Scaling Of The Modal Response Of
A Simply-supported Rectangular Plate
Author(s)
R. D. Hampton, T. H. Li & L. K. Byers
Abstract
Actual military transports (such as ground vehicles or ships) are often not
acceptable for shock-response testing, for such reasons as cost, vehicle
availability, personnel availability, or time. If testing can be conducted on
scaled-down models, whether of the actual transports or of critical subsections,
the results might be usable to approximate the shock response of the full-scale
hardware, provided that appropriate scaling relationships can be developed.
Since many military vehicles and vessels have large structural portions
consisting of homogeneous flat plates, these elements serve as a logical starting
point for shock-response scaling efforts. This paper develops scaling
relationships for thin rectangular plates in simple support, subject to transverse
point-shock loads, under the assumptions of linearity, homogeneity, and
geometric similarity of the plate faces. The plates are also assumed to have the
same respective modal damping ratios, for corresponding modes. It is found that
simple scaling factors exist, between corresponding modal frequencies, and
between corresponding damped modeshapes. Further, via suitable discretization,
these factors can be used to provide simple scaling relationships between the
shock response of points on a scaled-down plate and that of corresponding
(scaled) points on the scaled-up plate.
Keywords: shock response, rectangular plates, modal analysis, model scaling.
Keywords
shock response, rectangular plates, modal analysis, model scaling
Related Book
Other papers in this volume
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