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The isolation limits of stochastic vibrationThe vibration isolation problem is formulated as a 1D kinematic problem. The geometry of the stochastic wall trajectories arising from the stroke constraint is defined in terms of their significant extrema. An optimal control solution for the minimum acceleration return path determines a lower bound on platform mean square acceleration. This bound is expressed in terms of the probability density function on the significant maxima and the conditional fourth moment of the first passage time inverse. The first of these is found analytically while the second is found using a Monte Carlo simulation. The rms acceleration lower bound as a function of available space is then determined through numerical quadrature.
Document ID
19930046045
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Knopse, C. R.
(NASA Lewis Research Center Cleveland, OH, United States)
Allaire, P. E.
(Virginia Univ. Charlottesville, United States)
Date Acquired
August 16, 2013
Publication Date
January 15, 1993
Publication Information
Publication: Journal of Sound and Vibration
Volume: 160
Issue: 2
ISSN: 0022-460X
Subject Category
Structural Mechanics
Accession Number
93A30042
Distribution Limits
Public
Copyright
Other

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