Falocchi, Alessio; Webster, Justin T. Analysis of a nonlinear fish-bone model for suspension bridges with rigid hangers in the presence of flow effects. (English) Zbl 07978244 Discrete Contin. Dyn. Syst. 45, No. 7, 2241-2280 (2025). MSC: 35B41 35L57 35Q74 74K20 74H40 70J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Garrione, Maurizio; Zanolin, Fabio Rich dynamics for a model arising in the study of suspension bridges. (English) Zbl 07948926 J. Nonlinear Sci. 35, No. 1, Paper No. 11, 31 p. (2025). MSC: 34B60 34C25 34C28 34B30 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Marchionna, Clelia; Panizzi, Stefano Instability results for a Hill equation coupled with an asymmetrically nonlinear oscillator. (English) Zbl 1543.34055 Commun. Pure Appl. Anal. 23, No. 2, 304-324 (2024). Reviewer: Cristian Vladimirescu (Craiova) MSC: 34D20 34B30 34C25 × Cite Format Result Cite Review PDF Full Text: DOI
Feola, Roberto; Giuliani, Filippo; Iandoli, Felice; Massetti, Jessica Elisa Local well posedness for a system of quasilinear PDEs modelling suspension bridges. (English) Zbl 1531.35172 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 240, Article ID 113442, 23 p. (2024). MSC: 35L57 35L77 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zouhair, Walid; Leiva, Hugo Controllability of suspension bridge model proposed by Lazer and McKenna under the influence of impulses, delays, and non-local conditions. (English) Zbl 1517.93012 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 30, No. 2, 123-133 (2023). MSC: 93B05 35Q93 74K10 93C20 × Cite Format Result Cite Review PDF Full Text: arXiv Link Link
Fogato, Matteo The role of boundary conditions in the torsional instability of suspension bridges. (English) Zbl 1501.35046 J. Math. Anal. Appl. 518, No. 2, Article ID 126729, 55 p. (2023). MSC: 35B35 35L71 35R09 37K55 × Cite Format Result Cite Review PDF Full Text: DOI
Lacarbonara, Walter; Formica, Giovanni; Arena, Andrea Nonlinear modeling of suspension bridges. (English) Zbl 1531.35311 Garrione, Maurizio (ed.) et al., Interactions between elasticity and fluid mechanics. Berlin: European Mathematical Society (EMS). EMS Ser. Ind. Appl. Math. 3, 193-211 (2022). MSC: 35Q74 35B32 74H45 74H55 × Cite Format Result Cite Review PDF Full Text: DOI
Fogato, Matteo Asymptotic finite-dimensional approximations for a class of extensible elastic systems. (English) Zbl 1496.35255 Math. Eng. (Springfield) 4, No. 4, Paper No. 25, 36 p. (2022). MSC: 35L90 35B35 35B40 74K10 × Cite Format Result Cite Review PDF Full Text: DOI
de Sousa, Robert; Minhós, Feliz; Fialho, João On coupled systems of Lidstone-type boundary value problems. (English) Zbl 1483.34023 Math. Model. Anal. 26, No. 3, 358-371 (2021). MSC: 34A34 34B10 34B15 47N20 × Cite Format Result Cite Review PDF Full Text: DOI
Afilal, Mounir; Feng, Baowei; Soufyane, Abdelaziz Optimal decay rates of a nonlinear suspension bridge with memories. (English) Zbl 1479.35084 Math. Methods Appl. Sci. 44, No. 17, 13170-13185 (2021). MSC: 35B40 35L53 35L71 35L76 35R09 74D99 93D15 93D20 × Cite Format Result Cite Review PDF Full Text: DOI DOI
Berchio, Elvise; Falocchi, Alessio; Ferrero, Alberto; Ganguly, Debdip On the first frequency of reinforced partially hinged plates. (English) Zbl 1459.35124 Commun. Contemp. Math. 23, No. 3, Article ID 1950074, 37 p. (2021). MSC: 35J40 35P15 74K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Crasta, Graziano; Falocchi, Alessio; Gazzola, Filippo A new model for suspension bridges involving the convexification of the cables. (English) Zbl 1440.35325 Z. Angew. Math. Phys. 71, No. 3, Paper No. 93, 28 p. (2020). MSC: 35Q74 74B20 74H55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Falocchi, Alessio Torsional instability and sensitivity analysis in a suspension bridge model related to the Melan equation. (English) Zbl 1508.74039 Commun. Nonlinear Sci. Numer. Simul. 67, 60-75 (2019). MSC: 74K05 34B15 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
de Sousa, Robert; Minhós, Feliz Coupled systems of Hammerstein-type integral equations with sign-changing kernels. (English) Zbl 1472.45006 Nonlinear Anal., Real World Appl. 50, 469-483 (2019). Reviewer: Alexandru Mihai Bica (Oradea) MSC: 45G10 45G15 45F15 47H10 × Cite Format Result Cite Review PDF Full Text: DOI
Garrione, Maurizio; Gazzola, Filippo Nonlinear equations for beams and degenerate plates with piers. (English) Zbl 1444.35006 SpringerBriefs in Applied Sciences and Technology. PoliMI. Cham: Springer (ISBN 978-3-030-30217-7/pbk; 978-3-030-30218-4/ebook). xiii, 103 p. (2019). MSC: 35-02 35B35 35L35 35L76 35L80 74K10 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Gazzola, Filippo; Wang, Yongda; Pavani, Raffaella Variational formulation of the Melan equation. (English) Zbl 1386.34040 Math. Methods Appl. Sci. 41, No. 3, 943-951 (2018). MSC: 34B15 74B20 74K10 47J30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gazzola, Filippo; Sperone, Gianmarco Thresholds for hanger slackening and cable shortening in the Melan equation for suspension bridges. (English) Zbl 1390.74107 Nonlinear Anal., Real World Appl. 39, 520-536 (2018). MSC: 74K05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Marchionna, Clelia; Panizzi, Stefano An instability result in the theory of suspension bridges. (English) Zbl 1359.37056 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 140, 12-28 (2016). MSC: 37C75 35G31 34C15 35G61 70K30 74K05 74K10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Arioli, Gianni; Gazzola, Filippo A new mathematical explanation of what triggered the catastrophic torsional mode of the tacoma narrows bridge. (English) Zbl 1432.74007 Appl. Math. Modelling 39, No. 2, 901-912 (2015). MSC: 74-10 74H45 74K05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Gazzola, Filippo; Berchio, Elvise The role of aerodynamic forces in a mathematical model for suspension bridges. (English) Zbl 1354.37084 Discrete Contin. Dyn. Syst. 2015, Suppl., 112-121 (2015). MSC: 37N10 35Q74 37C20 35B35 34C15 74K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gazzola, Filippo; Wang, Yongda Modeling suspension bridges through the von Kármán quasilinear plate equations. (English) Zbl 1333.35060 Carvalho, Alexandre N. (ed.) et al., Contributions to nonlinear elliptic equations and systems. A tribute to Djairo Guedes de Figueiredo on the occasion of his 80th birthday. Cham: Birkhäuser/Springer (ISBN 978-3-319-19901-6/hbk; 978-3-319-19902-3/ebook). Progress in Nonlinear Differential Equations and Their Applications 86, 269-297 (2015). MSC: 35J58 74K20 74K05 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
D’Ambrosio, Lorenzo; Lessard, Jean-Philippe; Pugliese, Alessandro Blow-up profile for solutions of a fourth order nonlinear equation. (English) Zbl 1325.34045 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 121, 280-335 (2015). Reviewer: Pavel Rehak (Brno) MSC: 34C11 × Cite Format Result Cite Review PDF Full Text: DOI Link
Berchio, Elvise; Gazzola, Filippo A qualitative explanation of the origin of torsional instability in suspension bridges. (English) Zbl 1375.74040 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 121, 54-72 (2015). MSC: 74H45 35Q74 74H20 74H55 74K10 35G31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gazzola, Filippo; Karageorgis, Paschalis Refined blow-up results for nonlinear fourth order differential equations. (English) Zbl 1325.34046 Commun. Pure Appl. Anal. 14, No. 2, 677-693 (2015). Reviewer: Satoshi Tanaka (Okayama) MSC: 34C11 34A12 × Cite Format Result Cite Review PDF Full Text: DOI
Gazzola, Filippo Mathematical models for suspension bridges. Nonlinear structural instability. (English) Zbl 1325.00032 MS&A. Modeling, Simulation and Applications 15. Cham: Springer (ISBN 978-3-319-15433-6/hbk; 978-3-319-15434-3/ebook). xxi, 259 p. (2015). Reviewer: Angela Slavova (Sofia) MSC: 00A71 74H45 35Q74 35B44 35B05 34A05 65N30 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Gazzola, Filippo; Jleli, Mohamed; Samet, Bessem On the Melan equation for suspension bridges. (English) Zbl 1321.34047 J. Fixed Point Theory Appl. 16, No. 1-2, 159-188 (2014). MSC: 34B60 34B10 47N20 34B15 74B20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Figueroa-López, Rodiak; Lozada-Cruz, German A semigroups theory approach to a model of suspension bridges. (English) Zbl 1340.47088 Electron. J. Qual. Theory Differ. Equ. 2013, Paper No. 51, 10 p. (2013). MSC: 47D06 35L20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Gazzola, Filippo Nonlinearity in oscillating bridges. (English) Zbl 1302.74022 Electron. J. Differ. Equ. 2013, Paper No. 211, 47 p. (2013). MSC: 74B20 74K10 74K20 34C15 × Cite Format Result Cite Review PDF Full Text: arXiv EMIS
Abdel-Rohman, Mohamed; John, Mariam J.; Hassan, Mohamed F. Compensation of time delay effect in semi-active controlled suspension bridges. (English) Zbl 1269.74161 J. Vib. Control 16, No. 10, 1527-1558 (2010). MSC: 74M05 74H45 × Cite Format Result Cite Review PDF Full Text: DOI
çavdar, Özlem; Bayraktar, Alemdar; Adanur, Süleyman; Başaǧa, Hasan Basri Stochastic finite element analysis of long-span bridges with CFRP cables under earthquake ground motion. (English) Zbl 1196.74268 Sādhanā 35, No. 3, 341-354 (2010). MSC: 74S05 86A17 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bruno, D.; Greco, F.; Lonetti, P. A parametric study on the dynamic behavior of combined cable-stayed and suspension bridges under moving loads. (English) Zbl 1423.74379 Int. J. Comput. Methods Eng. Sci. Mech. 10, No. 4, 243-258 (2009). MSC: 74H15 74S20 × Cite Format Result Cite Review PDF Full Text: DOI
Cheng, Jin; Cai, C. S.; Xiao, Ru Cheng Estimation of cable safety factors of suspension bridges using artificial neural network-based inverse reliability method. (English) Zbl 1194.74112 Int. J. Numer. Methods Eng. 70, No. 9, 1112-1133 (2007). MSC: 74H15 74S05 62N05 92B20 × Cite Format Result Cite Review PDF Full Text: DOI
Salvatori, Luca; Spinelli, Paolo A discrete 3D model for bridge aerodynamics and aeroelasticity: Nonlinearities and linearizations. (English) Zbl 1162.74349 Meccanica 42, No. 1, 31-46 (2007). MSC: 74F10 74H55 × Cite Format Result Cite Review PDF Full Text: DOI
Abdel-Rohman, Mohamed; John, Mariam Joseph Control of wind-induced nonlinear oscillations in suspension bridges using a semi-active tuned mass damper. (English) Zbl 1182.74154 J. Vib. Control 12, No. 10, 1049-1080 (2006). MSC: 74M05 74H45 74F10 × Cite Format Result Cite Review PDF Full Text: DOI
Abdel-Rohman, Mohamed; John, Mariam Joseph Control of wind-induced nonlinear oscillations in suspension bridges using multiple semi-active tuned mass dampers. (English) Zbl 1182.74153 J. Vib. Control 12, No. 9, 1011-1046 (2006). MSC: 74M05 74H45 74F10 × Cite Format Result Cite Review PDF Full Text: DOI
Fertis, Demeter G. Nonlinear structural engineering. With unique theories and methods to solve effectively complex nonlinear problems. (English) Zbl 1102.74002 Berlin: Springer (ISBN 3-540-32975-7/hbk). xiii, 339 p. (2006). Reviewer: Girish Ramaiah (Visakhapatnam) MSC: 74-02 74K99 74H45 × Cite Format Result Cite Review PDF
Abdel-Rohman, M. Design of a simple controller to control suspension bridge nonlinear vibrations due to moving loads. (English) Zbl 1182.74152 J. Vib. Control 11, No. 7, 867-885 (2005). MSC: 74M05 74H45 × Cite Format Result Cite Review PDF Full Text: DOI
Çevik, Mehmet; Pakdemirli, Mehmet Non-linear vibrations of suspension bridges with external excitation. (English) Zbl 1349.74163 Int. J. Non-Linear Mech. 40, No. 6, 901-923 (2005). MSC: 74H45 74B20 74K05 × Cite Format Result Cite Review PDF Full Text: DOI
Thoft-Christensen, P. Stochastic modeling and optimization of complex infrastructure systems. (English) Zbl 1328.74072 Cagnol, John (ed.) et al., System modeling and optimization. Proceedings of the 21st IFIP TC7 conference held in Sophia Antipolis, France, July 21–25, 2003. Boston, MA: Kluwer Academic Publishers (ISBN 1-4020-7760-2/hbk). IFIP, International Federation for Information Processing 166, 109-122 (2005). MSC: 74P10 74K99 × Cite Format Result Cite Review PDF Full Text: DOI
Liţcanu, Gabriela A mathematical model of suspension bridges. (English) Zbl 1099.74037 Appl. Math., Praha 49, No. 1, 39-55 (2004). Reviewer: Petr Nečesal (Plzeň) MSC: 74K10 35B10 74H45 35Q72 35A35 × Cite Format Result Cite Review PDF Full Text: DOI EuDML Link
Ahmed, N. U. A general mathematical framework for stochastic analysis of suspension bridges. (English) Zbl 0982.60059 Nonlinear Anal., Real World Appl. 1, No. 4, 457-483 (2000). Reviewer: Aleksandr D.Borisenko (Kyïv) MSC: 60H25 × Cite Format Result Cite Review PDF Full Text: DOI
McKenna, P. J.; Moore, K. S. Mathematics arising from suspension bridge dynamics: Recent developments. (English) Zbl 0951.34025 Jahresber. Dtsch. Math.-Ver. 101, No. 4, 178-195 (1999). Reviewer: Eryk Infeld (Warszawa) MSC: 34C25 34-02 34A40 × Cite Format Result Cite Review PDF
Peletier, L. A.; Troy, W. C. Multibump periodic travelling waves in suspension bridges. (English) Zbl 0909.35143 Proc. R. Soc. Edinb., Sect. A, Math. 128, No. 3, 631-659 (1998). Reviewer: I.Barashenkov (Rondebosch) MSC: 35Q72 74B20 35B10 × Cite Format Result Cite Review PDF Full Text: DOI
Tajčová, Gabriela Mathematical models of suspension bridges. (English) Zbl 1042.74535 Appl. Math., Praha 42, No. 6, 451-480 (1997). Reviewer: I. Hlaváček (Praha) MSC: 74K10 74H45 × Cite Format Result Cite Review PDF Full Text: DOI EuDML Link
Champneys, A. R.; McKenna, P. J. On solitary waves of a piecewise linear suspended beam model. (English) Zbl 0903.73031 Nonlinearity 10, No. 6, 1763-1782 (1997). MSC: 74H45 74K10 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI Link
Doole, S. H.; Hogan, S. J. A piecewise linear suspension bridge model: Nonlinear dynamics and orbit continuation. (English) Zbl 0855.34041 Dyn. Stab. Syst. 11, No. 1, 19-47 (1996). Reviewer: I.Grosu (Iaşi) MSC: 34C15 34C23 37-XX 34C37 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Z. Q.; Agar, T. J. A. Geometric nonlinear analysis of flexible spatial beam structures. (English) Zbl 0797.73056 Comput. Struct. 49, No. 6, 1083-1094 (1993). MSC: 74S05 74K10 × Cite Format Result Cite Review PDF Full Text: DOI
Semper, B. Finite element methods for suspension bridge models. (English) Zbl 0781.65109 Comput. Math. Appl. 26, No. 5, 77-91 (1993). MSC: 65R20 74S30 45J05 74H45 × Cite Format Result Cite Review PDF Full Text: DOI
Topping, B. H. V. (ed.) [Emkin, L. Z.; Newsome, S. L.; Spillers, W. R.; Vosburgh, A. M.; Sloan, T. D.; Rossney, D. F.; Sobaih, M.; Abdin, M. M.; Dickens, J. G.; Jones, L. L.; Bhatt, P.; Abdel Hafiz, L. M.; Green, D. R.; Richard, R. M.; Hsia, W.-K.; Chmielowiec, M.; Gründig, L.; Bahndorf, J.; Sack, R. L.; Arnholtz, D.; Templeman, A. B.; Kirsch, U.; Taye, S.; Levy, R.; Perng, H.-S.; Tam, T. K. H.; Jennings, A.; Saka, M. P.; Adeli, H.; Balasubramanyam, K. V.; Karihaloo, B. L.; Kanagasundaram, S.; Pasternack, S. C.; Gao, S.; Kawano, K.; Yamada, Y.; Venkatarama, K.; Azad, A. K.; Abdallah, M. K.; Baluch, M. H.; Agar, T. J. A.; Turvey, G. J.; Drinali, H.; Adan, M.; Sheinman, I.; Heinisuo, M.; Neureither, M.; Crisfield, M. A.; Crook, A. J. L.; Hinton, E.; Wong, F. L.; Topping, B. H. V.; Shiraishi, N.; Furuta, H.; Barnes, M. R.; Carneiro de Barros, R.; Papadrakakis, M.; Gantes, C. J.; Taniguchi, T.; Hover, K. C.; Yehia, N. A. B.; El-Hajj, A. H.; Christian, J.; Mir, S. U.; Grierson, D. E.; Cameron, G. E.; Fruchter, R.; Gluck, J.; Gold, Y. I.; Harrison, H. B.; Gunaratnam, D. J.] CIVIL-COMP 87. (Select. Proc. Third Intern. Conf. Civil Struct. Engin. Comput., 22-24 Sept. 1987, London, U.K.). (English) Zbl 0662.73001 Comput. Struct. 30, No. 3, Spec. Iss., 439-773 (1988). MSC: 74-04 74P99 74S99 74S30 74S05 74-06 × Cite Format Result Cite Review PDF Full Text: DOI
Franciosi, C.; Franciosi, V. Suspension bridge analysis using Lagrangian approach. (English) Zbl 0609.73087 Comput. Struct. 26, 499-512 (1987). MSC: 74S30 74H45 74E30 × Cite Format Result Cite Review PDF Full Text: DOI
Miyamoto, Y.; Iwasaki, S.; Deto, H. BEM approach to analysis of bridge structures. (English) Zbl 0618.73090 Boundary Elem. 8, Vol. 1, 487-496 (1986). MSC: 74S30 74E30 65L10 74K10 × Cite Format Result Cite Review PDF
Arzoumanidis, S. G.; Bieniek, M. P. Finite element analysis of suspension bridges. (English) Zbl 0573.73082 Comput. Struct. 21, 1237-1253 (1985). MSC: 74S05 74H45 74E30 74H50 74F10 × Cite Format Result Cite Review PDF Full Text: DOI
Sofronie, Ramiro Deflection theory of prestressed suspension bridges. (English) Zbl 0437.73051 Rev. Roum. Sci. Tech., Ser. Mec. Appl. 25, 605-624 (1980). MSC: 74E30 74F10 74K10 × Cite Format Result Cite Review PDF
Sofronie, Ramiro Actual shape of prestressed suspension bridges. (English) Zbl 0437.73050 Rev. Roum. Sci. Tech., Ser. Mec. Appl. 25, 455-460 (1980). MSC: 74E30 74K10 49S05 74K99 × Cite Format Result Cite Review PDF
Sofronie, Ramiro Minimal surface of prestressed suspension bridges. (English) Zbl 0422.73071 Rev. Roum. Sci. Tech., Ser. Mec. Appl. 25, 99-112 (1980). MSC: 74E30 × Cite Format Result Cite Review PDF
Sofronie, Ramiro Optimum shape of prestressed suspension bridges. (English) Zbl 0422.73070 Rev. Roum. Sci. Tech., Ser. Mec. Appl. 24, 933-951 (1979). MSC: 74E30 × Cite Format Result Cite Review PDF
Petre, Augustin; Sofronie, Ramiro Aeroelastic stability of suspension bridges. (English) Zbl 0417.73068 Rev. Roum. Sci. Tech., Ser. Mec. Appl. 24, 819-832 (1979). MSC: 74E30 74F10 × Cite Format Result Cite Review PDF
Sofronie, Ramiro Torsional deflection of suspension bridges. (English) Zbl 0417.73067 Rev. Roum. Sci. Tech., Ser. Mec. Appl. 24, 647-664 (1979). MSC: 74E30 74F10 65K10 × Cite Format Result Cite Review PDF
Sofronie, Ramiro Vertical deflection of suspension bridges. (English) Zbl 0417.73066 Rev. Roum. Sci. Tech., Ser. Mec. Appl. 24, 485-505 (1979). MSC: 74E30 74F10 65K10 × Cite Format Result Cite Review PDF
Sofronie, Ramiro Dynamic distribution of lift on suspension bridges. (English) Zbl 0412.73045 Rev. Roum. Sci. Tech., Ser. Mec. Appl. 23, 925-938 (1978). MSC: 74F10 74H45 × Cite Format Result Cite Review PDF
Sofronie, Ramiro Static distribution of lift on suspension bridges. (English) Zbl 0403.73060 Rev. Roum. Sci. Tech., Ser. Mec. Appl. 23, 477-491 (1978). MSC: 74F10 74K10 70J25 × Cite Format Result Cite Review PDF