The stochastic response of a coupled bending-torsion beam, carrying an arbitrary number of supports/masses, is investigated. Using the theory of generalized functions in conjunction with the Euler-St. Venant coupled bending-torsion beam theory, exact analytical solutions under stationary inputs are obtained based on frequency response functions derived by two different closed-form expressions. The analytical solutions are obtained for all response variables, considering any number of supports/masses along the beam and arbitrary spatial load distributions. Two numerical examples are reported.
Exact stochastic analysis of coupled bending-torsion beams with in-span supports and masses / Burlon, Andrea; Failla, Giuseppe; Arena, Felice. - In: PROBABILISTIC ENGINEERING MECHANICS. - ISSN 0266-8920. - 54:(2018), pp. 53-64. (Intervento presentato al convegno Stochastic Mechanics and Meccanica Stocastica tenutosi a Capri, Italy nel 12-15 June 2016) [10.1016/j.probengmech.2017.07.002].
Exact stochastic analysis of coupled bending-torsion beams with in-span supports and masses
BURLON ANDREA
;FAILLA GIUSEPPE;ARENA FELICE
2018-01-01
Abstract
The stochastic response of a coupled bending-torsion beam, carrying an arbitrary number of supports/masses, is investigated. Using the theory of generalized functions in conjunction with the Euler-St. Venant coupled bending-torsion beam theory, exact analytical solutions under stationary inputs are obtained based on frequency response functions derived by two different closed-form expressions. The analytical solutions are obtained for all response variables, considering any number of supports/masses along the beam and arbitrary spatial load distributions. Two numerical examples are reported.File | Dimensione | Formato | |
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