Research Article
Apr 1966

Dynamic of Separable Multistory Buildings

Publication: Journal of the Engineering Mechanics Division
Volume 92, Issue 2

Abstract

The wide multistory building having a set of identical parallel transverse frames and a set of identical floors is an example of a separable structure. Certain problems of such structures can be solved by combining solutions for a typical frame and a typical floor. Thus, the eigenvalues and two-dimensional eigenvectors for a separable building with mass concentrated at the joints can be found by calculating the eigenvalues and eigenvectors of a typical frame and a typical floor. A procedure for computing all of the frequencies of transverse vibration and all of the associated modes for such a building is presented along with the mathematical theory on which it is based.

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Published In

Journal of the Engineering Mechanics Division
Volume 92Issue 2April 1966
Pages: 153 - 176

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Published in print: Apr 1966
Published online: Feb 3, 2021

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John S. Maybee
Assoc. Prof. of Mathematics, Purdue Univ., Lafayette, Ind.
John E. Goldberg, F.ASCE
Prof. of Structural Engrg., Purdue Univ., Lafayette, Ind.
Ervin D. Herness, AM.ASCE
Research Specialist B, Digital Computer Applications Group, Boeing Co., Seattle, Wash.; formerly, Graduate Student in Structural Engrg., Purdue Univ., Lafayette, Ind.

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