Novel continuum models for coupled shear wall analysis

Abstract

SUMMARYReplacement beam formulations represent a family of 1D continuum models suitable for approximate analyses of the structural arrangements of buildings. In this paper, an energy equivalence approach is applied to coupled shear walls to develop suitable replacement beam models. Assuming properly compatible coupling fields between walls, a novel three-field coupled two-beam approach, therein providing shear and axial deformations, is proposed. The corresponding mathematical formulation provides closed-form solutions for simple loading cases with homogenous properties. Considering slender coupled shear walls, as typically found in tall buildings, the coupled two beams can be reduced to a two-field formulation, i.e., a parallel assembly of an extensible Euler-Bernoulli beam and a rotation-constraining beam. The latter model is solved analytically, and expressions for the tip displacement and base bending moment are presented. A finite element model is then presented and demonstrated to be an efficient tool for static and dynamic analyses. The effects of the axial deformation and degree of coupling on slender coupled shear wall responses are described as being dependent upon two suitable parameters. Various approximate relations are also proposed for design purposes. Finally, the validity of both analytical solutions and the finite element model is confirmed via numerical examples.

Seismic behavior of coupled shear wall structures with various concrete and steel coupling beams

“…These FIGURE 13 Model of the nonlinear behavior of fuse steel coupling beams (SCB-F) and two-level yielding steel coupling beam (TYSCB). SCB-C = complete steel coupling beams FIGURE 12 Model of the nonlinear behavior of diagonally reinforced concrete coupling beam and longitudinally reinforced concrete coupling beam studies mainly focused on undamped structures, and the continuous technique has recently been developed for coupled shear wall analyses in damped conditions [35][36][37] (i.e., structures with supplementary coupling dampers). A 1-D continuum model based on energy equivalence approach was used to simulate the behavior of coupling dampers.…”

“…Tso and Chan and Bause et al proposed a calculation approach for the dynamic analyses of coupled shear walls, based on the continuous medium model. These studies mainly focused on undamped structures, and the continuous technique has recently been developed for coupled shear wall analyses in damped conditions (i.e., structures with supplementary coupling dampers). A 1‐D continuum model based on energy equivalence approach was used to simulate the behavior of coupling dampers .…”

“…These studies mainly focused on undamped structures, and the continuous technique has recently been developed for coupled shear wall analyses in damped conditions (i.e., structures with supplementary coupling dampers). A 1‐D continuum model based on energy equivalence approach was used to simulate the behavior of coupling dampers . A two‐field formulation, assembly of extensible Euler–Bernoulli beam and a rotation‐constraining beam, was applied.…”

“…A 1-D continuum model based on energy equivalence approach was used to simulate the behavior of coupling dampers. [36] A two-field formulation, assembly of extensible Euler-Bernoulli beam and a rotationconstraining beam, was applied. In this section, finite element analyses were carried out to study the performance of coupled shear wall systems, where nonlinear behavior was considered.…”

“…These FIGURE 13 Model of the nonlinear behavior of fuse steel coupling beams (SCB-F) and two-level yielding steel coupling beam (TYSCB). SCB-C = complete steel coupling beams [35][36][37] (i.e., structures with supplementary coupling dampers). A 1-D continuum model based on energy equivalence approach was used to simulate the behavior of coupling dampers.…”