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Dynamic characteristics of coupled wall‐frame systems
Author(s) -
Basu Amiya K.,
Dar Gulam Q.
Publication year - 1982
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.4290100410
Subject(s) - equidistant , cantilever , shear wall , normal mode , mathematics , flexibility method , structural engineering , planar , mathematical analysis , geometry , engineering , finite element method , physics , vibration , computer science , computer graphics (images) , quantum mechanics
The paper presents the first three natural frequencies and the corresponding mode shapes for fixed‐base multistorey buildings which can be idealized as an equivalent planar coupled shear wall connected in series to an equivalent frame. The coupled wall is modelled as a continuum of uniform properties and the frame as a uniform shear beam, the connection between the two elements being taken as continuous. Solutions are obtained by treating the structure as a lumped parameter system with twenty equidistant discrete masses having only translational inertia. The relevant flexibility matrix is, however, generated from the exact solution of the governing differential equation for the continuum subjected to point loading. The results are presented for various combinations of the three non‐dimensional parameters which are sufficient to describe all the geometric and material properties of the system. The mode shapes are presented in terms of the first three normal modes of a uniform slender cantilever. The non‐dimensional base shears required for the response spectrum analysis of buildings of the type under consideration are also given for the three modes and for the various combinations of the three non‐dimensional parameters mentioned above. The use of the results is illustrated by an example.