Abstract
In this paper, the Timoshenko beam model (continuous system model) is originally adapted for dynamic analysis of steel plate shear wall (SPSW) systems. Dynamic characteristics for the first three modes are found by solving differential equation of the equivalent Timoshenko beam model using the differential transformation method. Dynamic characteristics are tabulated for quick and practical calculation. With the help of the dynamic characteristics, the response spectrum analysis of such buildings is performed. The continuous system calculation model has been used in the literature for free vibration analysis of such systems. Using the approach developed in this study, it is possible to calculate not only natural periods, but also the base shear force, maximum storey displacement, and maximum storey drift ratio. The differential transformation method is used in this study for solving the differential equation written according to the continuous system calculation model. To investigate the suitability of the method presented in the study, an example taken from the literature is solved and the results are evaluated. The results show that the method presented can be used in the preliminary design stage.
Highlights
To prevent building damage under earthquake loads, storey displacements and the storey drift ratios must remain below certain limit values
The study shows that SC-steel plate shear wall (SPSW) systems perform well at three distinct earthquake levels
The experiments carried out in the study show that the SC-SPSW system exhibits a high level of ductility and rigidity
Summary
To prevent building damage under earthquake loads, storey displacements and the storey drift ratios must remain below certain limit values. One of the systems used for limiting the displacement and drift ratio in steel buildings is the steel plate shear wall (SPSW) system. As a result of the experiments carried out in the study, it was established that the self-centring steel plate shear walls systems provided the desired performance. Zhao et al [19], investigated suitability of the empirical period relationship used in the corrugated steel plate shear wall systems and proposed a formula for calculating period of such systems by using the shear-flexural beam model. Unlike the literature, the equivalent continuous Timoshenko beam model was used for the dynamic analysis of steel plate shear wall systems, and the differential transformation method was used to solve the differential equation representing dynamic behaviour of the equivalent continuous Timoshenko beam. In addition to calculation of natural periods, the approach developed in this study enables calculation of the base shear force, maximum storey displacement, and maximum storey drift ratio
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