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Large amplitude free vibration analysis of tapered Timoshenko beams using coupled displacement field method

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Tapered beams are more efficient compared to uniform beams as they provide a better distribution of mass and strength and also meet special functional requirements in many engineering applications. In this paper, the linear and non-linear fundamental frequency parameter values of the tapered Timoshenko beams are evaluated by using the coupled displacement field (CDF) method and closed form expressions are derived in terms of frequency ratio as a function of slenderness ratio, taper ratio and maximum amplitude ratio for hinged-hinged and clamped-clamped beam boundary conditions. The effectiveness of the CDF method is brought out through the solution of the large amplitude free vibrations, in terms of fundamental frequency of tapered Timoshenko beams with axially immovable ends. The results obtained by the present CDF method are validated with the existing literature wherever possible.
Rocznik
Strony
673--688
Opis fizyczny
Bibliogr. 22 poz., rys., tab.
Twórcy
autor
  • Department of Mechanical Engineering, JNTUK Kakinada, AP, INDIA-533 003
autor
  • Department of Mechanical Engineering, JNTUK Kakinada, AP, INDIA-533 003
Bibliografia
  • [1] Abrate S. (1995): Vibration of non-uniform rods and beams. – Journal of Sound and Vibration, vol.185, No.4, pp.703–716.
  • [2] Byoung Koo Lee, Jong Kook Lee and, Tae Eun Lee and Sun Gi Kim (2002): Free vibrations of tapered Beams with general boundary condition. – (KSCE) Journal of Civil Engineering, vol.6, No.3, pp.283-288.
  • [3] De Rosa M.A. and Auciello N.M. (1996): Free vibrations of tapered beams with flexible ends. – Journal of Computers and Structures, vol.60, No.2, pp.197–202.
  • [4] De Rosa M. A. and Lippiello M. (2009): Natural vibration frequencies of tapered beams. – Journal of Engineering Transactions, vol.57, No.1, pp.45–66.
  • [5] Clementi F., Demeio L., Mazzilli C.E.N. and Lenci S. (2015): Nonlinear vibrations of non-uniform beams by the MTS asymptotic expansion method. – Continuum Mech. Thermodyn., vol.27, pp.703–717.
  • [6] Firouz-Abadi R.D., Haddadpour H. and Novinzadeh A.B. (2007): An asymptotic solution to transverse free vibrations of variable-section beams. – Journal of Sound and Vibration, vol.304, pp.530–540.
  • [7] Zamorska I. (2010): Free transverse vibrations of non- uniform beams. – Scientific Research of the Institute of Mathematics and Computer Science, vol.9, No.2, pp.244-250.
  • [8] Jung Woo Lee (2016): Free vibration analysis using the transfer-matrix method on a tapered beam. – Journal of Computers and Structures, vol.164, pp.75–82.
  • [9] Raju L.S., Raju K. and Rao G.V. (1976): Large amplitude free vibrations of tapered beams. – AIAA Journal, vol.14, No.2, pp.280-282.
  • [10] Mahmoud A.A., Abdelghany S.M. and Ewis K.M. (2013): Free vibrations of uniform and non uniform Euler beam using differential transformation method. – Asian Journal of Mathematics and Applications, vol.2013, article id ama0097, pp.1-16.
  • [11] MeeraSaheb., Rao K.G.V. and Janardhan G.R. (2007): Free vibration analysis of Timoshenko beams using coupled displacement field method. – Journal of Structural Engineering, vol.34, pp.233-236.
  • [12] Mehmet Cem Ece., Aydogdu M. and Taskin V. (2007): Vibration of a variable cross-section beam. – Journal of Mechanics Research Communications, vol.34, pp.78–84.
  • [13] Minmao Liao and Hongzhi Zhong (2008): Non-linear vibration analysis of taper Timoshenko beams. – Chaos, Solitons and Fractals, vol.36, pp.1267–1272.
  • [14] Mahmoud Bayat, Iman Pakar and Mahdi Bayat (2011): Analytical study on the vibration frequencies of tapered beams. – Latin Ameriacan Journal of Solids and Structures, vol.8. pp.149 -162.
  • [15] Mohamed Hussien Taha and Samir Abohadima (2008): Mathematical model for vibrations of non-uniform flexural beams. – Journal of Engineering Mechanics, vol.15, No.1, pp.3–11.
  • [16] Lewandowski R. (1987): Application of the Ritz method to the analysis of non linear free vibrations of beams. – Journal of Sound and Vibration, vol.114, pp.91-101.
  • [17] Ramazan A., Jafari-Talookolaei and Maryam Abedi (2014): An exact solution for the free vibration analysis of Timoshenko beams. – Review of Applied Physics, vol.3, pp.12-17.
  • [18] Rossi R.E. and Laura P.A.A. (1993): Numerical experiments on vibrating, linearly tapered Timoshenko beams. – Journal of Sound and Vibration, vol.168, No.1, pp.179-183.
  • [19] Si Yuan, Ye K., Xiao C., Williams F.W. and Kennedy D. (2007): Exact dynamic stiffness method for non-uniform Timoshenko beam vibrations and Bernoulli–Euler column buckling. – Journal of Sound and Vibration, vol.303, pp.526–537.
  • [20] Kukla S. and Zamojska I. (2005): Application of the Green’s function method in free vibration analysis of non uniform beams. – Scientific Research of the Institute of Mathematics and Computer Science, vol.4, No.1, pp.87-94.
  • [21] Hoseini S.H., Pirbodaghi T., Ahmadian M. T. and Farrahi G.H. (2009): The large amplitude free vibrations of tapered beams: an analytical approach. – Mechanics Research Communications, vol.36, pp.892–897.
  • [22] Zhou D. and Cheung Y.K. (2000): The free vibration of a type of tapered beams. – Journal of Comput. Methods Appl. Mech. Engrg, vol.188, pp.203-216.
Uwagi
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019)
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-3e54ad67-3d64-4e45-a5b8-02e55c638e89
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