Full Content is available to subscribers

Subscribe/Learn More  >

Analysis of Vibro-Impact Dynamical System Using Piecewise Linear Vector Fields

[+] Author Affiliations
Mikio Nakai

Otsu, Shiga, Japan

Paper No. DETC2009-87176, pp. 609-618; 10 pages
  • ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 1: 22nd Biennial Conference on Mechanical Vibration and Noise, Parts A and B
  • San Diego, California, USA, August 30–September 2, 2009
  • Conference Sponsors: Design Engineering Division and Computers in Engineering Division
  • ISBN: 978-0-7918-4898-2 | eISBN: 978-0-7918-3856-3
  • Copyright © 2009 by ASME


An analysis of the dynamic responses has been developed for all piecewise linear single-degree-of-freedom systems with boundaries for only displacement by applying analyses based on piecewise linear vector fields. Furthermore, a generalized solution methodology has been proposed for piecewise linear systems with boundaries for both displacement and time such as the system with parameters which give rise to separations due to clearances or backlash and for rotating machinery system with boundaries for both displacement and velocity. In this paper, this methodology was developed for analyzing dynamic responses of two vibro-impact systems: one with stops at both sides and another with a stop only at one side. In matrix representation for these systems, state variables can explicitly be expressed at each region as a function of the time when an orbit hits the stop. The time can be determined by the Brent method, and periodic solutions can then be obtained. Analytical solutions are validated on vibro-impact systems by using conventional method.

Copyright © 2009 by ASME



Interactive Graphics


Country-Specific Mortality and Growth Failure in Infancy and Yound Children and Association With Material Stature

Use interactive graphics and maps to view and sort country-specific infant and early dhildhood mortality and growth failure data and their association with maternal

Citing articles are presented as examples only. In non-demo SCM6 implementation, integration with CrossRef’s "Cited By" API will populate this tab (http://www.crossref.org/citedby.html).

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In