Technical Notes
Jul 4, 2013

Dynamic Response of the Rectangular Plate Subjected to Moving Loads with Variable Velocity

Publication: Journal of Engineering Mechanics
Volume 140, Issue 4

Abstract

The dynamic response of a rectangular plate on a viscoelastic foundation under moving loads with varying velocity is investigated. Three types of moving loads, including acceleration, deceleration, and uniform speed are discussed. Analytical solutions of the dynamic deflection of a plate with general boundary conditions subjected to moving loads are presented by means of dealing with the governing equation. In the numerical analysis, a plate with four edges simply supported is selected to study the dynamic response yielded by the moving loads. The deflection distributions in the range of the plate for the accelerated and decelerated load cases are illustrated. The time histories of the deflection response corresponding to different acceleration and deceleration levels are investigated in detail. The effects of the initial speed of the moving load and the damping of the foundation on the response are also discussed.

Get full access to this article

View all available purchase options and get full access to this article.

References

Abu-Hilal, M., and Mohsen, M. (2000). “Vibration of beams with general boundary conditions due to a moving harmonic load.” J. Sound Vibrat., 232(4), 703–717.
Abu-Hilal, M., and Zibdeh, H. S. (2000). “Vibration analysis of beams with general boundary conditions traversed by a moving force.” J. Sound Vibrat., 229(2), 377–388.
Auersch, L. (2008). “The effect of critically moving loads on the vibrations of soft soils and isolated railway tracks.” J. Sound Vibrat., 310(3), 587–607.
Fryba, L. (1999). Vibration of solids and structures under moving loads, Telford, London.
Huang, M.-H., and Thambiratnam, D. P. (2001). “Deflection response of plate on Winkler foundation to moving accelerated loads.” Eng. Struct., 23(9), 1134–1141.
Huang, Y. H. (1998). Pavement analysis and design, Prentice Hall, Upper Saddle River, NJ.
Kim, S. M., Won, M. C., and McCullough, B. F. (2001). “Transformed field domain analysis of pavements subjected to moving dynamic tandem-axle loads and integrating their effects into the CRCP-10 program.” Research Rep. 1831-5, Center for Transportation Research, Univ. of Texas, Austin, TX.
Liu, C., McCullough, B. F., and Oey, H. S. (2000). “Response of rigid pavements due to vehicle-road interaction.” J. Transp. Eng., 237–242.
Mamandi, A., Kargarnovin, M. H., and Farsi, S. (2010). “An investigation on effects of traveling mass with variable velocity on nonlinear dynamic response of an inclined Timoshenko beam with different boundary conditions.” Int. J. Mech. Sci., 52(12), 1694–1708.
Sun, L. (2006). “Analytical dynamic displacement response of rigid pavements to moving concentrated and line loads.” Int. J. Solids Struct., 43(14-15), 4370–4383.
Wu, J. J. (2005). “Dynamic analysis of a rectangular plate under a moving line load using scale beams and scaling laws.” Comp. Struct., 83(19-20), 1646–1658.
Zheng, X. P. (1990). “Dynamic analysis of airport pavement.” Acta Aeronaut. Astronaut. Sin., 11(3), 146–155.
Zhong, Y., Gao, Y., and Li, M. (2012). “Dynamic response of rigid pavement under moving traffic load with variable velocity.” Baltic J. Road Bridge Eng., 7(1), 48–52.
Zibdeh, H. S. (1995). “Stochastic vibration of an elastic beam due to random moving loads and deterministic axial forces.” Eng. Struct., 17(7), 530–535.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 140Issue 4April 2014

History

Received: Mar 30, 2012
Accepted: Jul 1, 2013
Published online: Jul 4, 2013
Published in print: Apr 1, 2014
Discussion open until: Jun 3, 2014

Permissions

Request permissions for this article.

Authors

Affiliations

Mingliang Li [email protected]
Research Fellow, Research Institute of Highway Ministry of Transport, No. 8 Rd. Xitucheng, Haidian District, Beijing 100088, P. R. China; formerly, Ph.D. Scholar, Section of Road and Railway Engineering, Faculty of Civil Engineering and Geosciences, Delft Univ. of Technology, 2628 CN, Delft, Netherlands (corresponding author). E-mail: [email protected]; [email protected]
Postdoctoral Fellow, State Key Laboratory of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong Univ., Shanghai 200240, China. E-mail: [email protected]
Professor, Road Engineering, Faculty of Infrastructure Engineering, Dalian Univ. of Technology, Dalian 116024, China. E-mail: [email protected]
Ph.D. Scholar, Section of Hydraulic Engineering, Faculty of Civil Engineering and Geosciences, Delft Univ. of Technology, 2628 CN, Delft, Netherlands. E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share