In this work a new method for the optimal design of generic elastic structures, subject to random dynamic loads, is proposed. Elastic structures are described as deterministic multi-degree of freedom systems in which the structural failure probability, referred to as a first crossing passage problem, is minimized. The proposed method is here applied to optimize the shape of a vertical column with an extra-mass located at the free top end, subject to a base acceleration modeled as a Gaussian, stationary, filtered stochastic process. The elastic threshold crossing probabilities are determined in a finite number of column sections and the objective function is assumed to be a measure of these probabilities. Finally, this measure is minimized under a constant weight constraint (or even under more general conditions)
Optimum reliability based design criteria for elastic structures subject to random dynamic loads / Trentadue, Francesco; Marano, Giuseppe Carlo. - In: INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY & DYNAMICS. - ISSN 0219-4554. - 6:4(2006), pp. 437-456. [10.1142/S021945540600212X]
Optimum reliability based design criteria for elastic structures subject to random dynamic loads
TRENTADUE, Francesco;MARANO, Giuseppe Carlo
2006-01-01
Abstract
In this work a new method for the optimal design of generic elastic structures, subject to random dynamic loads, is proposed. Elastic structures are described as deterministic multi-degree of freedom systems in which the structural failure probability, referred to as a first crossing passage problem, is minimized. The proposed method is here applied to optimize the shape of a vertical column with an extra-mass located at the free top end, subject to a base acceleration modeled as a Gaussian, stationary, filtered stochastic process. The elastic threshold crossing probabilities are determined in a finite number of column sections and the objective function is assumed to be a measure of these probabilities. Finally, this measure is minimized under a constant weight constraint (or even under more general conditions)I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.