Bulletin of the Seismological Society of America
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Bulletin of the Seismological Society of America; August 1964; v. 54; no. 4; p. 1233-1254
© 1964 Seismological Society of America
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Determination of the first n modes of a tall building from a reduced eigenvalue problem

MOSHE F. RUBINSTEIN

UNIVERSITY OF CALIFORNIA, LOS ANGELES, CALIFORNIA

Abstract

The first n natural frequencies and mode shapes of an N degree of freedom structure (n < N) are derived from the solution of a reduced eigenvalue problem of order smaller than N. The reduced eigenvalue problem is formulated by using experience to select approximations to the first n modes desired. Accuracy is improved when more than n modes are selected. The method is illustrated by a study on an 18 story building.






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