Non-linear analysis of R/C coupled shearwalls by the transfer matrix method

Akintilo, Idris Adeleke (1988) Non-linear analysis of R/C coupled shearwalls by the transfer matrix method. University of Southampton, Doctoral Thesis.

Abstract

Analyses of reinforced concrete coupled shear wall structures are developed based on the transfer matrix technique. Initially an elastic analysis of coupled shear walls under static loads was applied to a parametric study of joint behaviour. The local-flexibility at the wall-beam interface as well as the overall joint flexibility were considered. The latter was modelled by treating the intermediate joint as a rectangular panel analysed as a finite element. Finally, analytical responses were obtained with the combined effect of the local with the overall flexibility as well as with line connection of successive wall segments. The formulation was then extended to a step-by-step incremental analysis of inelastic responses. The static load was divided into suitable finite increments. A simple non-linear one-component model was adopted to represent the elasto-plastic behaviour of beam elements. Emphasis was given to reinforced concrete as structural material. In the case of dynamic analysis, the basic principle lies in evaluating the responses for a series of short time increments, ΔT. Damping was incorporated into the formulation using constitutive law, and the equation of motion solved by adopting Wilson-θ numerical integration scheme. The non-linear behaviour was approximated as a sequence of successively changing linear systems. The method was tested throughout its development by comparison of its predictions with a large number of available experimental as well as analytical results. Very good agreement has been observed in most cases. Its application is thus fully justified in view of its efficiency and accuracy. (D82635)

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