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Dynamic properties of planar, coupled shear walls
Author(s) -
Jennings Paul C.,
Skattum Knut S.
Publication year - 1972
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.4290010409
Subject(s) - shear wall , inertia , equations of motion , vibration , eigenvalues and eigenvectors , normal mode , shear (geology) , resistive touchscreen , planar , rotary inertia , structural engineering , mechanics , displacement (psychology) , geology , geometry , physics , classical mechanics , engineering , mathematics , computer science , acoustics , petrology , psychology , computer graphics (images) , electrical engineering , quantum mechanics , psychotherapist
The paper is a study of the natural frequencies and mode shapes of planar, coupled shear walls, a common lateral resistive element in building construction. The equations of motion are derived for the general case, and the eigenvalue problem associated with free vibrations of equal, constant shear walls is solved, both with and without the inclusion of the inertia of vertical motion. Explicit solutions are presented for the characteristic equation and the mode shapes and the results are illustrated with figures, including an example calculation based on the shear walls of the Mt. McKinley Building, damaged by the Alaskan earthquake of 1964. The results affirm the necessity of including vertical displacement of the shear walls in the analysis of such systems, and suggest that the inertia of vertical motion also must be considered in the analysis for certain ranges of the parameters.