Three Dimensional Extension for Park and Ang Damage Model

Guo, Jing; Wang, J.J.; Li, Y.; Zhao, Weigang; Du, Yanliang

doi:10.1016/j.istruc.2016.06.008

Cited by 11 publications

(4 citation statements)

References 15 publications

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“….,J n ) n×n , in which m xj , m yj , and J j are the mass and moment of inertia in the x-direction, y-direction, and torsional direction of jth story, respectively. Consider ϕ T i Mϕ i for each mode in Equation (7), set E i = ϕ T i Mϕ i , and submit Equation (5b), Equation ( 6), and Equation ( 8) into it, then the following equation can be obtained:…”

Section: Three-dimensional Seismic Damage Modelmentioning

confidence: 99%

“…This index can describe the seismic story damage state of asymmetric structures, but it does not provide a measure of the overall global damage to the structure. Guo et al [7] extended the Park-Ang damage model to three-dimensional structures but did not address the overall torsion problem of the structure, as they relied on the moment-curvature relationship of the structural components. Mirshafiei et al [8], for structures with slight damage, established a three-dimensional seismic damage assessment method based on on-site environmental vibration measurements of acceleration and velocity sensors.…”

Section: Introductionmentioning

confidence: 99%

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A Three-Dimensional Seismic Damage Assessment Method for RC Structures Based on Multi-Mode Damage Model

Guo,

Liu,

Wang

et al. 2024

Buildings

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To rationally evaluate the seismic damage of RC structures comprehensively and multi-dimensionally, a damage index calculation method is proposed. This is a macroscopic global seismic damage model that considers torsional damage, damage in two perpendicular horizontal directions, as well as the overall damage, based on the modal characteristics of the three-dimensional structure and the multi-mode damage model. Formulas are derived, and the steps for damage evaluation are summarized. To better illustrate the results of the proposed method, an example of an asymmetric 6-story frame-shear wall structure is built using the OpenSees program. Thirteen ground motions are selected for incremental dynamic analysis. The structure’s damage indexes are evaluated according to the proposed method and compared with the corresponding structural responses, He et al.’s index, and the Final Softening index. The results demonstrate that the proposed method can fully reflect the macroscopic damage state of the structure from different perspectives. Additionally, the results show that, despite the ground motion only acting in the y-direction, the structure exhibits responses and damage in both the x-direction and the torsional direction. The overall damage to the structure is primarily controlled by the torsional damage, attributed to the asymmetric arrangement of shear walls. The torsional effect is the key factor leading to the failure of asymmetric structures during earthquakes. Therefore, ensuring the torsional strength of the structure is crucial during the structural design process.

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Section: Three-dimensional Seismic Damage Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Three-Dimensional Seismic Damage Assessment Method for RC Structures Based on Multi-Mode Damage Model

Guo,

Liu,

Wang

et al. 2024

Buildings

View full text Add to dashboard Cite

show abstract

“…Subsequently, scholars have continuously modified the model from the aspects of accuracy [ 9 , 10 , 11 ], uncertainty quantification [ 12 , 13 ], and different structural components [ 14 , 15 , 16 ]. Furthermore, the effects of fatigue characteristics [ 17 , 18 ], inelastic displacement ratio [ 19 ], restoring force [ 20 ], and three-dimensional damage [ 21 ] are further considered in the models, and these damage models are widely used in seismic damage analysis and evaluation.…”

Section: Introductionmentioning

confidence: 99%

Seismic Damage Evaluation of Beam-Column Joints in Monolithic Precast Concrete Frame Structures

Cao

Yang

2022

Materials

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Quantitative calculation and evaluation of seismic damage are very important for structural safety, performance-based structural analysis, and seismic reinforcement. However, the relevant research results for precast concrete structures are extremely limited. In this paper, the seismic damage evaluation of beam-column joints in monolithic precast concrete frames was studied through cyclic loading tests and damage index calculation. The seismic damage process, load-displacement relationship, stiffness degradation, and the influence of axial compression ratio were analyzed, then the damage indexes were calculated and analyzed, and the quantitative evaluation of joint damage was conducted last. The results show that the connection seams can significantly affect the mechanical properties of precast joints, easily causing damage concentration, resulting in a lower bearing capacity and faster stiffness degradation compared with a cast-in-situ joint. A larger axial compression ratio can bring higher bearing capacity for the precast joints, and the peak load can be increased by 42.9% when the axial compression ratio is increased from 0.2 to 0.4. In contrast, the stiffness degradation will be accelerated with the increase in the axial compression ratio. From yield load to peak load, the stiffness of the precast joint with the largest axial compression ratio decreases by 46.0%, while the joint with the smallest axial compression ratio is only 36.4%. The damage index model adopted in this paper can accurately reflect the damage characteristics of the precast joints. The presented damage states based on the damage index calculation can accurately reflect the joint’s damage characteristics according to different stages. The paper realizes the quantitative damage evaluation for this kind of joint and provides a theoretical basis and method for further studies.

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“…The well-known Park and Ang model, which was initially defined by Park and Ang (1985) and then modified by Kunnath et al (1992) can solve the problem in which the maximum deformation of a structure and its hysteretic energy are the main factors for quantifying structural damage. Many studies on the evaluation process of structural seismic damage based on the Park and Ang model have been conducted (Abbas, 2011; Siddhartha et al, 2011; Guo et al, 2016; Sun et al, 2020; Mohsen et al, 2021). Lu and Wei (2008) investigated the strength reduction factor on a direct damage basis using the modified Park and Ang model, presented the damage-based strength reduction factor spectra, discussed the effects of ground motions, site conditions, earthquake magnitude, and distance to rupture, and proposed an empirical expression of strength reduction factor.…”

Section: Introductionmentioning

confidence: 99%

Damage-based strength reduction factor spectra of structures subjected to bidirectional ground motions

Wang

Zhang

et al. 2022

Advances in Structural Engineering

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The current research on the damage-based strength reduction factor has been completely based on the inelastic single-degree-of-freedom systems that are more suitable for two-dimensional analyses. Therefore, it is necessary to construct damage-based strength reduction factor spectra for systems subjected to bidirectional ground motions. In this study, an inelastic single-mass bi-degree-of-freedom (SMBDOF) system subjected to the orthogonal bidirectional ground motions with the hysteretic property of two-dimensional yield-surface plasticity function is presented, and the x-component of the system is used to construct the damage-based strength reduction factor spectra of the system ( R b spectra). The Park-Ang damage model is used to determine the constant damage index of the R b spectra. In addition, 178 ground motion records for site classes C, D, and E are considered as ground excitations of the SMBDOF system to construct the mean R b spectra with the format of R b- D- T for a given ductility capacity and R b- μ u- T for a given damage level. The R b spectra of the SMBDOF system is compared with the corresponding R spectra of the SDOF system. Statistical analysis considering different values of the natural period, ductility capacity, damage index, period ratio, and site condition is conducted. Analysis results show that the coupling of two-component responses of an inelastic system could increase the strength demand of the system in certain cases; the trend of the R b spectra presented in this study is approximately consistent for different site classes, but the spectral values have the characteristic of site conditions. Therefore, the influence of the period ratio should be considered because a large period difference between two components of the SMBDOF system could aggravate seismic damage in certain situations. Based on the statistical analysis, the expression of R b spectra curves with a period ratio γ = 1 is derived using the regression analysis, and the correction expression is obtained considering the influence of the period ratio on the R b spectra. Then, the construction procedure of the R b spectra is introduced. The predicted R b spectra obtained by the proposed procedure is compared with the actual mean spectra, and comparison results indicate a good match.

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Three Dimensional Extension for Park and Ang Damage Model

Cited by 11 publications

References 15 publications

A Three-Dimensional Seismic Damage Assessment Method for RC Structures Based on Multi-Mode Damage Model

A Three-Dimensional Seismic Damage Assessment Method for RC Structures Based on Multi-Mode Damage Model

Seismic Damage Evaluation of Beam-Column Joints in Monolithic Precast Concrete Frame Structures

Damage-based strength reduction factor spectra of structures subjected to bidirectional ground motions

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