The dynamic analysis of linear structures with uncertain parameters subjected to deterministic excitations is addressed. The fluctuating structural properties are modeled as uncertain-butbounded parameters via interval analysis. Based on the so-called affine arithmetic, a novel procedure for estimating the lower and upper bounds of the dynamic response is proposed. Basically, the method approximates the response as sum of the midpoint solution and a deviation obtained by superimposing the responses pertaining to each uncertain parameter separately taken. Once the sets of ordinary differential equations governing the midpoint and the deviation vectors are solved, the bounds of the response can be obtained by handy formulas.
Dynamic analysis of structures with uncertain-but-bounded parameters
MUSCOLINO, Giuseppe Alfredo;VERSACI, CLAUDIA
2012-01-01
Abstract
The dynamic analysis of linear structures with uncertain parameters subjected to deterministic excitations is addressed. The fluctuating structural properties are modeled as uncertain-butbounded parameters via interval analysis. Based on the so-called affine arithmetic, a novel procedure for estimating the lower and upper bounds of the dynamic response is proposed. Basically, the method approximates the response as sum of the midpoint solution and a deviation obtained by superimposing the responses pertaining to each uncertain parameter separately taken. Once the sets of ordinary differential equations governing the midpoint and the deviation vectors are solved, the bounds of the response can be obtained by handy formulas.Pubblicazioni consigliate
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