Maximum Reliability Design Of Elastic
Structures Subject To Random Dynamic Loads
Author(s)
F. Trentadue & G. C. Marano
Abstract
In this work a new method for the optimal design of general elastic structures
subject to random dynamic loads is proposed. Elastic structures are described as
deterministic lumped multi degree of freedom systems and are based on
structural collapse probability minimization, referred to first crossing passage
failure case. The method here is applied to the shape optimization of a vertical
column with a given extra-mass at the free top end, subject to a base acceleration
modelled as a Gaussian stationary white noise, filtered throughout a second order
linear oscillator. In a finite number of column cross sections the elastic threshold
crossing probability is a determined and objective function assumed to be a
measure of these probabilities. This measure of reliability is maximized under a
constant weight constraint (or even under more general conditions).
1 Introduction
In many structural dynamic problems actions related to natural phenomena, as
seismic actions, wind loads and waves forces, have an intrinsic uncertain
character. These actions, modeled as stochastic processes, induce a structural
response that is a stochastic process too. Confident of these reasons, since the 60
years, in the field of structural dynamic the deterministic approach, where forces
and structural response are assumed as exactly known quantities, has been
surpassed thanks to the understanding that the stochastic approach consents a
more realistic evaluation of structural reliability.
Anyway, it is important to notice that forces acting on structures are not the
only sources of uncertainness in structural analysis, but many other physical
Keywords
Related Book
Other papers in this volume
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