Yıl: 2011 Cilt: 16 Sayı: 1 Sayfa Aralığı: 171 - 182 Metin Dili: Türkçe İndeks Tarihi: 29-07-2022

Dynamic response of a beam due to an accelerating moving mass using moving finite element approximation

Öz:
Türkçe Öz Yok
Anahtar Kelime:

Konular: Matematik

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Öz:
In this study, the dynamic behaviour of a beam carrying accelerating mass is investigated. A MATLAB code was developed for numerical solutions. The accelerating moving mass that is travelling on the beam was modelled as a moving finite element in order to include inertial effects beside gravitation force of mass. Since the mass moves along the deflected curve of the beam, these effects are, respectively, the centripetal force, the inertia force, and the Coriolis force components of the moving mass. The effect of longitudinal force due to acceleration of the moving mass is also included. Dynamic response of the beam was obtained depending on the mass ratio (mass of the load / the mass of the beam) and the acceleration of the mass. Numerical results show the effectiveness of the method.
Anahtar Kelime:

Konular: Matematik
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
  • 1.Fryba, L., Vibration solids and structures under moving loads, Thomas Telford House, London, 1999.
  • 2.Cifiıentes A.O., Dynamic response of a beam excited by a moving mass. Finite Elements in Analysis and Design, 5, 237-246, 1989.
  • 3.Wu J.J., Transverse and longitudinal vibrations of a frame structure due to a moving trolley and the hoisted object using moving finite element. International Journal of Mechanical Sciences, 50, 613-625,2008.
  • 4.Clough RW, Penzien J., Dynamics of structures 3rd ed, Computers and Structures, Inc., Berkeley, 2003.
  • 5.Wilson E.L., Static and Dynamic Analysis of Structures, Chapter 20: Dynamic analysis by numerical integration, Computers and Structures Inc., Berkeley, 2002.
  • 6.Wodek K. Gawronski, Advanced structural dynamics and active control of structures, Springer-Verlag, New York, 2004.
  • 7.Oguamanam, D.C.D, Hansen, J.S., Heppler. G.R., Dynamic response of an overhead crane system, Journal of Sound and Vibration, 213(5), 889-906, 1998.
  • 8.Wu J.J., Whittaker, A.R., Cartmell, M.P., The use of finite element techniques for calculating the dynamic response of structures to moving loads, Computers and Structures, 78, 789-799, 2000.
  • 9.Yang B., Tan C.A., Bergman L.A., Direct numerical procedure for solution of moving oscillator problems, Journal of Engineering Mechanics, May, 462-469, 2000.
  • 10.Foda M.A., Abduljabbar Z., A dynamic green function formulation for the response of a beam structure to a moving mass, Journal of Sound and Vibration, 210,3, 295-306, 1998.
  • 11.Zhu X.Q., Law S.S., Precise time-step integration for the dynamic response of a continuous beam under moving loads, Journal of Sound and Vibration, 240, 5, 962-970, 2001.
  • 12.Abu Hilal, M. Zibdeh H.S., Vibration analysis of beams with general boundary conditions traversed by a moving force, Journal of Sound and Vibration, 229, 2, 377-388, 2000.
  • 13.Gbadeyan J.A., Oni S.T., Dynamic behaviour of beams and rectangular plates under moving loads, Journal of Sound and Vibration, 182, 5, 677-695, 1995.
  • 14.Lee U., Separation between the flexible structure and the moving mass sliding on it, Journal of Sound and Vibration, 209, 5, 867-877, 1998.
  • 15.Renard J., Taazount M., Transient responses of beams and plates subject to travelling load: Miscellaneous results, European Journal of Mechanics A/Solids, 21, 301-322, 2002.
  • 16.Savin E., Dynamic amplification factor and response spectrum for the evaluation of vibrations of beams under successive moving loads, Journal of Sound and Vibration, 248,2,267-288,2001.
  • 17.Wayou A.N.Y, Tchoukuegno R., Woafo P., Non-linear dynamics of an elastic beam under moving loads, Journal of Sound and Vibration, 273, 1101-1108, 2004.
  • 18.Wu J.J., Use of equivalent beam models for the dynamic analyses of beam plates under moving force, Computers and Structures, 81, 2749-2766, 2003.
  • 19.Yavari A., Nouri M., Mofid M., Discreet element analysis of dynamic response of Timoshenko beams under moving mass, Advances in Engineering Software, 33, 143-153,2002.
  • 20.Esen İ., Dynamic analysis of overhead crane beams under moving loads. PhD Thesis, Istanbul Technical University, 2008.
  • 21.Gerdemeli İ., Özer D., Esen İ., Dynamic analysis of overhead crane beam under moving loads. ECCOMAS 2008, Venice/Italy, 2008.
APA Esen İ (2011). Dynamic response of a beam due to an accelerating moving mass using moving finite element approximation. , 171 - 182.
Chicago Esen İsmail Dynamic response of a beam due to an accelerating moving mass using moving finite element approximation. (2011): 171 - 182.
MLA Esen İsmail Dynamic response of a beam due to an accelerating moving mass using moving finite element approximation. , 2011, ss.171 - 182.
AMA Esen İ Dynamic response of a beam due to an accelerating moving mass using moving finite element approximation. . 2011; 171 - 182.
Vancouver Esen İ Dynamic response of a beam due to an accelerating moving mass using moving finite element approximation. . 2011; 171 - 182.
IEEE Esen İ "Dynamic response of a beam due to an accelerating moving mass using moving finite element approximation." , ss.171 - 182, 2011.
ISNAD Esen, İsmail. "Dynamic response of a beam due to an accelerating moving mass using moving finite element approximation". (2011), 171-182.
APA Esen İ (2011). Dynamic response of a beam due to an accelerating moving mass using moving finite element approximation. Mathematical and Computational Applications, 16(1), 171 - 182.
Chicago Esen İsmail Dynamic response of a beam due to an accelerating moving mass using moving finite element approximation. Mathematical and Computational Applications 16, no.1 (2011): 171 - 182.
MLA Esen İsmail Dynamic response of a beam due to an accelerating moving mass using moving finite element approximation. Mathematical and Computational Applications, vol.16, no.1, 2011, ss.171 - 182.
AMA Esen İ Dynamic response of a beam due to an accelerating moving mass using moving finite element approximation. Mathematical and Computational Applications. 2011; 16(1): 171 - 182.
Vancouver Esen İ Dynamic response of a beam due to an accelerating moving mass using moving finite element approximation. Mathematical and Computational Applications. 2011; 16(1): 171 - 182.
IEEE Esen İ "Dynamic response of a beam due to an accelerating moving mass using moving finite element approximation." Mathematical and Computational Applications, 16, ss.171 - 182, 2011.
ISNAD Esen, İsmail. "Dynamic response of a beam due to an accelerating moving mass using moving finite element approximation". Mathematical and Computational Applications 16/1 (2011), 171-182.