0
TECHNICAL PAPERS

Paradoxes in Rigid-Body Kinematics of Structures

[+] Author and Article Information
L. Mentrasti

Istituto di Scienza e Tecnica delle Costruzioni, Facoltà di Ingegneria, Università di Ancona, Via delle Brecce Bianche, 60131 Ancona, Italia

J. Appl. Mech 65(1), 218-222 (Mar 01, 1998) (5 pages) doi:10.1115/1.2789029 History: Received December 17, 1996; Revised July 12, 1997; Online October 25, 2007

Abstract

The paper discusses two paradoxes appearing in the kinematic analysis of interconnected rigid bodies: there are structures that formally satisfy the classical First and Second Theorem on kinematic chains, but do not have any motion. This can arise when some centers of instantaneous rotation (CIR) relevant to two bodies coincide with each other (first kind paradox) or when the CIRs relevant to three bodies lie on a straight line (second kind paradox). In these cases two sets of new theorems on the CIRs can be applied, pointing out sufficient conditions for the nonexistence of a rigid-body motion. The question is clarified by applying the presented theory to several examples.

Copyright © 1998 by The American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Tables

Errata

Discussions

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 Journal Articles
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