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

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.

[1]  É. Savin.  DYNAMIC AMPLIFICATION FACTOR AND RESPONSE SPECTRUM FOR THE EVALUATION OF VIBRATIONS OF BEAMS UNDER SUCCESSIVE MOVING LOADS , 2001 .

[2]  Usik Lee.  SEPARATION BETWEEN THE FLEXIBLE STRUCTURE AND THE MOVING MASS SLIDING ON IT , 1998 .

[3]  Massood Mofid,et al.  Discrete element analysis of dynamic response of Timoshenko beams under moving mass , 2002 .

[4]  L Fryba,et al.  VIBRATION OF SOLIDS AND STRUCTURES UNDER MOVING LOADS (3RD EDITION) , 1999 .

[5]  Wodek Gawronski,et al.  Advanced Structural Dynamics and Active Control of Structures , 2004 .

[6]  Xinqun Zhu,et al.  PRECISE TIME-STEP INTEGRATION FOR THE DYNAMIC RESPONSE OF A CONTINUOUS BEAM UNDER MOVING LOADS , 2001 .

[7]  J. A. Gbadeyan,et al.  Dynamic behaviour of beams and rectangular plates under moving loads , 1995 .

[8]  Jia-Jang Wu,et al.  Transverse and longitudinal vibrations of a frame structure due to a moving trolley and the hoisted object using moving finite element , 2008 .

[9]  Matthew P. Cartmell,et al.  The use of finite element techniques for calculating the dynamic response of structures to moving loads , 2000 .

[10]  H. S. Zibdeh,et al.  VIBRATION ANALYSIS OF BEAMS WITH GENERAL BOUNDARY CONDITIONS TRAVERSED BY A MOVING FORCE , 2000 .

[11]  Chin An Tan,et al.  Direct Numerical Procedure for Solution of Moving Oscillator Problems , 2000 .

[12]  Z. Abduljabbar,et al.  A DYNAMIC GREEN FUNCTION FORMULATION FOR THE RESPONSE OF A BEAM STRUCTURE TO A MOVING MASS , 1998 .

[13]  Glenn R. Heppler,et al.  DYNAMIC RESPONSE OF AN OVERHEAD CRANE SYSTEM , 1998 .

[14]  A. Cifuentes.  Dynamic response of a beam excited by a moving mass , 1989 .

[15]  D. Ozer.  DYNAMIC ANALYSIS OF OVERHEAD CRANE BEAMS UNDER MOVING LOADS , 2008 .