new contact force model for low coefficient of restitution impact

AU - Gharib, Mohamed

AU - Hurmuzlu, Yildirim

PY - 2012

Y1 - 2012

N2 - Impact problems arise in many practical applications. The need for obtaining an accurate model for the inelastic impact is a challenging problem. In general, two approaches are common in solving the impact problems: the impulse-momentum and the compliance based methods. The former approach included the coefficient of restitution which provides a mechanism to solve the problem explicitly. While the compliance methods are generally tailored to solve elastic problems, researchers in the field have proposed several mechanisms to include inelastic losses. In this paper, we present correlations between the coefficient of restitution in the impulse-momentum based method and the contact stiffness in the compliance methods. We conducted numerical analysis to show that the resulting solutions are indeed identical for a specific range of impact conditions. The impulse-momentum based model is considered as a reference case to compare the post impact velocities. The numerical results showed that, the impulse-momentum and the compliance based methods can produce similar outcomes for specific range of coefficient of restitution if they satisfied a set of end conditions. The correlations lead to introduce a new contact force model with hysteresis damping for low coefficient of restitution impact.

AB - Impact problems arise in many practical applications. The need for obtaining an accurate model for the inelastic impact is a challenging problem. In general, two approaches are common in solving the impact problems: the impulse-momentum and the compliance based methods. The former approach included the coefficient of restitution which provides a mechanism to solve the problem explicitly. While the compliance methods are generally tailored to solve elastic problems, researchers in the field have proposed several mechanisms to include inelastic losses. In this paper, we present correlations between the coefficient of restitution in the impulse-momentum based method and the contact stiffness in the compliance methods. We conducted numerical analysis to show that the resulting solutions are indeed identical for a specific range of impact conditions. The impulse-momentum based model is considered as a reference case to compare the post impact velocities. The numerical results showed that, the impulse-momentum and the compliance based methods can produce similar outcomes for specific range of coefficient of restitution if they satisfied a set of end conditions. The correlations lead to introduce a new contact force model with hysteresis damping for low coefficient of restitution impact.

UR - http://www.scopus.com/inward/record.url?scp=84867289669&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84867289669&partnerID=8YFLogxK

U2 - 10.1115/1.4006494

DO - 10.1115/1.4006494

M3 - Article

AN - SCOPUS:84867289669

VL - 79

JO - Journal of Applied Mechanics, Transactions ASME

JF - Journal of Applied Mechanics, Transactions ASME

SN - 0021-8936

IS - 6

M1 - 064506

ER -