• Title/Summary/Keyword: Limit Analysis method

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On a Goal-Directed Reactive Navigation Method for a Mobile Robot (이동 로봇의 자율주행을 위한 목표점 지향 반사 주행 방식)

  • 오용환;윤도영;오상록;박귀태
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.53 no.4
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    • pp.246-257
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    • 2004
  • This paper proposes two contributions. One is an analysis for the limit of the subject of goal-directed reactive robot navigation, and the other is an effective navigation method employing the scheme of the subject. The analysis for the subject is presented in order to clarify the limit of the method. On the basis of the analysis, a safety-guaranteeing and deadlock-free reactive navigation method is newly proposed. The proposed method has a simple behavior-based frame such that it can make the required navigation tasks such as obstacle avoidance, deadlock resolving, and etc. with a very small set of behaviors in entirely unknown environments such as a living room, an office, and etc. Some results of experiments show these validities.

Analysis on Bearing Capacity of Eccentrically Loaded Shallow Footing Using Upper Bound Method of Limit Analysis (편심하중 작용시 극한해석 상계법을 이용한 얕은 기초의 지지력 분석)

  • 상현규;최명진;김팔규;권오균
    • Proceedings of the Korean Geotechical Society Conference
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    • 2000.11a
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    • pp.261-268
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    • 2000
  • In this study the bearing capacity of the eccentrically loaded shallow footing is estimated by means of the upper bound method of limit analysis. In the case of applying the upper bound, the results depend on the failure mechanism. So the failure surface is correctly studied through the model test using sand. New method is proposed to estimate the bearing capacity of the eccentrically loaded shallow footing by means of the upper bound method to apply the failure mechanism based on the model test. The propriety of new method is verified by the results of various methods. And the influences of the variables eccentricity, embedment depth, variations of contact width factor by model test using sand are also studied in this paper

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Static and quasi-static slope stability analyses using the limit equilibrium method for mountainous area

  • Hosung Shin
    • Geomechanics and Engineering
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    • v.34 no.2
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    • pp.187-195
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    • 2023
  • Intensive rainfall during the summer season in Korea has triggered numerous devastating landslides outside of downtown in mountainous areas. The 2D slope stability analysis that is generally used for cut slopes and embankments is inadequate to model slope failure in mountainous areas. This paper presents a new 3D slope stability formulation using the global sliding vector in the limit equilibrium method, and it uses an ellipsoidal slip surface for static and quasi-static analyses. The slip surface's flexibility of the ellipsoid shape gives a lower FS than the spherical failure shape in the Fellenius, Bishop, and Janbu's simplified methods. The increasing sub-columns of each column tend to increase the FS and converge to a steady value. The symmetrical geometric conditions of the convex turning corners do not indicate symmetrical failure of the surface in 3D analysis. Pseudo-static analysis shows that the horizontal seismic force decreases the FS and increases the mass volume at the critical failure state. The stability index takes the FS and corresponding sliding mass into consideration to assess the potential risk of slope failure in complex mountainous terrain. It is a valuable parameter for selecting a vulnerable area and evaluating the overall risk of slope failure.

A Study on Change of Safety Factor according to Slope Analysis Method using Strength Parameters and Slope Change (강도 정수와 경사도 변화를 활용한 비탈면 해석기법에 따른 안전율 변화에 관한 연구)

  • Moon, Hyojong;Shim, Jeonghoon;Jeong, Jisu;Lee, Seungho
    • The Journal of Engineering Geology
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    • v.27 no.1
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    • pp.31-40
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    • 2017
  • The slope stability analysis by the limit equilibrium method has the disadvantage that it can be applied only when the analysis is performed by setting the critical plane after analyzing the active surface many times and the soil is uniform and only the safety factor can be calculated. However, the analysis using the strength reduction analysis method has advantages that the engineer can judge various aspects and calculate the safety factor. In this study, the safety factor according to the change of slope and shear strength was compared and analyzed using limit equilibrium analysis and strength reduction method. It is suggested that it is desirable to use the strength reduction method which can synthetically review the stress, displacement, and strain in the soil.

Plastic Limit Pressure Solutions for Cracked Pipes Using 3-D Finite Element Method (3차원 유한요소해석을 통해 도출한 균열배관의 소성한계압력식)

  • Shim, Do-Jun;Huh, Nam-Su;Kim, Yun-Jae;Kim, Young-Jin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.1
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    • pp.26-33
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    • 2003
  • Based on detailed FE limit analyses, the present paper provides tractable approximations fer plastic limit pressure solutions fur axially through-wall-cracked pipe; axially (inner) surface-cracked pipe; circumferentially through-wall-cracked pipe; and circumferentially (inner) surface-cracked pipe. In particular, for surface crack problems, the effect of the crack shape, the semi-elliptical shape or the rectangular shape, on the limit pressure is quantified. Comparisons with existing analytical and empirical solutions show a large discrepancy in circumferential short through-wall cracks and in surface cracks (both axial and circumferential). Being based on detailed 3-D FE limit analysis, the present solutions are believed to be the most accurate, and thus to be valuable information not only for plastic collapse analysis of pressurised piping but also for estimating non-linear fracture mechanics parameters based on the reference stress approach.

An evaluation of influence factors based on the limit state design-AASHTO LRFD for structural analysis of shield tunnel segment lining (한계상태설계법-AASHTO LRFD를 적용한 쉴드터널 세그먼트 라이닝의 구조해석 영향인자 평가)

  • Kim, Yang-Woon;Kim, Hong-Moon;Kim, Hyun-Su;Lee, Seong-Won
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.20 no.1
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    • pp.99-118
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    • 2018
  • Recently, the limit state design method in the design of the structure is in global trend, but it is limited to a few structures in Korea. Since the introduction of the limit state design method has recently been attempted for tunnels, which are the main underground structures, it is surely necessary to understand the latest limit state design method. Therefore, based on the recently published AASHTO LRFD Road Tunnel Design and Construction Guide Specification (2017), structural load factors and load combinations were reviewed, and various factors which should be applied for the review of structures have been analyzed. In this study, utility tunnel section and subway tunnel sections used in Korea were analyzed by the limit state design method, and we have analyzed the direction of application of limit state design method through studying the tendency of member force by various influential factors such as ground conditions, load modifier and joint stiffness.

Determination of Composite Strength Parameter Using Elasto-Plastic Theory (탄소성이론을 이용한 복합지반의 대표 강도정수 예측)

  • 이주형;김영욱;박용원
    • Proceedings of the Korean Geotechical Society Conference
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    • 2002.03a
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    • pp.93-100
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    • 2002
  • Vertical reinforcement of soft soils using the deep mixing method has received increasing applications. In this study, the theory of elasticity and plasticity including the upper bound theorem of limit analysis were used to derive the equations for obtaining composite elastic properties and shear strength parameters. The developed equations were validated using the finite element computer program SAGE CRISP. The analysis involved 4 different cases-two different type of soil and replacement ratios. Tile results of the analysis show that the proposed equations could determine the properties of composite material for practical applications.

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Effect of Reference Loads on Fracture Mechanics Analysis of Surface Cracked Pipe Based on Reference Stress Method (참조응력법에 입각한 표면균열배관의 파괴역학 해석 -참조하중의 영향 분석-)

  • Shim, Do-Jun;Son, Beom-Goo;Kim, Yun-Jae;Kim, Young-Jin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.5
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    • pp.524-531
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    • 2004
  • To investigate relevance of the definition of the reference stress to estimate J and $C^{*}$ for surface crack problems, this paper compares FE J and $C^{*}$ results for surface cracked pipes with those estimated according to the reference stress approach using various definitions of the reference stress. Pipes with part circumferential inner surface crack and finite internal axial crack are considered, subject to internal pressure and global bending. The crack depth and aspect ratio are systematically varied. The reference stress is defined in four different ways using (i) the local limit load, (ii) the global limit load, (iii) the global limit load determined from the FE limit analysis, and (iv) the optimized reference load. It is found that the reference stress based on the local limit load gives overall excessively conservative estimates of J and $^{*}$. Use of the global limit load clearly reduces the conservatism, compared to that of the local limit load, although it can provide sometimes non-conservative estimates of J and $^{*}$. The use of the FE global limit load gives overall non-conservative estimates of J and $^{*}$. The reference stress based on the optimised reference load gives overall accurate estimates of J and $^{*}$, compared to other definitions of the reference stress. Based on the present finding, general guidance on the choice of the reference stress for surface crack problems is given.

Reliability index for non-normal distributions of limit state functions

  • Ghasemi, Seyed Hooman;Nowak, Andrzej S.
    • Structural Engineering and Mechanics
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    • v.62 no.3
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    • pp.365-372
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    • 2017
  • Reliability analysis is a probabilistic approach to determine a safety level of a system. Reliability is defined as a probability of a system (or a structure, in structural engineering) to functionally perform under given conditions. In the 1960s, Basler defined the reliability index as a measure to elucidate the safety level of the system, which until today is a commonly used parameter. However, the reliability index has been formulated based on the pivotal assumption which assumed that the considered limit state function is normally distributed. Nevertheless, it is not guaranteed that the limit state function of systems follow as normal distributions; therefore, there is a need to define a new reliability index for no-normal distributions. The main contribution of this paper is to define a sophisticated reliability index for limit state functions which their distributions are non-normal. To do so, the new definition of reliability index is introduced for non-normal limit state functions according to the probability functions which are calculated based on the convolution theory. Eventually, as the state of the art, this paper introduces a simplified method to calculate the reliability index for non-normal distributions. The simplified method is developed to generate non-normal limit state in terms of normal distributions using series of Gaussian functions.

Development of Stochastic Seismic Performance Evaluation Method for Structural Performance Point Based on Capacity Spectrum Method (역량스펙트럼법을 통한 구조물 성능점의 확률적 기반 내진성능평가기법 개발)

  • Choi, Insub;Jang, Jisang;Kim, JunHee
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.30 no.6
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    • pp.523-530
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    • 2017
  • In this study, a method of probabilistic evaluation of the performance point of the structure obtained by capacity spectrum method (CSM) is presented. The performance point of the 4-story and 1-bay steel structure was determined by using CSM according to ATC-40. In order to analyze whether the demand spectrums exceed the performance limit of the structure, the limit displacements are derived for the performance limit of the structure defined from the plastic deformation angle of the structural member. In addition, by selecting a total of 30 artificial seismic wave having the response spectrum similar to the design response spectrum, the fragility curves were derived by examining whether the response spectrum obtained from the artificial seismic wave were exceeded each performance limit according to the spectral acceleration. The maximum likelihood method was used to derive the fragility curve using observed excess probabilities. It has been confirmed that there exists a probability that the response acceleration value of the design response spectrum corresponding to each performance limit exceeds the performance limit. This method has a merit that the stochastic evaluation can be performed considering the uncertainty of the seismic waves with respect to the performance point of the structure, and the analysis time can be shortened because the incremental dynamic analysis (IDA) is not necessary.