We consider a multi-span continuous beam made up elastic elements modeled by the Timoshenko equation occupying Ω=[0,L]⊂R. The supports of the structure are located at the nodes Pn, n=1,…NP. We prove that the loading of the form g(t)Ξ(x) that acts orthogonally to Ω, over the structural system, with known temporal function g:R+→R, g∈C1, g(0)≠0, and Ξ∈H−1(Ω∖∪n=1Njavax.xml.bind.JAXBElement@4f2cfa40Pn), can be identified if the displacement history is known over any segment of the system over an interval of time that is long enough.
Identification of out-of-plane loads over multi-span Timoshenko beams
Morassi A.
2025-01-01
Abstract
We consider a multi-span continuous beam made up elastic elements modeled by the Timoshenko equation occupying Ω=[0,L]⊂R. The supports of the structure are located at the nodes Pn, n=1,…NP. We prove that the loading of the form g(t)Ξ(x) that acts orthogonally to Ω, over the structural system, with known temporal function g:R+→R, g∈C1, g(0)≠0, and Ξ∈H−1(Ω∖∪n=1Njavax.xml.bind.JAXBElement@4f2cfa40Pn), can be identified if the displacement history is known over any segment of the system over an interval of time that is long enough.File in questo prodotto:
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