Dynamic Response of Kirchhoff Plate on a Viscoelastic Foundation to Harmonic Circular Loads

[+] Author and Article Information
L. Sun

Transportation and Operation Research Program, Department of Civil Engineering, The Catholic University of America, Washington, DC 20064e-mail: sun1@cua.edu

J. Appl. Mech 70(4), 595-600 (Aug 25, 2003) (6 pages) doi:10.1115/1.1577598 History: Received January 25, 2000; Revised September 15, 2002; Online August 25, 2003
Copyright © 2003 by ASME
Your Session has timed out. Please sign back in to continue.


Bush, A. J., 1980, “Nondestructive Testing for Light Aircraft Pavements, Phase II. Development of the Nondestructive Evaluation Methodology,” Report NO. FAA RD-80-9, Final Report, Federal Aviation Administration.
Uzan,  J., and Lytton,  R., 1990, “Analysis of Pressure Distribution Under Falling Weight Deflectometer Loading,” J. Transport. Eng., ASCE, 116 , No. 2.
Haas, R., Hudson, W. R., and Zaniewski, J., 1994, Modern Pavement Management, Krieger, Malabar, FL.
Hudson, W. R., Haas, R., and Uddin, W., 1997, Infrastructure Management: Integrating Design, Construction, Maintenance, Rehabilitation, and Renovation, McGraw-Hill, New York.
Westergaard,  H. M. S., 1926, “Stresses in Concrete Pavements Computed by Theoretical Analysis,” Public Roads, 7 (2), Apr.
Yoder, E. J., and Witczak, M. W., 1975, Principles of Pavement Design, John Wiley and Sons, New York.
Scullion,  T., Uzan,  J., and Paredes,  M., 1990, “MODULUS: A Microcomputer-Based Backcalculation System,” Transp. Res. Rec., 1260.
Taheri, M. R., 1986, “Dynamic Response of Plates to Moving Loads,” Ph.D. thesis, Purdue University, West Lafayette, IN.
Kukreti,  A. R., Taheri,  M., and Ledesma,  R. H., 1992, “Dynamic Analysis of Rigid Airport Pavements With Discontinuities,” J. Transport. Eng., ASCE, 118(3), pp. 341–360.
Zaghloul, S. M., White, T. D., Drnevich, V. P., and Coree, B., 1994, “Dynamic Analysis of FWD Loading and Pavement Response Using a Three Dimensional Dynamic Finite Element Program,” Transportation Resource Board, Washington, D.C.
Achenbach,  J. D., Keshava,  S. P., and Herrman,  G., 1966, “Waves in a Smoothly Jointed Plate and Half Space,” J. Eng. Mech., 92(2), pp. 113–129.
Freund,  L. B., and Achenbach,  J. D., 1968, “Waves in a Semi-Infinite Plate in Smooth Contact With a Harmonically Distributed Half Space,” Int. J. Solids Struct., 4, pp. 605–621.
Oien,  M. A., 1973, “Steady Motion of a Plate on an Elastic Half Space,” ASME J. Appl. Mech., 40(2), pp. 478–484.
Arnold,  R. N., Bycroft,  G. N., and Warburton,  G. B., 1955, “Force Vibrations of a Body on an Infinite Elastic Solid,” ASME J. Appl. Mech., 77, pp. 391–400.
Warburton,  G. B., 1957, “Forced Vibration of a Body on an Elastic Stratum,” ASME J. Appl. Mech., 79, pp. 55–57.
Bycroft,  G. N., 1956, “Force Vibrations of a Rigid Circular Plate on a Semi-Infinite Elastic Space and on an Elastic Stratum,” Philos. Trans. R. Soc. London, Ser. A, 248, pp. 327–368.
Krenk,  S., and Schmidt,  H., 1981, “Vibration of an Elastic Circular Plate on an Elastic Half-Space—A Direct Approach,” ASME J. Appl. Mech., 48, pp. 161–168.
Sun,  L., 2001, “A Closed-Form Solution of Bernoulli-Euler Beam on Viscoelastic Foundation Under Harmonic Line Loads,” J. Sound Vib., 242(4), pp. 619–627.
Sun,  L., 2001, “Closed-Form Representation of Beam Response to Moving Line Loads,” ASME J. Appl. Mech., 68, pp. 348–350.
Sun,  L., and Deng,  X., 1997, “Random Response of Beam Under a Moving Random Load in the Line Source Form,” Acta Mech. Sin., 29(3), pp. 365–368.
Kenney,  J. T., 1954, “Steady-State Vibrations of Beam on Elastic Foundation for Moving Load,” ASME J. Appl. Mech., 21, p. 359.
Sun,  L., and Greenberg,  B., 2000, “Dynamic Response of Linear Systems to Moving Stochastic Sources,” J. Sound Vib., 229(4), pp. 957–972.
Morse, P. M., and Feshbach, H., 1953, Methods of Theoretical Physics: Part I and II, McGraw-Hill, New York.
Eringen, A. C., and Suhubi, E. S., 1975, Elastodynamics, Vol. I and II, Academic Press, New York.
Watson, G. N., 1966, A Treatise on the Theory of Bessel functions, 2nd Ed., Cambridge University Press, London.
Saff, E. B., and Snider, A. D., 1993, Fundamentals of Complex Analysis for Mathematics, Science, and Engineering, 2nd Ed., Prentice-Hall, New York.
Zhu, Z., Wang, B., and Guo, D., 1985, Pavement Mechanics, People’s Transport Publishing, Beijing, China.
Timoshenko, S., and Woinowsky-Krieger, S., 1968, Theory of Plates and Shells, 2nd Ed., McGraw-Hill, New York.
Ugural, A. C., 1981, Stresses in Plates and Shells, McGraw-Hill, New York.


Grahic Jump Location
A plate on a viscoelastic foundation subjected to a circular load
Grahic Jump Location
The integral contours for evaluating the Cauchy principal value in Eq. (23)




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In