Assessment of a continuum model proposed for the dynamic shear behaviour of multi-storey frames

The continuum model proposed in reference [1] for the dynamic shear behaviour of multi-storey frames is assessed by using an earthquake excitation. The time histories of the base storey shear force are determined from the continuum model of zeroth- and first-order theories and they are compared with...

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Bibliographic Details
Published in:Journal of sound and vibration 1988-09, Vol.125 (2), p.367-377
Main Authors: Mengi, Y., Dündar, C.
Format: Article
Language:English
Subjects:
Applied sciences
Buildings. Public works
Computation methods. Tables. Charts
Exact sciences and technology
Structural analysis. Stresses
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Summary:The continuum model proposed in reference [1] for the dynamic shear behaviour of multi-storey frames is assessed by using an earthquake excitation. The time histories of the base storey shear force are determined from the continuum model of zeroth- and first-order theories and they are compared with those of the discrete model. It is found that even the zeroth-order theory is capable of predicting the earthquake behaviour of the frame correctly and that the first-order theory brings some minor corrections when the ground excitation contains high frequency components. It is found further that the use of the effective height for the frame in the continuum model, which was suggested in reference [1], improves the prediction of the theory greatly and that employing the continuum model, rather than the discrete model, reduces the computations significantly when the number of storeys is large. For the time integration of the equations of both discrete and continuum models a numerical algorithm based on the use of the FFT is employed. The results obtained in this study indicated that the proposed algorithm can be used reliably and effectively in structural dynamics. As a by-product of the analysis, a criterion determining an optimum number for the modes to be included in mode superposition analyses is also proposed.
ISSN:0022-460X
1095-8568
DOI:10.1016/0022-460X(88)90290-8