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Finite element dynamic analysis of non-uniform beams on variable one-parameter foundation subjected to uniformly distributed moving loads

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A general numerical analysis theory capable of describing the behaviour of a non-uniform beam resting on variable one parameter (Winkler) foundation under a uniform partially distributed moving load is developed. The versatile numerical solution technique employed is based on the finite element and Newmark integration methods. The analysis is carried out in order to evaluate the effect of the following parameters (i) the speed of the moving load (ii) the span length of the beam (iii) two types of vibrating configurations of the beam (iv) the load’s length and (v) the elastic foundation modulus, on the dynamic behaviour of the non-uniform beam resting on the variable one-parameter foundation. Numerical examples which showed that the above parameters have significant effects on the dynamic behaviour of the moving load problem are presented.
Rocznik
Strony
693--715
Opis fizyczny
Bibliogr. 33 poz., tab., wykr.
Twórcy
autor
  • Department of Mathematics, University of Lagos Akoka, Lagos, NIGERIA
  • Department of Mathematics, University of Ilorin Ilorin, NIGERIA
Bibliografia
  • [1] Abiala I.O. (2008): Vibration analysis of non-uniform beams under uniformly distributed moving loads using finite element method. – Ph.D Thesis, University of Ilorin, Ilorin.
  • [2] Ahmadian M., Esmailzadeh E. and Asgari M. (2006): Dynamic analysis of non-uniform cross sections beam under moving mass using finite element method. – Proceedings of the 4th CSME Forum, Calgari, Alberta, Canada, May 21st -23rd, pp.384-395.
  • [3] Akin J.E. and Mofid M. (1989): Numerical solution for response of beam with moving masses. – Journal of Structural Engineering, vol.115, No.1.
  • [4] Akpobi J.A. and Nkenwokeneme E.U. (2009): Finite element analysis of transverse vibrating of Euler-Bernoulli beams on elastic foundation. – Journal of Mathematical Association of Nigeria, vol.36, No.2, pp.06-21.
  • [5] Bolotin V. (1961): Problem of bridge vibration under the action of a moving load. – Izvestiya an USSR, Mechanika 1 Mashinostroenie, vol.4, pp.104-105.
  • [6] Chonany S. (1984): Dynamic response of a pre-stressed orthotropic thick strip to a moving line load. – Journal of Sound and Vibration, vol.93, No.3, pp.427-438.
  • [7] Dada M.S. (2003): Transverse vibration of Euler-Bernoulli beams on elastic foundation under mobile distributed masses. – Journal of the Nigerian Association of Mathematical Physics, NSI 7, pp.225-233.
  • [8] Dowell E.H. (1974): Dynamic analysis of elastic plate on a thin elastic foundation. – Journal of Sound and Vibration, vol.35, pp.345-360.
  • [9] Dugush Y.A. and Eisenberger M. (2002): Vibration of non-uniform continuous beams under moving loads. – Journal of Sound and Vibration, pp.911-927.
  • [10] Esmailzadeh E. and Ghorashi M. (1995): Vibration analysis of beams traversal by uniform partially distributed moving masses. – Journal of Sound and Vibration, vol.184, pp.8-17.
  • [11] Esmailzadeh E. and Ghorashi M. (1997): Vibration analysis of a Timoshenko beam subjected to a travelling mass. – Journal of Sound and Vibration, vol.199, No.4, pp.615-627.
  • [12] Fryba L. (1973): Vibration of solids and structures under moving loads. – ZAMM, vol.53, No.7, pp.502-503.
  • [13] Gbadeyan J.A. and Oni S.T. (1992): Dynamic response to moving concentrated masses of elastic foundation. – Journal of Sound and Vibration, vol.154, No.2, pp.343-358.
  • [14] Gbadeyan J.A. and Oni S.T. (1995): Dynamic behavior of beams and rectangular plates under moving loads. – Journal of Sound and Vibration, vol.182, No.5, pp.677-695.
  • [15] Gbadeyan J.A., Abiala I.O. and Gbolagade A.W. (2002): On the dynamic response of beams subjected to uniform partially distributed moving masses. – Nigerian Journal of Mathematics and Applications, pp.123-135.
  • [16] Gbadeyan J.A. and Dada M.S. (2007): The effect of linearly varying distributed moving loads on beams. – Journal of Engineering and Applied Sciences, vol.2, No.6, pp.1006-1011.
  • [17] Hillerborg A. (1951): Dynamic influences of smoothly running on simply supported girders. – Kungl. Tekn. Hogskolen, Stockholm.
  • [18] Inglis C.E. (1934): A Mathematical Treatise on vibration in Railway Bridges. – Cambridge University Press, Cambridge, UK and Macmillan New York, 203pp.
  • [19] Kolousek V. (1974): Dynamics of Civil Engineering Structures. Part 1. General problems. – 2nd ed SNTL, Prague.
  • [20] Krylov A.N. (1971): Dynamics of Civil Engineering Structures. Part 1: General problems. – Zed. SNTL, Prague.
  • [21] Kwon Y.W. and Bang H. (1996): The finite element method using MATLAB. – CRC Press, Boea Raton New York, London & Tokyo.
  • [22] Lowan A.N. (1935): On transverse oscillations of beams under the action of moving variable loads. – Philosophical Magazine, vol.19, No.27, pp.708-715.
  • [23] Michaltsos G.T., Sophianopoulos D. and Kounadis A.N. (1996): The effect of moving mass and other parameters on the dynamic response of a simply supported beam. – Journal of Sound and Vibration, vol.191, pp.357-362.
  • [24] Michaltsos G.T. and Kounadis A.N. (2001): The effect of centripetal and Coriolis forces on the dynamic response of light bridges under moving loads. – Journal of Vibration and Control, vol.7, pp.315-326.
  • [25] Newmark N.M. (1959): A method of computation for structural dynamics. – J. Eng. Mech; ASCE, pp.67-94.
  • [26] Reddy J.N. (1993): An Introduction to the Finite Element Method. – 2nd Ed. New York: Mc Grow –Hill.
  • [27] Sadiku S. and Leipholz H.H.E. (1995): On the dynamic of elastic systems with moving concentrated masses. – Ingenieur Achiv., vol.57, pp.223-242.
  • [28] Stanisic M.M. and Hardin J.C. (1968): On the response of beams to an arbitrary number of moving masses. – J. of the Franklin Institute, vol.287, pp.115-123.
  • [29] Stokes G. (1883): Discussion of a differential equation relating to the breaking of railway bridges. – Transaction of the Cambridge Philaraphical Society, vol.8, No.5, pp.707-705.
  • [30] Timoshenko S.P., Young D.H. and Weaver J.W. (1974): Vibration Problem in Engineering. – New York: Wiley.
  • [31] Wills R. (1849): Experiment for determining the effect producing by causing weights to travel over bars with different velocities. In report of the commissioners appointed to inquire into the application of iron to railway structures.
  • [32] Wu J.S. and Dai C.W. (1987): Dynamic response of multi-span non-uniform beams due to moving loads. – Journal of structural Engineering, vol.113, pp.458-474.
  • [33] Zimmemnann H. (1896): Die Schwingungen Eines Tragers mit Bewegler Lasts. – Centrallblatt der Bauverwaltung, vol.16, No.23, pp.249-251.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-ef2e21d2-d412-4828-8532-ab12f2a1503f
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