• Title/Summary/Keyword: Material Uncertainties

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Probability Analysis of Plane Strain Element using Boundary Element Method (경계요소법을 이용한 평면변형율요소의 확률해석)

  • Jeon, Jeong-Bae;Yoon, Seong-Soo;Park, Jin-Seon;Lee, Hyeong-Ryeol
    • Journal of The Korean Society of Agricultural Engineers
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    • v.54 no.4
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    • pp.39-46
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    • 2012
  • The objectives of this study is intended to analyze stresses using the boundary element method and probability analysis for agricultural structure. Loads and material properties are an important factor when analyzing the structure. Until now, designing structure, loads and material properties are applied deterministic value. However, load and material properties involve uncertainties due to those change probabilistic and deterministic methods could not consider uncertainties. To solve these problems, the reliability analysis based on probability properties scheme was developed. Reliability analysis is easy to approach to analysis frame structure, however it has limitation when solving plane stress strain problems a kind of agricultural structures. The BEM (Boundary Element Method) is able to analysis plane strain problems by boundary conditions. Thus, this study applied boundary element method to analysis plane strain problem, load and material properties as a probabilistic value to calculate the analytical model using Monte Carlo simulations were developed.

Adaptive Fuzzy Excitation Controller for Power System Stabilization (전력계통 안정화를 위한 적응 퍼지 여자 제어기)

  • Park, Jang-Hyun;Chang, Young-Hak;Lee, Jin;Moon, Chae-Joo
    • Proceedings of the KIPE Conference
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    • 2005.07a
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    • pp.693-696
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    • 2005
  • We propose a robust adaptive fuzzy controller for the transient stability and voltage regulation of a single-machine inflnite bus power system. The proposed control scheme is based on the input-output linearization to eliminate the system nonlinearities. To deal with uncertainties due to a parameter variation or a fault, we introduce fuzzy systems with universal function approximating capability which estimate the uncertainties on-line.

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On the Implementation of Fuzzy Arithmetic for Prediction Model Equation of Corrosion Initiation

  • Do Jeong-Yun;Song Hun;Soh Yang-Seob
    • Journal of the Korea Concrete Institute
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    • v.17 no.6 s.90
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    • pp.1045-1051
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    • 2005
  • For critical structures and application, where a given reliability must be met, it is necessary to account for uncertainties and variability in material properties, structural parameters affecting the corrosion process, in addition to the statistical and decision uncertainties. This paper presents an approach to the fuzzy arithmetic based modeling of the chloride-induced corrosion of reinforcement in concrete structures that takes into account the uncertainties in the physical models of chloride penetration into concrete and corrosion of steel reinforcement, as well as the uncertainties in the governing parameters, including concrete diffusivity, concrete cover depth, surface chloride concentration and critical chloride level for corrosion initiation. The parameters of the models are regarded as fuzzy numbers with proper membership function adapted to statistical data of the governing parameters and the fuzziness of the corrosion time is determined by the fuzzy arithmetic of interval arithmetic and extension principle

Robust decentralized control of structures using the LMI Hcontroller with uncertainties

  • Raji, Roya;Hadidi, Ali;Ghaffarzadeh, Hosein;Safari, Amin
    • Smart Structures and Systems
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    • v.22 no.5
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    • pp.547-560
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    • 2018
  • This paper investigates the operation of the $H_{\infty}$ static output-feedback controller to reduce dynamic responses under seismic excitation on the five-story and benchmark 20 story building with parametric uncertainties. Linear matrix inequality (LMI) control theory is applied in this system and then to achieve the desired LMI formulations, some transformations of the LMI variables is used. Conversely uncertainties due to material properties, environmental loads such as earthquake and wind hazards make the uncertain system. This problem and its effects are studied in this research. Also to decrease the transition of large amount of data between sensors and controller, avoiding the disruption of whole control system and economy problems, the operation of the decentralized controllers is investigated in this paper. For this purpose the comparison between the performance of the centralized, fully decentralized and partial decentralized controllers in uncoupled and coupled cases is performed. Also, the effect of the changing the number of stories in substructures is considered. Based on the numerical results, the used control algorithm is very robust against the parametric uncertainties and structural responses are decreased considerably in all the control cases but partial decentralized controller in coupled form gets the closest results to the centralized case. The results indicate the high applicability of the used control algorithm in the tall shear buildings to reduce the structural responses and its robustness against the uncertainties.

Non-stochastic interval arithmetic-based finite element analysis for structural uncertainty response estimate

  • Lee, Dongkyu;Park, Sungsoo;Shin, Soomi
    • Structural Engineering and Mechanics
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    • v.29 no.5
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    • pp.469-488
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    • 2008
  • Finite element methods have often been used for structural analyses of various mechanical problems. When finite element analyses are utilized to resolve mechanical systems, numerical uncertainties in the initial data such as structural parameters and loading conditions may result in uncertainties in the structural responses. Therefore the initial data have to be as accurate as possible in order to obtain reliable structural analysis results. The typical finite element method may not properly represent discrete systems when using uncertain data, since all input data of material properties and applied loads are defined by nominal values. An interval finite element analysis, which uses the interval arithmetic as introduced by Moore (1966) is proposed as a non-stochastic method in this study and serves a new numerical tool for evaluating the uncertainties of the initial data in structural analyses. According to this method, the element stiffness matrix includes interval terms of the lower and upper bounds of the structural parameters, and interval change functions are devised. Numerical uncertainties in the initial data are described as a tolerance error and tree graphs of uncertain data are constructed by numerical uncertainty combinations of each parameter. The structural responses calculated by all uncertainty cases can be easily estimated so that structural safety can be included in the design. Numerical applications of truss and frame structures demonstrate the efficiency of the present method with respect to numerical analyses of structural uncertainties.

Determination of Shear Wave Velocity Profile Model Considering Uncertainty Caused by Spatial Variation of Material Property in Rockfill Zone of Fill Dam (물성치 변동성에 의한 불확실성이 고려된 국내 필댐 사력부를 위한 전단파 속도 주상도 모델)

  • Park, Hyung-Choon
    • Journal of the Korean Geotechnical Society
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    • v.35 no.2
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    • pp.29-36
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    • 2019
  • There always exist the spatial variations of material properties such as a shear wave velocity in a dam and between same type dams. These uncertainties cause those in evaluation of a shear wave velocity profile of a dam and should be considered in determining the shear wave velocity profile for a rockfill zone of a fill dam. In this paper, these uncertainties of a shear wave velocity in the rockfill zone of the fill dam in Korea are evaluated. And the shear wave velocity profile model considering these uncertainties in rockfillzone is proposed using the method based on Harmonic wavelet transform. The proposed shear wave velocity profile model is compared with Sawada-Takahashi model widely used for evaluation of a shear wave velocity profile of a rockfill zone of fill dams.

Seismic Fragility Analysis based on Material Uncertainties of I-Shape Curved Steel Girder Bridge under Gyeongju Earthquake (강재 재료 불확실성을 고려한 I형 곡선 거더 교량의 경주 지진 기반 지진 취약도 분석)

  • Jeon, Juntai;Ju, Bu-Seog;Son, Ho-Young
    • Journal of the Society of Disaster Information
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    • v.17 no.4
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    • pp.747-754
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    • 2021
  • Purpose: Seismic safety evaluation of a curved bridge must be performed since the curved bridges exhibit the complex behavior rather than the straight bridges, due to geometrical characteristics. In order to conduct the probabilistic seismic assessment of the curved bridge, Seismic fragility evaluation was performed using the uncertainty of the steel material properties of a curved bridge girde, in this study. Method: The finite element (FE) model using ABAQUS platform of the curved bridge girder was constructed, and the statistical parameters of steel materials presented in previous studies were used. 100 steel material models were sampled using the Latin Hypercube Sampling method. As an input ground motion in this study, seismic fragility evaluation was performed by the normalized scale of the Gyeongju earthquake to 0.2g, 0.5g, 0.8g, 1.2g, and 1.5g. Result: As a result of the seismic fragility evaluation of the curved girder, it was found that there was no failure up to 0.03g corresponding to the limit state of allowable stress design, but the failure was started from 0.11g associated with using limit state design. Conclusion: In this study, seismic fragility evaluation was performed considering steel materials uncertainties. Further it must be considered the seismic fragility of the curved bridge using both the uncertainties of input motions and material properties.

Structural Reliability Analysis of the Roket Motor Case considering Uncertainties in Material Properties (재료물성치의 분포를 고려한 로켓모터케이스의 구조 신뢰성 해석)

  • Ro, Young-Hee;Goo, Song-Hoe
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2011.11a
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    • pp.523-526
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    • 2011
  • This is concerned with the structural reliability analysis(RA) considering uncertainties in material properties. This method is performed by the stochastic process using Kriging with calculating the distribution of probability and equation of limit state for saving calculated and analyzed time. The proposed methodology is applied to the rocket motor case and compared with monte-calro simulation in efficiency and accuracy of this process.

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Dynamic behavior of the one-stage gear system with uncertainties

  • Beyaoui, M.;Guerine, A.;Walha, L.;Hami, A. El;Fakhfakh, T.;Haddar, M.
    • Structural Engineering and Mechanics
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    • v.58 no.3
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    • pp.443-458
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    • 2016
  • In this paper, we propose a method for taking into account uncertainties based on the projection on polynomial chaos. Due to the manufacturing and assembly errors, uncertainties in material and geometric properties, the system parameters including assembly defect, damping coefficients, bending stiffness and traction-compression stiffness are uncertain. The proposed method is used to determine the dynamic response of a one-stage spur gear system with uncertainty associated to gear system parameters. An analysis of the effect of these parameters on the one stage gear system dynamic behavior is then treated. The simulation results are obtained by the polynomial chaos method for dynamic analysis under uncertainty. The proposed method is an efficient probabilistic tool for uncertainty propagation. The polynomial chaos results are compared with Monte Carlo simulations.

Probabilistic capacity spectrum method considering soil-structure interaction effects (지반-구조물 상호작용 효과를 고려한 확률론적 역량스펙트럼법)

  • Nocete, Chari Fe M.;Kim, Doo-Kie;Kim, Dong-Hyawn;Cho, Sung-Gook
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2008.04a
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    • pp.65-70
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    • 2008
  • The capacity spectrum method (CSM) is a deterministic seismic analysis approach wherein the expected seismic response of a structure is established as the intersection of the demand and capacity curves. Recently, there are a few studies about a probabilistic CSM where uncertainties in design factors such as material properties, loads, and ground motion are being considered. However, researches show that soil-structure interaction also affects the seismic responses of structures. Thus, their uncertainties should also be taken into account. Therefore, this paper presents a probabilistic approach of using the CSM for seismic analysis considering uncertainties in soil properties. For application, a reinforced concrete bridge column structure is employed as a test model. Considering the randomness of the various design parameters, the structure's probability of failure is obtained. Monte Carlo importance sampling is used as the tool to assess the structure's reliability when subjected to earthquakes. In this study, probabilistic CSM with and without consideration of soil uncertainties are compared and analyzed. Results show that the analysis considering soil structure interaction yields to a greater probability of failure, and thus can lead to a more conservative structural design.

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