TECHNICAL NOTES
Feb 1, 1999

Spectral-Element Method for Levy-Type Plates Subject to Dynamic Loads

Publication: Journal of Engineering Mechanics
Volume 125, Issue 2

Abstract

Spectral-element method (SEM) is applied for the vibration analysis of the Levy-type rectangular plates subject to distributed dynamic loads. In the solution procedure, both FFT and inverse FFT computer algorithms are efficiently used to obtain the dynamic responses in time domain. Distributed dynamic load is approximated, as the superposition of equivalent dynamic line loads and the spatial coordinate dependence of equivalent line loads is removed by (spatial) FFT. This procedure transforms the original plate (two-dimensional) problem into an effective beam (one-dimensional) problem so that the solution procedure for one-dimensional structures can be used. Numerical tests show that SEM provides very accurate solutions when compared with conventional finite element solutions.

Get full access to this article

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

References

1.
Daniel, A. N., and Doily, J. F. ( 1995). “Transverse impact of a damped plate near a straight edge.” J. Vib. and Acoust., 117(1), 103–108.
2.
Doyle, J. F. ( 1987). “A spectrally formulated finite element for longitudinal wave propagation.” Int. J. Anal. and Experi. Modal Anal., 3, 1–5.
3.
Doyle, J. F. ( 1997). Wave propagation in structures: Spectral analysis using fast discrete Fourier tranforms, 2nd Ed., Springer, Berlin.
4.
Gopalakrishnan, S., Martin, M., and Doyle, J. F. ( 1992). “A matrix methodology for spectral analysis of wave propagation in multiple connected Timoshenko beams.” J. Sound and Vibration, 158(4), 11–24.
5.
Horr, A. M., and Schmidt, L. C. ( 1995). “Dynamic response of a damped large space structures: A new fractional-spectral approach.” Int. J. Space Struct., 10(2), 113–119.
6.
Lee, U., and Lee, J. ( 1996a). “Dynamic continuum modeling of truss-type space structures using spectral elements.” J. Spacecraft and Rockets, 33(3), 404–409.
7.
Lee, J., and Lee, U. ( 1996b). “Spectral element analysis of the structures under dynamic distributed loads.” AIAA Paper 96-1494, American Institute of Aeronautics and Astronautics, Reston, Va.
8.
Leung, A. Y. T. ( 1993). Dynamic stiffness and substructures. Springer, Berlin.
9.
Pestel, E. C., and Leckie, F. A. ( 1963). Matrix methods in elastomechanics. McGraw-Hill, New York.
10.
Yang, T. Y. ( 1986). Finite element structural analysis. Prentice-Hall, Englewood Cliffs, N.J.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 125Issue 2February 1999
Pages: 243 - 247

History

Published online: Feb 1, 1999
Published in print: Feb 1999

Permissions

Request permissions for this article.

Authors

Affiliations

Prof., Dept. of Mech. Engrg., Inha Univ., Inchon 402-751, South Korea. E-mail: [email protected]
Grad. Res. Asst., Dept. of Mech. Engrg., Inha Univ., Inchon, South Korea.

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