Dynamics of Buildings with V‐Shaped Plan
Publication: Journal of Engineering Mechanics
Volume 118, Issue 6
Abstract
An analytical model is presented for the dynamic analysis of multistory buildings with flexible‐floor diaphragms. A long, narrow multistory building with a number of uniform stories and frames (or walls) is treated as a vertically oriented anisotropic plate. The resulting equations of motion and boundary conditions are solved to obtain the natural frequencies and mode shapes. The model is applied to buildings with V‐shaped plans. It is seen that for unequal stiffness of a wing in the transverse and longitudinal directions, all natural modes of vibration involve in‐plane floor deformations. However, if the two stiffnesses are equal, rigid‐floor as well as flexible‐floor modes exist, but the latter are not excited by spatially uniform ground acceleration. The floor flexibility, in general, does not substantially affect the natural periods, even though, depending upon the configuration, this may significantly affect the shear distribution among transverse frames. Floor flexibility tends to become more significant with increases in: (1) The difference between the transverse and the longitudinal stiffnesses; (2) the deviation of the angle between the wings from 90°; and (3) the length‐to‐width ratio, and with the decrease in height‐to‐length ratio.
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References
1.
Arnold, C., and Reitherman, R. (1982). Building configuration and seismic design. John Wiley and Sons, Inc., New York, N.Y.
2.
Berg, G. V. (1973). “Response of building in Anchorage.” The Great Alaska earthquake of 1964 (engineering), Nat. Academy of Sci., Washington, D.C., 247–282.
3.
Clough, R. W. (1965). Earthquake engineering for concrete and steel structures (seminar summary). Bureau of Reclamation, Denver, Colo., 45–46.
4.
Dewell, H. D., and Willis, B. (1925). “Earthquake damage to buildings.” Bull. Seismological Society of America, 15(4), 282–300.
5.
Jain, S. K. (1983). “Analytical models for the dynamics of buildings.” Earthquake Engineering Research Laboratory Report No. 83‐2, California Inst. of Tech., Pasadena, Calif.
6.
Jain, S. K. (1984a). “Continuum models for dynamics of buildings.” J. Engrg. Mech., ASCE, 110(12), 1713–1730.
7.
Jain, S. K. (1984b). “Seismic response of buildings with flexible floors.” J. Engrg. Mech., ASCE, 110(1), 125–129.
8.
Jain, S. K., and Jennings, P. C. (1985). “Analytical models for low‐rise buildings with flexible floor diaphragms.” Earthquake Engrg. Struct. Dyn., 13(2), 225–241.
9.
Mandal, U. K. (1988). “Dynamics of horizontal setback buildings with flexible floor diaphragms,” MTech thesis, Indian Institute of Technology, Kanpur, India.
10.
Maybee, J. S., Goldberg, J. E., and Herness, E. D. (1966). “Dynamics of separable multistory buildings.” J. Engrg. Mech., ASCE, 92(2), 153–176.
11.
Meehan, J. F. (1967). “The response of several public school buildings in Anchorage, Alaska, to the March 27, 1964, earthquake.” The Prince William Sound, Alaska, earthquake of 1964 and aftershocks, F. J. Wood (ed.), U.S. Dept. of Commerce, U.S. GPO, Washington, D.C., 219–243.
12.
Ostram, D. K., and Hart, G. C. (1974). “In‐plane slab deformation in multistory structures.” Earthquake and Wind Engineering Laboratory Report (UCLA‐ENG‐7444, EWE 74‐02), Univ. of California, Los Angeles, Calif.
13.
Steinbrugge, K. V., and Flores, R. A. (1963). “The Chilean earthquake of May 1960: A structural engineering viewpoint.” Bull. Seismological Society of America, 53(2), 225–307.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 118 • Issue 6 • June 1992
Pages: 1093 - 1112
Copyright
Copyright © 1992 ASCE.
History
Published online: Jun 1, 1992
Published in print: Jun 1992
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