• Title/Summary/Keyword: 확률마찰

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Probability Distribution of Displacement Response of Structures with Friction dampers Excited by Earthquake Loads Generated Using Kanai-Tajimi Filter (Kanai-Tajimi 필터 인공지진 가진된 마찰형 감쇠를 갖는 구조물의 변위 응답 확률분포)

  • Youn, Kyung-Jo;Park, Ji-Hun;Min, Kyung-Won;Lee, Sang-Hyun
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.5
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    • pp.623-628
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    • 2007
  • The accurate peak response estimation of a seismically excited structure with frictional damping system(FDS) is very difficult since the structure with FDS shows nonlinear behavior dependent on the structural period, loading characteristics, and relative magnitude between the frictional force and the excitation load. Previous studies have estimated that by replacing a nonlinear system with an equivalent linear one or by employing the response spectrum obtained based on nonlinear time history and statistical analysis. In the case that an earthquake load is defined with probabilistic characteristics, the corresponding response of the structure with FDS has probabilistic distribution. In this study, nonlinear time history analyses were performed for the structure with FDS subjected to artificial earthquake loads generated using Kanai-Tajimi filter. An equation for the probability density function (PDF) of the displacement response is proposed by adapting the PDF of the normal distribution. Finally, coefficients of the proposed PDF are obtained by regression analysis of the statistical distribution of the time history responses. Finally the correlation between PDFs and statistical response distribution is presented.

Probabilistic Analysis for Rock Slope Stability Due to Weathering Process (풍화작용에 따른 암반사면 안정성의 확률론적 해석)

  • Park, Hyuck-Jin;Woo, Ik;Um, Jeong-Gi
    • Economic and Environmental Geology
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    • v.42 no.4
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    • pp.357-366
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    • 2009
  • Since weathering weakens the rock fabric and exaggerates any structural weakness, it affects mechanical properties as well as physical and chemical properties of rock. Weathering leads to a decrease in density, strength, friction angle and cohesion, and subsequently it affects negatively on the stability of rock slope. The purpose of the study is to investigate the changes of the rock slope stability caused by discontinuities which have different weathering grades. For that, the discontinuity samples which are divided into two different weathering grades are obtained from the field and tested their mechanical properties such as JCS, JRC and residual friction angle. In order to evaluate the effects on the stability of slope due to weathering, the deterministic analysis is carried out. That is, the factors of safety for planar failure are calculated for rock masses which have two different weathering grades, such as fresh and weathered rock mass. However, since the JRC and friction angle values are widely scattered and the deterministic analysis cannot consider the variation, the factors of safety cannot represent properly the stability of the rock slope. Therefore, the probabilistic analysis has been used to consider the scattered values. In the deterministic analysis, the factors of safety for the fresh discontinuity and weathered discontinuity are 1.25 and 1.0, respectively. The results indicate the fresh discontinuities are stable for planar failure and the weathered discontinuities are marginally stable. However, the probabilities of failure for the fresh discontinuity and weathered discontinuity are 25.6% and 45.9%, respectively. This shows that both discontinuities are analyzed as unstable in the probabilistic analysis.

Intelligent Online Control for Nonlinear Mechanical Systems with Random Friction Effect (확률마찰특성을 갖는 비선형 기계시스템을 위한 지능형 온라인 제어시스템)

  • Cho, Hyun-Cheol;Lee, Kwon-Soon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.56 no.12
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    • pp.2226-2232
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    • 2007
  • This paper presents online neural control approach for nonlinear mechanical systems with random friction nature. We construct neural auxiliary control to compensate a control error in online for overcoming friction effect which reduces control performance in real-time implementation. Friction dynamics is estimated by using online least square(LS) method, which is utilized for online learning of the neural network. We accomplish computer simulation for evaluating the proposed control approach comparing offline control method to demonstrate its superiority.

Kinetic Analysis of the Probability of Hexagonal Face in Juryeonggu (주령구에서 육각면이 나올 확률에 대한 운동역학적 해석)

  • Yoo, Wan Suk;Lee, Jeong Han
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.41 no.11
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    • pp.1085-1089
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    • 2017
  • Juryeonggu is a cuboctahedral die that was used during the Silla period in ancient Korea. This cuboctahedral die consists of two different penal servitudes of 14 sides; however, its equal probability distribution enables it to be used as a die. In this paper, a precise cuboctahedral die, Juryeonggu, was manufactured, and its probability was measured through experiments. Next, the probability was verified through Multibody-dynamics (MBD) modeling and analysis, and the effect of the coefficient of friction on the probability distribution was studied.

The Proposal for Friction Velocity Formula at Uniform Flow Channel Using the Entropy Concept (엔트로피 컨셉을 이용한 등류수로 마찰속도식 제안)

  • Choo, Tai-Ho;Son, Hee-Sam;Yun, Gwan-Seon;Noh, Hyun-Seok;Ko, Hyun-Soo
    • The Journal of the Korea Contents Association
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    • v.15 no.2
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    • pp.499-506
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    • 2015
  • The friction velocity is a quantity with the dimensions of velocity defined by the friction stress and density of a wall surface at near wall of flow condition. Also, the friction velocity is the hydraulic parameter describing shear force at the bottom flow. Moreover, it is a very important factor in designing open channel and essential to determine the mixing coefficient in the main flow direction. The estimation of the friction velocity are such as methods using channel slope, linear law of the mean velocity at viscous sub-layer and direct measurement of wall shear stress, etc. In the present study, we propose a friction velocity equation that has been optimized by combining the concept of entropy, which is used in stochastic method, and to verify the proposed equation, the experimental data measured by Song was used. The R squared for friction velocities between proposed equation and friction velocity formula analyzed 0.999 to 1.000 in a very good agreement with each equation.

Experimental Study on the Probability-based Equivalent Linearization of a Friction Damper-Brace System (마찰감쇠기-가새 시스템의 확률분포 기반 등가선형화에 관한 실험적 연구)

  • Kang, Kyung-Soo;Park, Ji-Hun
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.16 no.4 s.109
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    • pp.394-403
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    • 2006
  • A new equivalent linearization technique is proposed for a friction damper-brace system (FDBS) idealized as a elastoplastic system. The equivalent linearization technique utilizes secant stiffness and dissipated energy defined by the probability distribution of the extremal displacement of the FDBS. In addition, a conversion scheme is proposed so that an equivalent linear system is designed first and converted to the FDBS. For comparative study, an existing model update technique based on system identification is modified in a form appropriate to update single element. For the purpose of verification, shaking table tests of a small scale three-story shear building model, in which a rotational FDBS is installed, are conducted and equivalent linear systems are obtained using the proposed technique and the model update technique. Complex eigenvalue analysis is conducted for those equivalent linear systems, and the natural frequencies and modal damping ratios are compared with those obtained from system identification. Additionally, RMS and peak responses obtained from time history analysis of the equivalent linear systems are compared with measured ones.

Estimation and Evaluation of Water-film Thickness on Airport Runway according to Climate Change (기후변화에 따른 공항 활주로의 수막두께 산정 및 평가)

  • Park, Se-Min;Kim, Jeong-Bae;Bae, Deg-Hyo
    • Proceedings of the Korea Water Resources Association Conference
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    • 2016.05a
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    • pp.166-166
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    • 2016
  • 국내에서는 기후변화로 인해 집중호우 및 태풍 발생이 증가하고 있으며, 이는 자연재해의 발생뿐만 아니라 차량 및 항공 운항의 어려움을 야기한다. 차량 및 항공 운항의 안정성 확보를 위해서는 노면의 마찰저항을 유지하는 것이 중요한데, 강수로 인해 형성되는 수막두께는 노면의 마찰저항을 감소시키므로 포장설계시 고려해야 할 주요소이다. 특히, 물적/인적 이동이 많은 공항은 기상조건에 더욱 취약하며, 기후변화로 인한 강수특성 변화로 활주로의 수막두께 증가 및 운항의 차질이 우려되고 있다. 따라서 본 연구에서는 과거 및 미래 강우조건에 따라 활주로 노면의 수막두께를 산정하고, 기후변화에 따른 수막두께의 변화를 평가하고자 한다. 과거 관측 및 기후변화 시나리오를 이용하여 강우자료를 생산하였고, 이를 강우-유출 모형의 강우 입력 자료로 활용하였다. 과거 강우자료는 인천지점의 기상청 관측자료를 수집하였으며, AR5 RCP 시나리오(RCP4.5, RCP8.5) 기반의 적정 GCMs 결과를 활용하여 미래 강우시나리오를 산정하였다. 강우의 재현기간 및 지속시간에 따른 수막두께의 변화를 분석하기 위해 인천지역의 과거 및 미래 확률강우량을 산정하였다. 수막두께를 산정하기 위해 활주로 폭, 경사 등 활주로 제원을 수집하고, 유출 모형의 입력자료를 구축하였다. 과거 및 미래 확률강우량을 SWMM 모형에 적용하여 유출량을 산정하였으며, 유속과 흐름폭으로 나누어 활주로의 수막두께를 산정하였다. 산정결과, 강우량이 증가함에 따라 수막두께는 증가하고, 강우의 지속시간이 증가함에 따라서는 감소하는 것으로 분석되었다. 미래의 경우, 기후변화의 영향에 따라 강수량이 증가하여 수막두께가 과거에 비해 증가하였다.

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Dynamic Frictional Behavior of Saw-cut Rock Joints Through Shaking Table Test (진동대 시험에 의한 편평한 암석 절리면의 동적 마찰거동 특성)

  • Park Byung-Ki;Jeon Seokwon
    • Tunnel and Underground Space
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    • v.16 no.1 s.60
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    • pp.58-72
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    • 2006
  • In recent years, not only the occurrences but the magnitude of earthquakes in Korea are on an increasing trend and other sources of dynamic events including large-scale construction, operation of hi띤-speed railway and explosives blasting have been increasing. Besides, the probability of exposure fir rock joints to free faces gets higher as the scale of rock mass structures becomes larger. For that reason, the frictional behavior of rock joints under dynamic conditions needs to be investigated. In this study, a shaking table test system was set up and a series of dynamic test was carried out to examine the dynamic frictional behavior of rock joints. In addition, a computer program was developed, which calculated the acceleration and deformation of the sliding block theoretically based on Newmark sliding block procedure. The static friction angle was back-calculated by measuring yield acceleration at the onset of slide. The dynamic friction angle was estimated by closely approximating the experimental results to the program-simulated responses. As a result of dynamic testing, the static friction angle at the onset of slide as well as the dynamic friction angle during sliding were estimated to be significantly lower than tilt angle. The difference between the tilt angle and the static friction angle was $4.5\~8.2^{\circ}$ and the difference between the tilt angle and the dynamic friction angle was $2.0\~7.5^{\circ}$. The decreasing trend was influenced by the magnitude of the base acceleration and inclination angle. A DEM program was used to simulate the shaking table test and the result well simulated the experimental behavior. Friction angles obtained by shaking table test were significantly lower than basic friction angle by direct shear test.

Effect of Initial Crack Location on Spatial Randomness of Fatigue Crack Growth Resistance in Friction Stir Welded AA7075-T651 Plates (마찰교반용접된 AA7075-T651 판재의 피로균열전파저항의 공간적 불규칙성에 미치는 초기균열위치의 영향)

  • Kim, Seon Jin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.38 no.9
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    • pp.999-1004
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    • 2014
  • In the present paper, the effects of initial crack location on spatial randomness of fatigue crack growth resistance (FCGR) in friction stir welded (FSWed) AA7075-T651 plates were studied. The objective of this study is to characterize the statistical properties of FCGR for three different types of initial crack location (ICL) specimens. In this work, the FCGR coefficients were treated as a spatial random process. It was found that the FCGR coefficients for all initial crack location specimens closely followed a two parameter Weibull distribution. The shape parameter of the Weibull distribution for BM-ICL specimens showed the largest value of 7.50, and that for the WM-ICL specimens showed the smallest value of 2.61. In addition, the autocorrelation functions for all the ICL specimens followed the exponential function.

Reliability-Based Design of Shallow Foundations Considering The Probability Distribution Types of Random Variables (확률변수의 분포특성을 고려한 얕은기초 신뢰성 설계)

  • Kim, Chang-Dong;Kim, Soo-Il;Lee, Jun-Hwan;Kim, Byung-Il
    • Journal of the Korean Geotechnical Society
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    • v.24 no.1
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    • pp.119-130
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    • 2008
  • Uncertainties in physical and engineering parameters for the design of shallow foundations arise from various aspects such as inherent variability and measurement error. This paper aims at investigating and reducing uncertainty from deterministic method by using the reliability-based design of shallow foundations accounting for the variation of various design parameters. A probability distribution type and statistics of random variables such as unit weight, cohesion, infernal friction angle and Young's modulus in geotechnical engineering are suggested to calculate the ultimate bearing capacities and immediate settlements of foundations. Reliability index and probability of failure are estimated based on the distribution types of random variables. Widths of foundation are calculated at target reliability index and probability of failure. It is found that application and analysis of the best-fit distribution type for each random variables are more effective than adoption of the normal distribution type in optimizing the reliability-based design of shallow foundations.