Abstract
The last chapter of the book contains some final comments and open questions, motivating possible extensions of the presented results in different research directions.
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References
Ammann OH, von Kármán T, Woodruff GB (1941) The failure of the Tacoma Narrows Bridge. Federal Works Agency
Autuori G, Pucci P, Salvatori MC (2009) Asymptotic stability for nonlinear Kirchhoff systems. Nonlinear Anal Real World Appl 10:889–909
Bonheure D, Gazzola F, Moreira dos Santos E (2019) Periodic solutions and torsional instability in a nonlinear nonlocal plate equation. SIAM J Math Anal 51:3052–3091
Braess D, Sauter S, Schwab C (2011) On the justification of plate models. J Elast 103:53–71
Chueshov I, Dowell EH, Lasiecka I, Webster JT (2016) Nonlinear elastic plate in a flow of gas: recent results and conjectures. Appl Math Optim 73:475–500
Garrione M, Gazzola F (2020) Linear theory for beams with intermediate piers. Commun Contemp Math
Gazzola F (2015) Mathematical models for suspension bridges. Vol 15, MS&A, Springer
Grunau H-Ch (2009) Nonlinear questions in clamped plate models. Milan J Math 77:171–204
Grunau H-Ch, Sweers G (2014) A clamped plate with a uniform weight may change sign. Discrete Contin Dyn Syst Ser S 7:761–766
Jurado JA, Hernández S, Nieto F, Mosquera A (2011) Bridge aeroelasticity, sensitivity analysis and optimal design. WIT Press, Southampton
Lasiecka I, Webster JT (2016) Feedback stabilization of a fluttering panel in an inviscid subsonic potential flow. SIAM J Math Anal 48:1848–1891
Nazarov SA, Stylianou A, Sweers G (2012) Hinged and supported plates with corners. Zeit Angew Math Physik 63:929–960
Podolny W (2011) Cable-suspended bridges. In: Brockenbrough RL, Merritt FS (eds) Structural steel designer’s handbook: AISC, AASHTO, AISI, ASTM, AREMA, and ASCE-07 design standards, 5th edn. McGraw-Hill, New York
Pucci P, Saldi S (2017) Asymptotic stability for nonlinear damped Kirchhoff systems involving the fractional \(p\)-Laplacian operator. J Differ Equ 263:2375–2418
Russell JS (1841) On the vibration of suspension bridges and other structures; and the means of preventing injury from this cause. Transactions of the Royal Scottish Society of Arts 1
Ventsel E, Krauthammer T (2001) Thin plates and shells: theory: analysis, and applications. CRC Press, Boca Raton
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Garrione, M., Gazzola, F. (2019). Final Comments and Perspectives. 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_5
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DOI: https://doi.org/10.1007/978-3-030-30218-4_5
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