Abstract
In this study, an approximate method based on the continuum approach and transfer matrix method for free vibration analysis of multi bay coupled shear walls is presented. In this method the whole structure is idealized as sandwich beam. Initially the differential equation of this equivalent sandwich beam is written then shape function for each storey can be obtained by the solution of differential equations. By using boundary conditions and storey transfer matrices which are obtained by these shape functions, system modes and periods can be calculated. Reliability of the study is shown with a few examples. A computer program has been prepared in MATLAB computer algebra system and numerical samples have been solved for demonstration of the reliability of the method. The results of the samples display the convergence of the present method to the other methods used in literature.
Highlights
Shear walls are commonly used in tall buildings with the aim to increase the resistance to lateral loads
They are formed as coupled shear walls because of the rows of openings constituted for the architectural aspects such as windows, doors etc
Continuous connection method has been used for long time for static and dynamic analysis of coupled shear wall
Summary
Shear walls are commonly used in tall buildings with the aim to increase the resistance to lateral loads. Continuous connection method has been used for long time for static and dynamic analysis of coupled shear wall. Rosman proposed a continuum medium method for a pair of high rise coupled shear walls [1]. Li and Choo proposed a hybrid approach, based on the analysis of equivalent continuous medium and a discrete lumped mass system for free vibration analysis of stiffened pierced walls on flexible foundations [4]. Aksoğan et al considered the forced vibration analysis of stiffened coupled shear walls with semi –rigid connections having stepwise changes in width [5]. An approximate method based on continuum system model and transfer matrix approach is suggested for the dynamic analysis of coupled shear walls
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