A Mass-Spring-Damper Model of a Bouncing Ball (Conference proceeding)

Authors

Mark L. Nagurka, Marquette UniversityFollow
Shuguang Huang, Marquette UniversityFollow

Document Type

Conference Proceeding

Language

eng

Publication Date

1-24-2005

Publisher

Institute of Electrical and Electronic Engineers (IEEE)

Source Publication

Proceedings of the 2004 American Control Conference

Source ISSN

0743-1619

Abstract

The mechanical properties of a vertically dropped ball, represented by an equivalent mass-spring-damper model, are related to the coefficient of restitution and the time of contact of the ball during one bounce with the impacting surface. In addition, it is shown that the coefficient of restitution and contact time of a single bounce are related to the total number of bounces and the total time elapsing between dropping the ball and the ball coming to rest. For a ball with significant bounce, approximate expressions for model parameters, i.e., stiffness and damping or equivalently natural frequency and damping ratio, are developed. Experimentally based results for a bouncing pingpong ball are presented.

Comments

Accepted version. Proceedings of the 2004 American Control Conference, (2004): 499-504. DOI. © 2018 IEEE. Used with permission.

Recommended Citation

Nagurka, Mark L. and Huang, Shuguang, "A Mass-Spring-Damper Model of a Bouncing Ball (Conference proceeding)" (2005). Mechanical Engineering Faculty Research and Publications. 176.
https://epublications.marquette.edu/mechengin_fac/176