Transfer Matrix Analysis of Frame-Shear Wall Systems

Imad  S.  YOUNES

 Linear static and dynamic analysis 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 analyzing a wide range of geometry’s for which experimental or 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 was used in determining the element properties. The one‑component model was used to represent the nonlinear behavior 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 non-degrading 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 behavior of beam and column elements, while the multiple spring models were used for shear walls. The accuracy of the proposed procedure was tested on both linear and nonlinear problems. The level of accuracy in the computed results was almost excellent for linear or mildly damaged structures, while it was acceptable for structure that experienced severe damage.