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The dynamics of beams equipped with tuned mass dampers is of considerable interest in engineering applications. Here, the purpose is to introduce a comprehensive framework to address the stochastic response of the system under stationary and non-stationary loads, considering inertia effects along the spring of every tuned mass damper applied to the beam. For this, the key step is to show that a tuned...
The evaluation of creep effects in concrete structures is addressed in the literature using different predictive models, supplied by specific codes, and applying the concepts of linear viscoelastic theory with ageing. The expressions used in the literature are mainly based on exponential laws, which are introduced in the integral expression of the Boltzmann principle; this approach leads to the need...
Fractional hereditary materials are characterized for the presence, in the stress-strain relations, of fractional-order operators with order β∈[0,1]. In Di Paola and Zingales (J. Rheol. 56(5):983–1004, 2012) exact mechanical models of such materials have been extensively discussed obtaining two intervals for β: (i) Elasto-Viscous (EV) materials for 0≤β≤1/2; (ii) Visco-Elastic (VE) materials for 1/2≤...
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