Abstract
The functional framework for beams with intermediate piers is introduced. First, some results for the associated linear stationary problem are given, showing the possible loss of regularity of the solutions, due to the presence of the piers. Then, a spectral result characterizing the eigenvalues is stated and the explicit form of the associated eigenfunctions is provided, together with their nodal properties.
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References
Ammann OH, von Kármán T, Woodruff GB (1941) The failure of the Tacoma Narrows Bridge. Federal Works Agency
Garrione M, Gazzola F (2020) Linear theory for beams with intermediate piers. Commun Contemp Math
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Garrione, M., Gazzola, F. (2019). Functional Setting and Vibrating Modes for Symmetric Beams. In: Nonlinear Equations for Beams and Degenerate Plates with Piers. SpringerBriefs in Applied Sciences and Technology(). Springer, Cham. https://doi.org/10.1007/978-3-030-30218-4_2
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DOI: https://doi.org/10.1007/978-3-030-30218-4_2
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Publisher Name: Springer, Cham
Print ISBN: 978-3-030-30217-7
Online ISBN: 978-3-030-30218-4
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