Uniform Shear Buildings under the Effect of Gravity Loads
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Volume 133, Issue 1
Abstract
Gravity loads play an important role in the linear and nonlinear behavior of buildings during earthquakes. They can also be the cause of ultimate collapse of the structures. In this study, the governing equation of continuous uniform shear buildings under the effects gravity loads is derived and eigenfrequencies, displacement, and drift mode shapes are obtained by eigenanalysis. It is shown that how the geometric properties of the structure affect the fundamental oscillation period and response of the building. Inclusion of the effects of the gravity loads makes the solution of the governing differential equation dependent on the Bessel functions of the first and second kind. The modal load and mass equations are solved using the orthogonality relations of Bessel functions. Effects of gravity on displacement and drift behavior of shear buildings on soft soils and rock subjected to limited near-fault earthquake excitations are shown.
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References
Calvert, J. B. (2005). “The hanging chain.” ⟨http://www.du.edu/~jcalvert/math/hchain.htm⟩ (May 20, 2005).
Gulkan, P., and Akkar, S. (2002). “A simple replacement for the drift spectrum.” Eng. Struct., 24(11), 1477–1484.
Hildebrand, F. B. (1976). “Advanced calculus for applications.” 2nd Ed., Prentice-Hall, Englewood Cliffs, N.J.
International Conference of Building Officials (ICBO). (1994). Uniform building code, Whittier, Calif.
Iwan, W. D. (1997). “Drift spectrum: Measure of demand for the earthquake ground motions.” J. Struct. Eng., 123(4), 397–404.
Iyengar, R. N., and Shinozuka, M. (1972). “Effect of self-weight and vertical acceleration on the behavior of tall structures during earthquake.” Earthquake Eng. Struct. Dyn., 1(1), 69–78.
Iyengar, R. N., and Shinozuka, M. (1977). “Effect of vertical ground motion on the response of cantilever structures.” Proc., 6th World Conf. on Earthquake Engineering, Vol. 3, New Delhi, India, 193–198.
Kim, J., and Collins, K. R. (2002). “Closer look at the drift demand spectrum.” J. Struct. Eng., 128(7), 942–945.
Lamb, H. (1925). The dynamical theory of sound, 2nd Ed., Edward Arnold, London, 84–88.
NEHRP. (2003). “The 2000 NEHRP recommended provisions for new buildings and other structures.” FEMA 368. 2003, Building Seismic Safety Council, Washington, D.C.
Olver, F. W. J. (1972). “Bessel functions of integer order.” Handbook of mathematical functions, M. Abramowitz and I. A. Stegun, eds., Dover, New York, 358–389.
Pacific Earthquake Engineering Research Center (PEER). (2003). “PEER ground motions.” ⟨http://peer.berkeley.edu/research/motions/⟩ (October 20, 2003).
Thomson, T. T. (1993). Theory of vibration with applications, Prentice-Hall, Englewood Cliffs, N.J., 289–293.
Timoshenko, S. (1971). Theory of structures, McGraw-Hill, New York, 598–603.
Westermo, B. D. (1981). “Gravity and dynamic response of vertical beams.” J. Engrg. Mech. Div., 107, 917–934.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 133 • Issue 1 • January 2007
Pages: 48 - 57
Copyright
© 2007 ASCE.
History
Received: Jul 21, 2004
Accepted: Dec 29, 2005
Published online: Jan 1, 2007
Published in print: Jan 2007
Notes
Note. Associate Editor: Joel P. Conte
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