ISSN: 0090-3973
Page Count: 8

Inverse Equivalent Elastic and Viscoelastic Loading Problems—Analytical and Computational Simulations of Experiments

Hilton, HH
Professor Emeritus of Aeropspace Engineering and Senior Academic Lead for Computational Structural/Solid Mechanics at the National Center for Supercomputing Applications,University of Illinois,IL,

(Received 3 May 2002; accepted 1 August 2003)

Abstract

Analytical protocols are presented for the determination of experimentally realizable relatively “simple” loading functions, consisting of concentrated loads that mimic actual quasistatic and/or dynamic more complicated loadings, to produce similar nearly equal equivalent deflection patterns. These computational simulations in essence represent a series of virtual experiments. Two protocols are formulated for the determination of equivalent loads. The first consists of “lumped loads” and in the second, Galerkin's method is used to determine the system of equivalent concentrated loads. The accuracy of the protocol is examined and shown that the simulation error can be made negligible with a manageable finite number of equivalent concentrated loads.

Keywords:
beams, computational simulations, elasticity, inverse loading problems, plates, virtual experiments, viscoelasticity

Paper ID: JTE12184J
DOI: 10.1520/JTE12184J
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