Dynamic Analysis of A Symmetric Laminated Composite Beam Subjected to a Moving Load with Constant Velocity

Abstract

This study deals with the dynamic behavior of a symmetric laminated composite beam subjected to a concentrated force traveling at a constant velocity. The dynamic analyses for a fixed-fixed composite beam under the action of a moving load are carried out by the finite element method. A three-dimensional finite element model based on the classical lamination theory is used. The Newmark integration method is employed in order to calculate the dynamic response. A computer code is developed using MATLAB to perform the finite element vibration analysis. The dynamic magnification, which is defined as the ratio between the dynamic and static displacements is obtained for different load velocities and ply orientations. The results reported in this paper show that load velocity and ply orientation have significant effect on the dynamic response, especially for those with [90]_2s lay-up. For a fixed-fixed beam, the maximum mid-point deflection is observed when the total traveling time is equal to the first natural period of the beam.

Keywords

Dynamic magnification finite element analysis laminated composite beam Newmark integration moving load.

Get full access to this article

View all access options for this article.

References

Olsson, M. (1991). On the Fundamental Moving Load Problem, Journal of Sound and Vibration, 145: 299—307.

Rao, G.W. (2000). Linear Dynamics of an Elastic Beam under Moving Loads, Journal of Vibration and Acoustics , 122: 281—289.

Esmailzadeh, E. and Ghorashi, M. (1997). Vibration Analysis of a Timoshenko Beam Subjected to a Traveling Mass, Journal of Sound and Vibration, 199: 615—328.

Wang, R.T. (1997). Vibration of Multi-Span Timoshenko Beams to a Moving Force, Journal of Sound and Vibration, 207: 731—742.

Law, S.S. and Zhu, X.Q. (2000). Study on Different Beam Models in Moving Force Identification, Journal of Sound and Vibration, 254: 661—679.

Zibdeh, H.S. and Abu-Hilal, M. (2003). Stochastic Vibration of Laminated Composite Coated Beam Traversed by a Random Moving Load, Engineering Structures, 25: 397—404.

Bassiouni, A.S. , Gad-Elrab, R.M. and Elmahdy, T.H. (1999). Dynamic Analysis for Laminated Composite Beams, Composite Structures, 44: 81—87.

Banarjee, J.R. (1998). Free Vibration of Axially Loaded Composite Timoshenko Beams using the Dynamic Stiffness Matrix Method , Computers & Structures, 69: 197—208.

Kadivar, M.H. and Mohebpour, S.R. (1998). Forced Vibration of Unsymmetric Laminated Composite Beams under the Action of Moving Loads, Composites Science and Technology, 58: 1675—1684.

10.

Kadivar, M.H. and Mohebpour, S.R. (1998). Finite Element Dynamic Analysis of Unsymmetric Composite Laminated Beams with Shear Effect and Rotary Inertia under the Action of Moving Loads, Finite Element in Analysis and Design, 29: 259—273.

11.

Law, S.S. and Zhu, X.Q. (2004). Dynamic Behavior of Damaged Concrete Bridge Structures Under Moving Vehicular Loads, Engineering Structures, 26: 1279—1293.

12.

Lee, S.-Y. and Yhim, S.-S. (2004). Dynamic Analysis Of Composite Plates Subjected To Multi-Moving Loads Based On A Third Order Theory , International Journal of Solids and Structures, 41: 4457—4472.

13.

Reddy, J.N. (1997). Mechanics of Laminated Composite Plates Theory and Analysis, CRS Press, New York .

14.

Clough, R.W. and Penzien, J. (1993). Dynamics of Structures, New York: McGraw-Hill.

15.

Dabney, J. and Harman, T.L. (1999). Advanced Engineering Mathematics with MATLAB, Brooks/Cole Publishing Company, USA.