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Optimization of infill panel for seismic response of multi-story RC frame buildings utilizing multi criteria optimization technique

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Abstract

For seismic excitations with different intensities, the performance-based seismic design concept is essential for designers to accurately control the level of damage and keep overall seismic response of buildings within acceptable limits. In order to investigate the feasible solution-set for many real large-scale buildings such as tall buildings and large-span bridges subjected to dynamic loads, an experimental test of such a large-scale physical model is necessary but it is too expensive to conduct such a test for only one prototype. Recently, optimization of the performance-based seismic design for the large-scale structures such as multi-story RC frames is considered by engineers to obtain the optimal and rapid solution. This paper presents a technique for multi criteria analysis, which involves an inelastic analysis and dynamic response of the infill RC frames in the optimization process. The optimal geometric and mechanical properties of infill panel were investigated to improve the seismic performance of a 12-story RC infill frame. As a typical construction process in Egypt, the 12-story RC frame is introduced as a real-life large-scale case study. The parameter space investigation method was adopted along with use of IDARC-2D software for inelastic damage analysis and the visual basic programing language to establish the feasible and Pareto solution-set for the studied frames. The successful integration of inelastic damage analysis and the parameter space investigation method shows great potential to utilize the multi-criteria optimization method for large-scale structures to obtain the Pareto optimal-set in the future. The study concludes that the optimization of geometric and mechanical properties of infill panel is essential and significantly improves the seismic response and damage index of the infill RC frames.

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(Reinhorn et al. 1995)

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(Reinhorn et al. 1995)

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(Sivaselvan and Reinhorn 2000).

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Abbreviations

GFRP:

Glass-fiber reinforced polymer

RC:

Reinforced concrete

IDARC:

Inelastic damage analysis of reinforced concrete

2D:

Two dimension

PSI:

Parameter space investigation method

VBA:

Visual Basic for application

\(\alpha_{1} , \ldots ,\alpha_{n}\) :

Design variables

n :

Number of design variables

\(\alpha_{j}^{*}\) and \(\alpha_{j}^{**}\) :

Constraints of design variables

\(\alpha_{1}\) :

Wall maximum compressive strength (MPa)

\(\alpha_{2}\) :

Wall strain at maximum compressive strength (m/mm)

\(\alpha_{3}\) :

Wall maximum shear strength (MPa)

\(\alpha_{4}\) :

Thickness of the wall (mm)

f l(A):

The functional dependence (relation)

\(c_{l}^{*}\) and \(c_{l}^{**}\) :

Functional constants or standards

\(\Phi_{\upnu} (A)\) :

Particular criteria

\(\Phi_{1}\) :

Story displacement (mm)

\(\Phi_{2}\) :

Story drift (mm)

\(\Phi_{3}\) :

Story shear (KN)

\(\Phi_{4}\) :

Maximum base shear (KN)

\(\Phi_{5}\) :

Frame overall damage index

\(\Phi_{\upnu}^{**}\) :

Worst value of criterion \(\Phi_{\upnu} (A)\) acceptable to performance-based design rules

P :

Pareto optimal set

D PA :

Damage index

δ m :

Maximum deformation

δ u :

Ultimate deformation under monotonic loading

δ u,c :

Ultimate deformation under cyclic loading

δ c :

Deformation at initial cracking of concrete

δ y :

Deformation at yielding

β PA :

Non-negative combination coefficient

dE :

Incremental absorbed plastic strain energy

f y :

Yield strength

E hm :

Plastic strain energy dissipated by the structure under monotonic loading

β :

Combination coefficient

μ m :

Ratio of maximum deformation to deformation at yielding

μ u :

Ratio of ultimate deformation to deformation at yielding

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Authors and Affiliations

  1. Structural Engineering Department, Faculty of Engineering, Mansoura University, El-Mansoura, Egypt

    Mohamed A. El Zareef & Mohamed E. El Madawy

  2. Civil Engineering Department, College of Engineering and Islamic Architecture, Umm Al-Qura University, Makkah, Saudi Arabia

    Mohamed A. El Zareef

Authors
  1. Mohamed A. El Zareef
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  2. Mohamed E. El Madawy
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Correspondence to Mohamed A. El Zareef.

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El Zareef, M.A., El Madawy, M.E. Optimization of infill panel for seismic response of multi-story RC frame buildings utilizing multi criteria optimization technique. Bull Earthquake Eng 16, 4951–4970 (2018). https://doi.org/10.1007/s10518-018-0363-3

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