TECHNICAL PAPERS
May 1, 1986

Estimating Periods of Vibration of Tall Buildings

Publication: Journal of Structural Engineering
Volume 112, Issue 5

Abstract

A hand method of estimating the period of free vibration of building structures, for use in determining the minimum base shear for their earthquake design, is presented. The method is for structures that have uniform properties through their height, and that are symmetrical in plan and symmetrically loaded so that they do not twist. The structures may consist of rigid frames, coupled walls, wall‐frames and braced frames, or any combination of these. The basis of the method is that all of the above described types of bent behave as members of a family of shear‐flexure structures whose static deflections can be predicted by coupled wall theory. A method of decoupling the static deflection into a flexural component and a shear plus flexure wall‐frame type of component is extended to dynamic behavior of a corresponding decoupled eigenvalue approach, to determine the periods of free vibration. The derivation of the method, an assessment of its accuracy, and a worked example to illustrate its application are presented.

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References

1.
Heidebrecht, A. C., and Stafford‐Smith, B., “Approximate analysis of tall wall‐frame structures,” Journal of the Structural Division, ASCE, Vol. 99, No. ST2, Feb., 1973, pp. 199–221.
2.
Jennings, P. C., and Skattum, K. S., “Dynamic properties of planar, coupled shear walls,” Int. J. Earthq. Engrg. Struct. Dyn., 1, 1973, pp. 387–405.
3.
Mukherjee, P. R., and Coull, A., “Free vibrations of coupled shear walls,” Int. J. Earthq. Engrg. Struct. Dyn., 1, 1973, pp. 377–386.
4.
Murashev, V., et al., “Design of Reinforced Concrete Structures,” Mir Publishers, Moscow, U.S.S.R., 1971.
5.
Rosman, R., “Dynamics and stability of shear wall building structures,” Proc. Instn. Civ. Engrs., 55, 1973, pp. 411–423.
6.
Rutenberg, A., “Approximate natural frequencies for coupled shear walls,” Int. J. Earthq. Engrg. Struct. Dyn., 4, 1975, pp. 95–100.
7.
Skattum, K. S., “Dynamic analysis of coupled shear walls and sandwich beams,” Earthq. Engrg. Res. Lab. Rep., No. EERL 71‐06, California Institute of Technology, Pasadena, Calif., 1971, pp. 175–182.
8.
Stafford‐Smith, B., Kuster, M., and Hoenderkamp, J. C. D., “A generalized approach to the deflection analysis of braced frame, rigid frame and coupled wall structures,” Canadian Journal of Civil Engineering, CSCE, 8, June, 1980, pp. 230–240.
9.
Stafford‐Smith, B., Kuster, M., and Hoenderkamp, J. C. D., “Generalized method for estimating drift in highrise structures,” Journal of Structural Engineering, ASCE Structural Division, Vol. 110, No. 7, July, 1984, pp. 1549–1562.
10.
UBC Uniform Building Code, International Conference of Building Officials, Whittier, Calif.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 112Issue 5May 1986
Pages: 1005 - 1019

History

Published online: May 1, 1986
Published in print: May 1986

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Authors

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Bryan Stafford Smith, M. ASCE
Prof., Dept. of Civ. Engrg. and Applied Mech., McGill Univ., Montreal, PQ, Canada H3A 2K6
Elizabeth Crowe
Adjeleian & Associates Inc., 85 Eglinton E., Toronto, ON, Canada M4P, 1H5

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