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Minimization of vibration in elastic beams with time-variant boundary conditionsThis paper presents an innovative method for minimizing the vibration of structures with time-variant boundary conditions (supports). The elastic body is modeled in two ways: (1) the first model is a letter seven type beam with a movable mass not to exceed the lower tip; (2) the second model has an arm that is a hollow beam with an inside mass with adjustable position. The complete solutions to both problems are carried out where the body is undergoing large rotation. The quasi-static procedure is used for the time-variant boundary conditions. The method developed employs partial differential equations governing the motion of the beam, including the effects of rigid-body motion, time-variant boundary conditions, and calculus of variations. The analytical solution is developed using Laplace and Fourier transforms. Examples of elastic robotic arms are given to illustrate the effectiveness of the methods developed.
Document ID
19920067887
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Amirouche, F. M. L.
(NASA Lewis Research Center Cleveland, OH, United States)
Xie, Mingjun
(Illinois, University Chicago, United States)
Date Acquired
August 15, 2013
Publication Date
October 1, 1992
Publication Information
Publication: Journal of Guidance, Control, and Dynamics
Volume: 15
Issue: 5 Se
ISSN: 0731-5090
Subject Category
Structural Mechanics
Accession Number
92A50511
Funding Number(s)
CONTRACT_GRANT: NAG3-1092
Distribution Limits
Public
Copyright
Other

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