An Approximate Method for Static and Dynamic Analyses of Symmetric Wall-Frame Buildings

THE STRUCTURAL DESIGN OF TALL AND SPECIAL BUILDINGS Struct. Design Tall Spec. Build. 18, 279–290 (2009) Published online 25 September 2007 in Wiley Interscience (www.interscience.wiley.com). DOI: 10.1002/tal.409

AN APPROXIMATE METHOD FOR STATIC AND DYNAMIC ANALYSES OF SYMMETRIC WALL-FRAME BUILDINGS
KANAT BURAK BOZDOGAN* SUMMARY In this study an approximate method based on the continuum approach and transfer matrix method for static and dynamic analyses of symmetric wall-frame buildings is presented. The whole structure is idealized as a sandwich beam in this method. Initially the differential equation of this equivalent sandwich beam is written; shape functions for each storey can then be obtained by the solution of differential equations. By using boundary conditions and storey transfer matrices obtained from these shape functions, system modes and periods can be calculated. The reliability of the study is shown using several examples. A computer program has been developed in MATLAB and numerical samples have been solved for demonstration of the reliability of this method. The results of the samples show the agreement between the present method and other methods given in the literature. Copyright © 2007 John Wiley & Sons, Ltd.

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INTRODUCTION

A number of methods such as finite element method have been developed for the static and dynamic analysis of wall-frame buildings. While such methods are necessary for final design, approximate methods are most helpful at the preliminary design stage. The most widely used approximate calculations are based on the ‘continuum method’. In the literature there are numerous studies concerning the continuum method (Rosman, 1964; Heidebrecht and Stafford Smith, 1973; Basu et al., 1979; Balendra et al., 1984; Stafford Smith and Crowe, 1986; Nollet and Stafford Smith, 1993; Li and Choo, 1996; Toutanji, 1997; Miranda, 1999; Wang et al., 2000; Kuang and Ng, 2000; Zalka, 2001; Hoenderkamp, 2001, 2002; Miranda and Reyes, 2002;

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