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)
2006
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]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/9551
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