The solution of the problem of free circulation of circular arcs by numerical analytical boundary elements method

Mykola Surianinov; Yurii Krutii; Anatolii Kovrov; Vladimir Osadchiy

doi:10.1051/e3sconf/202021102022

All issues

Volume 211 (2020)

E3S Web Conf., 211 (2020) 02022

References

Open Access

Issue		E3S Web Conf. Volume 211, 2020 The 1^st JESSD Symposium: International Symposium of Earth, Energy, Environmental Science and Sustainable Development 2020


Article Number		02022
Number of page(s)		11
Section		General Environmental Modelling
DOI		https://doi.org/10.1051/e3sconf/202021102022
Published online		25 November 2020

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[1] Murzintsev P P, Kosarev N S, Nikonov A V, 2015 Primenenie sputnikovyih GNSStehnologiy dlya obespecheniya nadvizhki arki Bugrinskogo mosta cherez reku Ob (Novosibirsk: Interekspo-Geo-Sibir vol 1 issue 1) pp 72–76 [Google Scholar]

[2] Sorokin E S, 1939 Kolebaniya arok vol 1 pp 107–110 [Google Scholar]

[3] Morgaevskiy A B, 1955 O kolebaniyah krugovoy arki v napravlenii, perpendikulyarnom k ee ploskosti vol 22 [Google Scholar]

[4] Chidamparam P and Leissa A W, 1993 Vibrations of planar curved beams, rings, and arches vol 46 no 9 pp 467–483 [Google Scholar]

[5] Palaninathan R and Chandrasekharan P S, 1985 Curved beam element stiffness matrix formulation Comput. Struct. 21 pp 663–669 [CrossRef] [Google Scholar]

[6] Ryu H S and Sin H C, 1996 Curved beam elements based on strained fields Commun. Numer. Methods Eng. 12 pp 767–773 [CrossRef] [Google Scholar]

[7] Litewka P and Rakowski J, 1997 An efficient curved beam finite element Int. J Numer Methods Eng. 40 pp 2629–2652 [CrossRef] [Google Scholar]

[8] Litewka P and Rakowski J, 1998 The exact thick arch finite element Comput. Struct. 68 pp 369–379 [CrossRef] [Google Scholar]

[9] Iman Dayyani, Michael I Friswell, Erick I Saavedra Flores, 2014 A general super element for a curved beam. Int. Journal of Solids and Structures 51 pp 2931–2939 [CrossRef] [Google Scholar]

[10] Wu J S, Lin F T, Shaw H J, 2013 Free in-plane vibration analysis of a curved beam (arch) with arbitrary various concentrated elements Applied Mathematical Modelling 37 pp 7588–7610 [Google Scholar]

[11] Daschenko A F, Kolomiets L V, Orobey V F, Surianinov N G, 2010 Chislenno– analiticheskiy metod granichnyih elementov (Odessa: VMV) vol 1 p 416, vol 2 p 512 [Google Scholar]

[12] Orobey V F, Surianinov N G, 2011 Praktikum po resheniyu kraevyih zadach mehaniki (Odessa: Astroprint) p 408 [Google Scholar]

[13] Daschenko A F, Orobey V F and Surianinov N G, 2011 MATLAB v mehanike deformiruemogo tverdogo tela. Algoritmyi i programmyi (Harkov: Burun kniga) p 480 [Google Scholar]

[14] Orobey V F, Surianinov N G, 2011 Osnovnyie polozheniya chislenno-analiticheskogo varianta MGE (St. Petersburg: St. Petersburg Polytechnic Universities Press) vol 4(22) pp 33–39 [Google Scholar]

[15] Surianinov M G, Daschenko O F, BIlous V O, 2003 TeoretichnI osnovi dinamIki mashin (Odessa: Bahva) p 308 [Google Scholar]

[16] Lalin V.V., Dmitriev A.N., Dyakov S.F. Geometricheski nelineynoe deformirovanie i ustoychivost uprugih arok. Inzhenerno-stroitelnyiy zhurnal. 2019. Vol. 5(89). Pp. 39–51. DOI: 10.18720/MCE.89.4(rus) [Google Scholar]

[17] Le T., Lalin V.V., Bratashov A.A. Staticheskiy uchet vyisshih mod kolebaniy v zadachah dinamiki konstruktsiy. Inzhenerno-stroitelnyiy zhurnal. 2019. Vol. 4(88). Pp. 3–13. DOI: 10.18720/MCE.88.1(rus) [Google Scholar]

[18] Wu J.S., Lin F.T., Shaw H.J. Free in-plane vibration analysis of a curved beam (arch) with arbitrary various concentrated elements. Applied Mathematical Modelling. 2013. Vol. 37. Pp. 7588–7610. [CrossRef] [Google Scholar]