On the Dynamics of Bodies With Continual Mass Variation

[+] Author and Article Information
L. Cveticanin

 Faculty of Technical Sciences, 21000 Novi Sad, Trg D Obradovica 6, Serbia

I. Kovacic

 Faculty of Technical Sciences, 21000 Novi Sad, Trg D Obradovica 6, Serbiaivanakov@uns.ns.ac.yu

J. Appl. Mech 74(4), 810-815 (Sep 29, 2006) (6 pages) doi:10.1115/1.2711231 History: Received February 24, 2006; Revised September 29, 2006

In this paper the differential equations of the general motion of the rigid body with continual mass variation are considered. The impact force and the impact torque that occur due to addition or separation of the body with velocity and angular velocity which differs from the velocity of mass center and angular velocity of the existing body are introduced. The theoretical consideration is applied for solving a real technical problem when the band winds up on the drum. The plane motion of the drum on which the band winds up is considered. The influence of the velocity of the band on the angular velocity of the drum and the motion of the drum mass center is obtained.

Copyright © 2007 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

Model of the mass addition system with position vectors of mass centers rS and rS2, velocities of mass centers vS, and u and angular velocities Ω and Ω2 of the bodies α and β before and rS1, vS1, and Ω1 of the system π after mass variation

Grahic Jump Location
Figure 2

Model of the drum with winding band




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