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TECHNICAL PAPERS

An Exact Approach For Free Vibration Analysis of Multi-Step Nonuniform Shear Plates

[+] Author and Article Information
Q. S. Li

Department of Building and Construction, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong

J. Vib. Acoust 124(1), 141-149 (Jun 01, 2001) (9 pages) doi:10.1115/1.1421055 History: Received October 01, 2000; Revised June 01, 2001
Copyright © 2002 by ASME
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References

Korqingskee, E. L., 1952, Vibrations of Tall Buildings, Academy of USSR Publishing, Moscow.
Wang, G. Y., 1978, Vibration of Buildings and Structures, Science Press, Beijing.
Li,  Q. S., 1998, “Free Vibration Analysis of Shear-Type Buildings,” Advance in Structural Engineering, an International Journal,2, pp. 163–172.
Li, G. Q., 1985, Calculation Theory and Method of Seismic Structures, National Earthquake Press, Beijing.
Li,  Q. S., Cao,  H., and Li,  G. Q., 1994, “Analysis of Free Vibrations of Tall Buildings,” J. Eng. Mech., 120, pp. 1861–1876.
Li,  Q. S., Cao,  H., and Li,  G. Q., 1996, “Static and Dynamic Analysis of Straight Bars with Variable Cross-Section,” Comput. Struct., 59, pp. 1185–1191.
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Guo,  S. J., Keane,  A. J., and Mosherefi-Torbati,  M., 1997, “Vibration Analysis of Stepped Thickness Plates,” J. Sound Vib., 204, pp. 645–657.
Beiner,  L., and Librescu,  L., 1984, “Minimum-Weight Design of an Orthotropic Shear Panel with Fixed Flutter Speed,” AIAA J., 21, pp. 1015–1016.
Liew,  K. M., Hung,  K. C., and Lim,  M. K., 1993, “A Continuum Three-dimensional Vibration Analysis of Thick Rectangular Plates,” Int. J. Solid Structures , 30, pp. 3357–3379.
Liew,  K. M., Hung,  K. C., and Lim,  M. K., 1994, “Three-dimensional Vibration of Rectangular Plates: Variance of Simple Support Conditions and Influence of In-Plane Inertia,” Int. J. Solid Structures, 23, pp. 3233–3247.
Liew,  K. M., Hung,  K. C., and Lim,  M. K., 1995, “Free Vibration Studies on Stress-Free Three-dimensional Elastic Solids,” ASME J. Appl. Mech., 62, pp. 159–165.
Timoshenko, S. P., and Gere, J. M., 1993, Theory of Elastic Stability, McGraw-Hill Book Company, New York.
Clough, R. W., and Penzien, J., 1993, Dynamics of Structures, McGraw-Hill Book Company, New York.

Figures

Grahic Jump Location
An element of the shear plate
Grahic Jump Location
A multi-step shear plate
Grahic Jump Location
The distribution of mass and stiffness. Note: The solid lines represent the real distributions, and the dash lines represent the assumed exponential distributions. x—the values of the assumed exponential distributions.
Grahic Jump Location
The mode shapes of the narrow building

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