NONPROBABILISTIC MODELING OF DYNAMICALLY LOADED BEAMS UNDER UNCERTAINEXCITATIONS

Authors
SADEK IS SLOSS JM ADALI S BRUCH JC
Citation
Is. Sadek et al., NONPROBABILISTIC MODELING OF DYNAMICALLY LOADED BEAMS UNDER UNCERTAINEXCITATIONS, Mathematical and computer modelling, 18(11), 1993, pp. 59-67
Citations number
14
Categorie Soggetti
Mathematics,Mathematics,"Computer Science Interdisciplinary Applications","Computer Science Software Graphycs Programming
Journal title
Mathematical and computer modelling → ACNP
ISSN journal
08957177
Volume
18
Issue
11
Year of publication
1993
Pages
59 - 67
Database
ISI
SICI code
0895-7177(1993)18:11<59:NMODLB>2.0.ZU;2-7
Abstract
A nonprobabilistic model for a dynamically loaded beam is developed, w hen the forcing function and the initial conditions may contain uncert ain components. Uncertainty in these functions is required to be bound ed in the L2 norm and expressed using a finite number of eigenmodes. T he specific expressions are determined for the dynamic loads which yie ld the least favorable deflection. Numerical examples are given to ill ustrate the solution procedure and to assess the effect of various pro blem parameters.