Model uncertainty in non‐linear numerical analyses of slender reinforced concrete members

Gino, Diego; Castaldo, Paolo; Giordano, Luca; Mancini, Giuseppe

doi:10.1002/suco.202000600

Cited by 65 publications

(24 citation statements)

References 24 publications

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“…Numerical models are always affected by aleatory and epistemic uncertainties, and the design values of structural resistance in numerical analyses can be evaluated accounting for the influence of aleatory and epistemic uncertainties through the definition of appropriate partial safety factors in line with pre-determined target levels (Castaldo et al. , 2018, 2019; Gino et al. , 2021).…”

Section: Case Studiesmentioning

confidence: 99%

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A practical discrete sizing optimization methodology for the design of high-rise concrete buildings

Lou

Xiao

Wan

et al. 2022

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PurposeIn this article, a practical design methodology is proposed for discrete sizing optimization of high-rise concrete buildings with a focus on large-scale and real-life structures.Design/methodology/approachThis framework relies on a computationally efficient approximation of the constraint and objective functions using a radial basis function model with a linear tail, also called the combined response surface methodology (RSM) in this article. Considering both the code-stipulated constraints and other construction requirements, three sub-optimization problems were constructed based on the relaxation model of the original problem, and then the structural weight could be automatically minimized under multiple constraints and loading scenarios. After modulization, the obtained results could meet the discretization requirements. By integrating the commercially available ETABS, a dedicated optimization software program with an independent interface was developed and details for practical software development were also presented in this paper.FindingsThe proposed framework was used to optimize different high-rise concrete buildings, and case studies showed that material usage could be saved by up to 12.8% compared to the conventional design, and the over-limit constraints could be adjusted, which proved the feasibility and effectiveness.Originality/valueThis methodology can therefore be applied by engineers to explore the optimal distribution of dimensions for high-rise buildings and to reduce material usage for a more sustainable design.

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Section: Case Studiesmentioning

confidence: 99%

“…factors in line with pre-determined target levels (Castaldo et al, 2018(Castaldo et al, , 2019Gino et al, 2021). In the design of building structures, safety classes are generally based on the consequences and types of failure, including risk to human safety, environmental damage, and economic loss.…”

Section: Discrete Sizing Optimizationmentioning

confidence: 99%

A practical discrete sizing optimization methodology for the design of high-rise concrete buildings

Lou

Xiao

Wan

et al. 2022

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“…An extended model formula is developed based on the comprehensive information database to evaluate laboratory testing, error estimation, and accurate numerical solutions. Gino et al [ 23 ] discussed the influence of experimental uncertainty on the statistical estimation of uncertain random variables of the resistance model. The uncertain resistance model is characterized by comparing experimental results and numerical results, and the cognitive uncertainty is quantified.…”

Section: Introductionmentioning

confidence: 99%

Durability Investigation on CFRP Strengthened Cementitious Materials in Cold Region

Wang

et al. 2022

Polymers

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Epoxy resin, CFRP (Carbon Fiber Reinforced Polymer) sheet, and concrete flexural specimens are selected to study the durability of carbon fiber strengthened cementitious materials in a cold region. Two exposure environments, chloride immersion and salt-freeze coupling, are set up, and the mechanical deterioration is discussed utilizing a microscopic observation mechanical test and finite element analysis. The damage to the epoxy resin, CFRP sheet, and concrete exerts a more severe performance degradation in the salt-freeze coupling environment when compared with the chlorine salt immersion environment. The freeze–thaw action destroys the bonding surface of CFRP and concrete based on the microscope observation. The flexural strength of the specimens strengthened with CFRP is 3.6 times higher than that of the specimens without CFRP, while the degradation rate is only 50%. These observations show that the strengthened CFRP effectively improves the cementitious material’s flexural performance in the cold region. The finite element model of epoxy and CFRP subjected to chloride immersion and salt-freeze coupling environment is established. The degradation formula of bond performance between CFRP and concrete is proposed. In addition, the flexural mechanical numerical model is established with and without CFRP strengthened concrete, respectively. Research results provide a technical reference for applying CFRP reinforced cementitious materials in a cold region.

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“…Very recently, Castaldo et al [10] and Gino et al [11] addressed the uncertainties of epistemic nature in cyclically loaded reinforced concrete systems and propose using a partial safety factor corresponding to the resistance model uncertainties in the use sof nonlinear finite element analyses.…”

Section: Introductionmentioning

confidence: 99%

Matrix equations models for nonlinear dynamic analysis of two-dimensional and three-dimensional RC structures with lateral load resisting cantilever elements

Shmerling

2022

Nonlinear Dyn

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In control engineering and structural dynamics, mathematical models such as the state-space representation, equation-of-motion, and the phase plane are matrix equations describing the system equilibrium. This paper develops novel matrix equations models for linear/nonlinear dynamic analysis of reinforced concrete (RC) buildings with cantilever elements lateral load resisting system (e.g., RC shear wall, RC core). The matrix equations models offer a reliable and idealized tool for introducing two-dimensional and three-dimensional cantilever structures to control engineering and structural dynamics' equation-of-motion. The displacement-related stiffness matrix of cantilever elements is determined using the Left Riemann Sums (LRS) numerical integration method that yields transformation matrices that cater to the element's boundary conditions. The threedimensional structure's mass and stiffness matrices are determined using the Direct Stiffness Method (DSM) and local-to-global-coordinates transformation matrices. The nonlinear matrix structural analysis employs a smooth hysteretic model for deteriorating inelastic structures, referring to the relation between the bending moment and the bending-curvature through the bending-stiffness. The parameters controlling the cyclic behavior regard a composite RC crosssection subject to gravitational load and bending simultaneously. The paper includes four examples that exemplify the practical utilization of the matrix equations models in analyzing two-dimensional and three-dimensional structures of linearly-elastic and inelastic properties. The four examples demonstrated the idealized applicability of the matrix equations models that suit state-space, equation-of-motion, and phase plane analyses.

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Model uncertainty in non‐linear numerical analyses of slender reinforced concrete members

Cited by 65 publications

References 24 publications

A practical discrete sizing optimization methodology for the design of high-rise concrete buildings

A practical discrete sizing optimization methodology for the design of high-rise concrete buildings

Durability Investigation on CFRP Strengthened Cementitious Materials in Cold Region

Matrix equations models for nonlinear dynamic analysis of two-dimensional and three-dimensional RC structures with lateral load resisting cantilever elements

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