2007
DOI: 10.1002/tal.409
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An approximate method for static and dynamic analyses of symmetric wall‐frame buildings

Abstract: In this study an approximate method based on the continuum approach and transfer matrix method for static and dynamic analyses of symmetric wall‐frame buildings is presented. The whole structure is idealized as a sandwich beam in this method. Initially the differential equation of this equivalent sandwich beam is written; shape functions for each storey can then be obtained by the solution of differential equations. By using boundary conditions and storey transfer matrices obtained from these shape functions, … Show more

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Cited by 32 publications
(13 citation statements)
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“…In this approach, the primary noncontinuous (discrete) structure, by using a set of assumptions, is modeled as an elastically equivalent continuous structure such as beam model (one-dimensional analytical model based on beam theory) [38,53]. Usually, the continuum approach can be applied to model the low and medium-rise buildings up to 20 stories [64][65][66][67][68][69]. However, several reviewed articles used this approach to model the outrigger and belt-truss system in tall buildings [12,62,70].…”
Section: Continuum Approachmentioning
confidence: 99%
“…In this approach, the primary noncontinuous (discrete) structure, by using a set of assumptions, is modeled as an elastically equivalent continuous structure such as beam model (one-dimensional analytical model based on beam theory) [38,53]. Usually, the continuum approach can be applied to model the low and medium-rise buildings up to 20 stories [64][65][66][67][68][69]. However, several reviewed articles used this approach to model the outrigger and belt-truss system in tall buildings [12,62,70].…”
Section: Continuum Approachmentioning
confidence: 99%
“…The mass ratio μ may be chosen in the range of 1/50 to 1/15 for a first design approach. [37] The optimal period of vibration, spring constant, and damping coefficient of the nth TMD are computed by Equations (38) to (40), respectively.…”
Section: Csfdm With Tmdsmentioning
confidence: 99%
“…The value of the lateral stiffness ratio α depends on the flexural and shear rigidities of the building, which can be computed through the individual flexural and shear rigidities of the braced frames and shear walls, just as Bozdogan [38] does. In this way, the use of finite element software packages is avoided; however, in this numerical example, the value of α is obtained by comparing the frequencies of the higher modes of vibration between the CSFCM (Equation 11) and the FEM.…”
Section: Verification and Validation Of The Uniform Csfdmmentioning
confidence: 99%
“…Other authors (Savassi and Mancini, ) have also developed a one‐dimensional FE numerical version based on the continuous medium technique to analyze coupled shear walls and to emphasize the capacity of a correspondingly simple computer code. In addition, a new approximate method has been proposed (Bozdogan et al ., , Bozdogan, ; Bozdogan, ) based on the continuum approach, the FE method, and the so‐called transfer matrix that is able to simply and efficiently estimate the static and fundamentally dynamic characteristics of coupled walls. Moreover, a method has been proposed (Wdowicki and Wdowicka, ) for the analysis of three‐dimensional shear walls and shear core assemblies having stepwise changes in the cross‐section.…”
Section: Introductionmentioning
confidence: 99%