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Tytuł artykułu

Influence of rotary flexibility of joints on the statics and dynamics of the arch structures

Treść / Zawartość
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The paper presents arch structures modeled by finite elements in which the nodes can be flexibly connected. Two-node curved elements with three degrees of freedom at each node were used. Exact shape functions were adopted to obtain stiffness and consistent mass matrices but they were modified by introducing rotational flexibility in the boundary nodes. Calculations of statics and dynamics of arches with different positions of flexible joints and different values of rotational stiffness of the joints were carried out.
Rocznik
Strony
art. no. e144580
Opis fizyczny
Bibliogr. 17 poz., rys., tab.
Twórcy
  • Poznan University of Technology, Institute of Structural Analysis, ul. Piotrowo 5, 60-965 Poznan, Poland
  • Poznan University of Technology, Institute of Structural Analysis, ul. Piotrowo 5, 60-965 Poznan, Poland
  • Poznan University of Technology, Institute of Structural Analysis, ul. Piotrowo 5, 60-965 Poznan, Poland
Bibliografia
  • [1] J. Henrych, The dynamics of arches and frames. Elsevier, 1981.
  • [2] I.A. Karnovsky, The theory of arched structures. New York, Springer, 2012, doi: 10.1007/978-1-4614-0469-9.
  • [3] Z. Friedman and J. Kosmatka, “An accurate two-node finite element for shear deformable curved beams,” Int. J. Numer. Methods Eng., vol. 41, pp. 473–498, 1998, doi: 10.1002/(SICI)1097-0207(19980215)41:3<473::AID-NME294>3.0.CO;2-Q.
  • [4] F. Yang, R. Sedaghatia, and E. Esmailzadeh, “Free in-plane vibration of general curved beams using finite element method,” J. Sound Vibr., vol. 318, pp. 850–867, 2008, doi: 10.1016/j.jsv.2008.04.041.
  • [5] H. Stolarski and T. Belytschko, “Shear and membrane locking in curved C0 elements,” Comput. Meth. Appl. Mech. Eng., vol 41, pp. 279–296, 1983, doi: 10.1016/0045-7825(83)90010-5.
  • [6] P. Raveendranath, S. Gajbir, and B. Pradhan, “Free vibration of arches using a curved beam element based on a coupled polynomial displacement,” Comput. Struct., vol. 78, pp. 583–590, 2000, doi: 10.1016/S0045-7949(00)00038-9.
  • [7] P. Litewka and J. Rakowski, “The exact thick arch finite element,” Comput. Struct., vol. 68, pp. 369–379, 1998, doi: 10.1016/S0045-7949(98)00051-0.
  • [8] X. Tong, N. Mrad, and B. Tabarrok, “In-plane vibration of circular arches with variable cross-section,” J. Sound Vibr., vol. 212, no. 1, pp. 121–140, 1998, doi: 10.1006/jsvi.1997.1441.
  • [9] H. Öztürk, I. Yesilyurt, and M. Sabuncu, “In-plane stability analysis of non-uniform cross-sectioned curved beams,” J. Sound Vibr., vol. 296, pp. 277–291, 2006, doi: 10.1016/j.jsv.2006.03.002.
  • [10] A. Borković, B. Marussig, and G. Radenković, “Geometrically exact static isogeometric analysis of an arbitrarily curved spatial Bernoulli-Euler beam,” Comput. Meth. Appl. Mech. Eng., vol. 390, p. 114447, 2022, doi: 10.1016/j.cma.2021.114447.
  • [11] A.T. Luu, N.I. Kim, and J. Lee, “Isogeometric vibration analysis of free-form Timoshenko curved beams,” Meccanica, vol. 50, pp. 169–187, 2015, doi: 10.1007/s11012-014-0062-3.
  • [12] S.M. Lin and S.Y. Lee, “Closed-form solutions for dynamic analysis of extensional circular Timoshenko beams with general elastic boundary conditions,” Int. J. Solids Struct., vol. 38, pp. 227–240, 2001, doi: 10.1016/S0020-7683(00)00020-2.
  • [13] Y.B. Yang, C.L. Lin, J.D. Yau, and D.W. Chang, “Mechanism of resonance and cancellation for train-induced vibrations on bridges with elastic bearings,” J. Sound Vibr., vol. 269, pp. 345–360, 2004, doi: 10.1016/S0022-460X(03)00123-8.
  • [14] C. Zhuo, S.X. Xiang, and Y. Yingje, “Modal research of underground arch structure with elastic support,” J. Phys. Conf. Ser., vol. 1972, p. 012131, 2021, doi: 10.1088/1742-6596/1972/1/012131.
  • [15] M. Sekulovic, R. Salatic, and M. Nefrovska, “Dynamic analysis of steel frames with flexible connections,” Comput. Struct., vol. 80, pp. 935–955, 2002, doi: 10.1016/S0045-7949(02)00058-5.
  • [16] A.U. Öztürk, H.M. Catal, “Dynamic analysis of semi-rigid frames,” Math. Comput. Appl., vol. 10, no. 1, pp.1–8, 2005, doi: 10.3390/mca10010001.
  • [17] J. Rakowski, Exact curved elements in the finite element and boundary element methods, Poznań, Wydawnictwo Politechniki Poznańskiej, 2011. (in Polish).
Uwagi
Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-68896d5c-5a82-4686-838d-5a00c1309304
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