TECHNICAL PAPERS
Dec 13, 2002

Dynamic Behavior of Orthotropic Rectangular Plates under Moving Loads

Publication: Journal of Engineering Mechanics
Volume 129, Issue 1

Abstract

The dynamic behavior of an orthotropic plate simply supported on a pair of parallel edges and under a system of moving loads is analyzed based on Lagrange equation and modal superposition. Thin plate theory is assumed for the plate model and no restriction is placed on the type of loading. Parameters of the plate affecting its dynamic behavior are discussed, and a new classification of the plates for computing the mode shapes and natural frequencies is proposed. The impact factors and the dynamic responses of a typical bridge deck are studied using the proposed method. Preliminary results indicate that the effect of eccentric loads on the impact factor depends on the proportion ratio between the flexural and torsional rigidities of the bridge deck, and the multilane loading case is less critical than a single-lane loading case.

Get full access to this article

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

References

Agrawal, O. P., Stanisic, M. M., and Saigal, S.(1988). “Dynamic responses of orthotropic plates under moving masses.” Ingenieur-Archiv, 58, 9–14.
American Association of State and Transportation Officials (AASHTO). (1998). “Bridge design specifications.” LRFD, Washington, D.C.
Bakht, B., and Jaeger, L. G. (1985). Bridge analysis simplified, McGraw-Hill, New York.
Bathe, K. J., and Wilson, E. L. (1976). Numerical methods in finite element analysis, Prentice-Hall, Englewood Cliffs, N.J.
Fryba, L. (1972). Vibration of solids and structures under moving loads, Noordhoff International, Groningen, The Netherlands.
Grace, N. F., and Kennedy, J. E.(1985). “Dynamic analysis of orthotropic plate structures.” J. Eng. Mech., 111(8), 1027–1037.
Huffington, N. J., and Hoppmann, II, W. H.(1958). “On the transverse vibrations of rectangular orthotropic plates.” J. Eng. Mech. Div., Am. Soc. Civ. Eng., 25, 389–395.
Humar, J. L., and Kashif, A. H.(1995). “Dynamic response analysis of slab-type bridges.” J. Struct. Eng., 121(1), 48–62.
Jayaraman, G., Chen, P., and Snyder, V. W.(1990). “Free vibrations of rectangular orthotropic plates with a pair of parallel edges simply supported.” Comput. Struct., 34(2), 203–214.
Kim, S. M., and Roesset, J. M.(1998). “Moving loads on a plate on elastic foundation.” J. Eng. Mech., 124(9), 1010–1017.
Larrondo, H. A., Avalos, D. R., and Laura, P. A. A.(1998). “Transverse vibrations of simply supported anisotropic rectangular plates carrying an elastically mounted concentrated mass.” J. Sound Vib., 215(5), 1195–1202.
Laura, P. A. A., Avalos, D. R., and Larrondo, H. A.(1999). “Forced vibrations of simply supported anisotropic rectangular plates.” J. Sound Vib., 220(1), 178–185.
Law, S. S., Chan, T. H. T., Zhu, X. Q., and Zeng, Q. H.(2001). “Regularization in moving force identification.” J. Eng. Mech., 127(2), 136–148.
Leissa, A. W.(1973). “The free vibration of rectangular plates.” J. Sound Vib., 31(3), 257–293.
McLean, D. I., and Marsh, M. L. (1998). “Dynamic impact factors for bridges.” Synthesis of highway practice 266. National Cooperative Highway Research Program. Transportation Research Board, National Academy Press, Washington, D.C.
Ng, S. F., and Kulkarni, G. G.(1972). “On the transverse free vibrations of beam-slab type highway bridges.” J. Sound Vib., 21(3), 249–261.
Nowak, A. S., Nassif, H., and DeFrain, L.(1993). “Effect of truck loads on bridges.” J. Transp. Eng., 119(6), 853–867.
Omenzetter, P., and Fujino, Y.(2001). “Interaction of nonconservative 1D continuum and moving MDOF oscillator.” J. Eng. Mech., 127(11), 1082–1088.
Pesterev, A. V., and Bergman, L. A.(1997). “Response of elastic continuum carrying moving linear oscillator.” J. Eng. Mech., 123(8), 878–884.
Pesterev, A. V., Yang, B., Bergman, L. A., and Tan, C. A.(2001). “Response of elastic continuum carrying multiple moving oscillators.” J. Eng. Mech., 127(3), 260–265.
Taheri, M. R., and Ting, E. C.(1990). “Dynamic response of plates to moving loads: Finite element method.” Comput. Struct., 34(3), 509–521.
Wang, T. L., Huang, D. Z., and Shahawy, M.(1992). “Dynamic response of multigirder bridges.” J. Struct. Eng., 118(8), 2222–2238.
Wang, T. L., Huang, D. Z., Shahawy, M., and Huang, K.(1996). “Dynamic response of highway girder bridges.” Comput. Struct., 60(6), 1021–1027.
Wang, R. T., and Lin, T. Y.(1996). “Vibration of multispan Mindlin plates to a moving load.” J. Chin. Inst. Eng., 19(4), 467–477.
Wu, J. S., Lee, M. L., and Lai, T. S.(1987). “The dynamic analysis of a flat plate under a moving load by the finite element method.” Int. J. Numer. Methods Eng., 24, 743–762.
Yang, Y. B., Liao, S. S., and Lin, B. H.(1995). “Impact formulas for vehicles moving over simple and continuous beams.” J. Struct. Eng., 121(11), 1644–1650.
Yang, B., Tan, C. A., and Bergman, L. A.(2000). “Direct numerical procedure for solution of moving oscillator problems.” J. Eng. Mech., 126(5), 462–469.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 129Issue 1January 2003
Pages: 79 - 87

History

Received: Jun 21, 1999
Accepted: Jun 13, 2002
Published online: Dec 13, 2002
Published in print: Jan 2003

Permissions

Request permissions for this article.

Authors

Affiliations

X. Q. Zhu
PhD Student, Civil and Structural Engineering Dept., Hong Kong Polytechnic Univ., Hong Kong, People’s Republic of China.
S. S. Law
Associate Professor, Civil and Structural Engineering Dept., Hong Kong Polytechnic Univ., Hong Kong, People’s Republic of China (corresponding author).

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