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Tytuł artykułu

Vibrations and Stability of a Column Subjected to the Specific Load Realized by Circular Elements of Heads

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Research into columns subjected to a specific load considering a constructional solution consisting of circular elements is an aim of the paper. The boundary problem of stability and free vibrations of the considered system for a generalised load by a force directed towards the positive pole was formulated on the basis of Hamilton’s principle. The boundary conditions concerning the load by a follower force directed towards the positive pole were deduced on the basis of the boundary conditions of the column subjected to a generalised load by a force directed towards the positive pole. In this paper, the load by the follower force was treated as a special case of the generalised load by a force directed towards the positive pole. Apart from the formulation of and solution to the boundary problem of the columns subjected to the specific load, the results of numerical computations connected to the static problem and free vibrations of the considered systems were also presented.
Rocznik
Strony
197--206
Opis fizyczny
Bibliogr. 23 poz.
Twórcy
autor
  • Institute of Mechanics and Machine Design Foundations Częstochowa University of Technology Dąbrowskiego 73, 42-200 Częstochowa, Poland
autor
  • Institute of Mechanics and Machine Design Foundations Częstochowa University of Technology Dąbrowskiego 73, 42-200 Częstochowa, Poland
Bibliografia
  • [1] Leipholz, H. H. E.: On Conservative Elastic Systems of the First and Second Kind, Ingenieur-Archiv, 43, 255–271, 1974.
  • [2] Tomski, L.: Prebuckling Behaviour of Compound Column – Direct Nonlinear Analysis, Z. Angew. Math. U. Mech., 65(1), 59–61, 1985.
  • [3] Tomski, L., Szmidla, J.: Local and global instability and vibration of overbraced Euler’s column, Journal of Theoretical and Applied Mechanics, 41(1), 137–154, 2003.
  • [4] Uzny, S.: Local and global instability and vibrations of a slender system consisting of two coaxial elements, Thin-Walled Structures, 49, 618–626, 2011.
  • [5] Gajewski, A.: Pewne problemy optymalnego kształtowania pręta ściskanego siłą skierowaną do bieguna, Mechanika Teoretyczna i Stosowana, 2(8), 159–173, 1970.
  • [6] Gajewski, A. and Życzkowski, M.: Optima shaping of an Elastic Homogeneous Bar Compresed by Polar Force, Biulletyn de L`Academie Polonaise des Sciences, 17(13), 479–488, 1969.
  • [7] Gajewski, A. and Życzkowski, M.: Optymalne kształtowanie pręta ściskanego siłą skierowaną do bieguna, Rozprawy Inżynierskie, 2(17), 299–329, 1969.
  • [8] Tomski, L., Gołębiowska-Rozanow, M. and Szmidla, J.: Free Vibration of a Column Loaded by a Force and Bending Moment, Vibrations in Physical Systems, 16, Poznań – Błażejewko, 317–319, 1994.
  • [9] Tomski, L., Przybylski, J., Gołębiowska-Rozanow, M. and Szmidla, J.: Vibration and stability of an elastic column subject to a generalized load, Archive of Applied Mechanics, 67, 105–116, 1996.
  • [10] Tomski, L., Przybylski, J., Gołębiowska-Rozanow M. and Szmidla, J.: Vibration and stability of a cantilever column subject to a follower force passing through a fixed point, Journal of Sound and Vibration, 214(1), 67–81, 1998.
  • [11] Tomski, L. and Szmidla, J.: Vibration and Stability of Column Subjected to Generalised Load by a Force Directed Towards a Pole, Journal of Theoretical and Applied Mechanics, 42(1), 163–193, 2004.
  • [12] Tomski, L., Szmidla, J. and Gołębiowska-Rozanow, M.: Vibrations and Stability of a Two–Rod Column Loaded by A Sector of a Rolling Bearing, Journal of Theoretical and Applied Mechanics, 42(5), 905–926, 2004.
  • [13] Tomski, L. and Uzny, S.: Chosen slender systems in aspect of possibility of specific load realization, Vibrations in Physical Systems, 24, Poznań – Będlewo, 429–434, 2010.
  • [14] Tomski, L. and Uzny, S.: Free vibration and the stability of a geometrically non–linear column loaded by a follower force directed towards the positive pole, International Journal of Solids and Structures, 45(1), 87–112, 2008.
  • [15] Tomski, L. and Uzny, S.: Vibration and stability of geometrically non–linear column subjected to generalised load by a force directed towards the positive pole, International Journal of Structural Stability and Dynamics, 8(1), 1–24, 2008.
  • [16] Tomski, L. and Uzny, S.: The new realization of the specific load – free vibrations of a column, Dynamical Systems, Analytical/Numerical Methods, Stability, Bifurcation and Chaos, Łódź, 301-306, 2011.
  • [17] Uzny, S.: Free Vibrations of an Elastically Supported Geometrically Nonlinear Column Subjected to a Generalized Load with a Force Directed toward the Positive Pole, Journal of Engineering Mechanics-ASCE, 137(14), 740-748, 2011.
  • [18] Ochoa, A. and Dario, J.: Static stability of beam–columns under combined conservative and nonconservative end forces: Effects of semirigid connections, J. Eng. Mech., 131(6), 473–484, 2005.
  • [19] Beck, M.: Die knicklast des einseitig eingespannten tangential gedruckten stabes, ZAMP, 3(4), 225–228, 1952.
  • [20] Langthjem, M. A. and Sugiyama, Y.: Dynamic stability of columns subjected to follower loads: a survey, Journal of Sound and Vibration, 238(6), 809–851, 2000.
  • [21] Nemat-Nasser, S. and Herrmann, G.: Adjoint Systems in Nonconservative Problems of Elastic Stability, AIAA J., 4(15), 2221-2222, 1966.
  • [22] Tomski, L. and Uzny, S.: The regions of flutter and divergence instability of a column subjected to Beck’s generalized load, taking into account the torsional flexibility of the loaded end of the column, Research Machanics Communications, 38, 95–100, 2011.
  • [23] Uzny, S.: An elastically supported geometrically nonlinear slender system subjected to a specific load in respect of bifurcational load and free vibrations, International Journal Bifurcation and Chaos, 21(13), 2983–2992, 2011.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-35c87506-e186-4a00-ac23-1d6428058dbc
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