Transfer matrix analysis of frame-shear wall systems

Younes, Imad Sabeh (1990) Transfer matrix analysis of frame-shear wall systems. University of Southampton, Doctoral Thesis.

Abstract

This study presents an investigation into the possible applications of the transfer matrix method to the analysis of frame-shear wall systems. The objective is to examine the efficiency, simplicity and accuracy of the method in comparison with the most popular of the other techniques that have been used to analyse those structures. Had it been proved to be superior, this method would be promoted as an alternative simple tool for engineers and designers. Linear static and dynamic analyses of both two- and three-dimensional configurations were developed and implemented on computer using FORTRAN. The simplicity of those analyses was apparent, and their accuracy and efficiency were verified by analysing a wide range of geometries for which experimental and other analytical results were available. The validity, versatility and accuracy of the technique were further verified by extending its application to the nonlinear static analysis of two-dimensional reinforced concrete structures. An advanced model for steel-concrete interaction wsa used in determining the elements properties. The one-component model was used to represent the nonlinear behaviour of all elements. The systematic formulation has allowed developing a FORTRAN program capable of performing linear static, linear dynamic and nonlinear static analyses. Finally, a transfer matrix based procedure for the nonlinear dynamic analysis of two-dimensional reinforced concrete frame-shear wall structures was developed. Damping was accounted for in the form of a simple hysteretic model. A collocation scheme was used as the basis for the step by step numerical integration of the equations of motion. Both Giberson's nondegrading model and a simplified version of Takeda's degrading model were used in determining the hysteretic properties of all elements. The one-component beam model was used to represent the nonlinear behaviour of beam and column elements, while the multiple spring model was used for shear walls. The accuracy of the proposed procedure was tested on both linear and nonlinear problems. The levels of accuracy in the computed results were almost excellent for linear or mildly damaged structures, while it was acceptable for structures that experienced severe damage.

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