• 제목/요약/키워드: hyperbolic function

검색결과 191건 처리시간 0.034초

대심도 연약지반의 현장계측을 이용한 장기침하거동특성 분석에 관한 연구 (A Study on the Long-term Settlement Characteristics of Thick Clay Deposits Using Field Monitoring)

  • 권현욱;임종철;장지건;강상균
    • 한국지반신소재학회논문집
    • /
    • 제17권4호
    • /
    • pp.21-28
    • /
    • 2018
  • 대심도 연약지반을 개량하여 상부에 개설되는 도로 등 각종 시설물의 안전을 확보하기 위해서는 공용개시 후 잔류 침하량에 대한 명확한 이해를 바탕으로 한 합리적인 설계관리기준의 설정과 예측 값 산정이 매우 중요하다. 그러나 지난 수십 년 동안 낙동강 하구 일원 등 대심도 연약지반상의 지반개량을 통해 조성된 부지에서는 설계단계에서 예측한 잔류 침하량을 크게 상회하는 침하가 발생하여 많은 시설물의 파손과 아울러 사회적인 논란을 야기되고 있음에도 이에 대한 연구는 거의 전무한 실정이다. 본 논문에서는 공용하중 개시 이후 장기간에 걸쳐 발생하는 잔류 침하에 대한 기초적이며 실무적인 연구를 위해, 대심도 연약지반개량을 통해 조성된 부지에서 약 10년에 걸쳐 측정한 침하계측결과를 이용하여 장기 침하거동 양상을 분석하였다. 그 결과 계측된 잔류침하량은 점성토층의 두께의 차이로 지점별로 차이가 있으나 침하양상은 모든 계측결과가 유사하였으며, 쌍곡선 함수식을 이용한 장래 잔류침하 예측결과와는 매우 좋은 일치를 보였다. 또한, 하부 미개량층에서 발생한 침하량이 전체침하량의 대부분(62-76%)을 차지하는 것으로 확인되어 개량층을 대상으로 허용침하량을 규정하고 있는 국내의 현실에 좀 더 신중한 고민이 필요한 것으로 나타났다.

수위예측 알고리즘 정확도 향상을 위한 Hybrid 활성화 함수 개발 (Development of hybrid activation function to improve accuracy of water elevation prediction algorithm)

  • 유형주;이승오
    • 한국수자원학회:학술대회논문집
    • /
    • 한국수자원학회 2019년도 학술발표회
    • /
    • pp.363-363
    • /
    • 2019
  • 활성화 함수(activation function)는 기계학습(machine learning)의 학습과정에 비선형성을 도입하여 심층적인 학습을 용이하게 하고 예측의 정확도를 높이는 중요한 요소 중 하나이다(Roy et al., 2019). 일반적으로 기계학습에서 사용되고 있는 활성화 함수의 종류에는 계단 함수(step function), 시그모이드 함수(sigmoid 함수), 쌍곡 탄젠트 함수(hyperbolic tangent function), ReLU 함수(Rectified Linear Unit function) 등이 있으며, 예측의 정확도 향상을 위하여 다양한 형태의 활성화 함수가 제시되고 있다. 본 연구에서는 기계학습을 통하여 수위예측 시 정확도 향상을 위하여 Hybrid 활성화 함수를 제안하였다. 연구대상지는 조수간만의 영향을 받는 한강을 대상으로 선정하였으며, 2009년 ~ 2018년까지 10년간의 수문자료를 활용하였다. 수위예측 알고리즘은 Python 내 Tensorflow의 RNN (Recurrent Neural Networks) 모델을 이용하였으며, 강수량, 수위, 조위, 댐 방류량, 하천 유량의 수문자료를 학습시켜 3시간 및 6시간 후의 수위를 예측하였다. 예측정확도 향상을 위하여 입력 데이터는 정규화(Normalization)를 시켰으며, 민감도 분석을 통하여 신경망모델의 은닉층 개수, 학습률의 최적 값을 도출하였다. Hybrid 활성화 함수는 쌍곡 탄젠트 함수와 ReLU 함수를 혼합한 형태로 각각의 가중치($w_1,w_2,w_1+w_2=1$)를 변경하여 정확도를 평가하였다. 그 결과 가중치의 비($w_1/w_2$)에 따라서 예측 결과의 RMSE(Roote Mean Square Error)가 최소가 되고 NSE (Nash-Sutcliffe model Efficiency coefficient)가 최대가 되는 지점과 Peak 수위의 예측정확도가 최대가 되는 지점을 확인할 수 있었다. 본 연구는 현재 Data modeling을 통한 수위예측의 정확도 향상을 위해 기초가 되는 연구이나, 향후 다양한 형태의 활성화 함수를 제안하여 정확도를 향상시킨다면 예측 결과를 통하여 침수예보에 대한 의사결정이 가능할 것으로 기대된다.

  • PDF

Predicting Scour at Bridge Piers

  • Briaud, Jean-Louis
    • 한국지반공학회:학술대회논문집
    • /
    • 한국지반공학회 1999년도 봄 학술발표회 논문집
    • /
    • pp.3-46
    • /
    • 1999
  • A new method called SRICOS is proposed to predict the scour depth z versus time t around a cylindrical bridge pier of diameter D founded in clay. The steps involved are ; 1. taking samples at the bridge pier site, 2. testing them in an Erosion Function Apparatus called the EFA to obtain the scour rate z versus the hydraulic shear stress applied $\tau$, 3. predicting the maximum shear stress r max which will be induced around the pier by the water flowing at ν Ο before the scour hole starts to develop, 4. using the measured z versus r curve to obtain the initial scour rate zi corresponding to r max , 5. predicting the maximum depth of scour zmax for the pier, 6. using zi and zmarx to develop the hyperbolic function describing the scour depth z versus time t curve, and 7. reading the z vs. t curve at a time corresponding to the duration of the flood to find the scour depth which will develop around the pier. A new apparatus is developed to measure the z vs t curve of step 2, a series of advanced numerical simulations are performed to develop an equation for the $\tau$ max value of step 3, and a series of flume tests are performed to develop an equation for the zmax value of step 5. The method is evaluated by comparing predictions and measurements in 42 flume experiments.

  • PDF

반복등화를 위한 LLR 연판정 비트 정보를 이용한 M-QAM 심벌 Remapping (M-QAM Symbol Remapping Using LLR Soft Bit Information for Iterative Equalization)

  • 김근배;박상규
    • 한국전자파학회논문지
    • /
    • 제22권10호
    • /
    • pp.1020-1023
    • /
    • 2011
  • 본 논문에서는 반복 복호 후 얻게 되는 LLR(Log Likelihood Ratio)로 표현되는 연판정 비트 정보를 이용하여 송신된 BRGC(Binary Reflected Gray Code) M-QAM(M-ary Quadrature Amplitude Modulation) 신호 심벌을 remapping하는 방법을 제시한다. Remapping하기 위해서는 지수함수(exponential function)연산이나 하이퍼블릭 탄젠트(tanh) 함수를 이용하여야 한다. BRGC의 맵핑 법칙에 의해 심벌 remapping은 재귀(recursive) 연산을 이용한다. 또한, 구현 복잡도를 줄이기 위하여 curve fitting 방식을 제안한다.

Self-terminated carbonation model as an useful support for durable concrete structure designing

  • Woyciechowski, Piotr P.;Sokolowska, Joanna J.
    • Structural Engineering and Mechanics
    • /
    • 제63권1호
    • /
    • pp.55-64
    • /
    • 2017
  • The paper concerns concrete carbonation, the phenomena that occurs in every type of climate, especially in urban-industrial areas. In European Standards, including Eurocode (EC) for concrete structures the demanded durability of construction located in the conditions of the carbonation threat is mainly assured by the selection of suitable thickness of reinforcement cover. According to EC0 and EC2, the thickness of the cover in the particular class of exposure depends on the structural class/category and concrete compressive strength class which is determined by cement content and water-cement ratio (thus the quantitative composition) but it is not differentiated for various cements, nor additives (i.e., qualitative composition), nor technological types of concrete. As a consequence the selected thickness of concrete cover is in fact a far estimation - sometimes too exaggerated (too safe or too risky). The paper presents the elaborated "self-terminated carbonation model" that includes abovementioned factors and enables to indicate the maximal possible depth of carbonation. This is possible because presented model is a hyperbolic function of carbonation depth in time (the other models published in the literature use the parabolic function that theoretically assume the infinite increase of carbonation depth value). The paper discusses the presented model in comparison to other models published in the literature, moreover it contains the algorithm of concrete cover design with use of the model as well as an example of calculation of the cover thickness.

Prediction model of resistivity and compressive strength of waste LCD glass concrete

  • Wang, Chien-Chih
    • Computers and Concrete
    • /
    • 제19권5호
    • /
    • pp.467-475
    • /
    • 2017
  • The purpose of this study is to establish a prediction model for the electrical resistivity ($E_r$) of self-consolidating concrete by using waste LCD (liquid crystal display) glass as part of the fine aggregate and then, to analyze the results obtained from a series of laboratory tests. A hyperbolic function is used to perform nonlinear multivariate regression analysis of the electrical resistivity prediction model, with parameters such as water-binder ratio (w/b), curing age (t) and waste glass content (G). Furthermore, the relationship of compressive strength and electrical resistivity of waste LCD glass concrete is also found by a logarithm function, while compressive strength is evaluated by the electrical resistivity of non-destructive testing (NDT). According to relative regression analysis, the electrical resistivity and compressive strength prediction models are developed, and the results show that a good agreement is obtained using the proposed prediction models. From the comparison between the predicted analysis values and test results, the MAPE value of electrical resistivity is 17.0-18.2% and less than 20%, the MAPE value of compressive strength evaluated by $E_r$ is 5.9-10.6% and nearly less than 10%. Therefore, the prediction models established in this study have good predictive ability for electrical resistivity and compressive strength of waste LCD glass concrete. However, further study is needed in regard to applying the proposed prediction models to other ranges of mixture parameters.

Boundary Control of an Axially Moving Belt System in a Thin-Metal Production Line

  • Hong, Keum-Shik;Kim, Chang-Won;Hong, Kyung-Tae
    • International Journal of Control, Automation, and Systems
    • /
    • 제2권1호
    • /
    • pp.55-67
    • /
    • 2004
  • In this paper, an active vibration control of a translating steel strip in a zinc galvanizing line is investigated. The control objectives in the galvanizing line are to improve the uniformity of the zinc deposit on the strip surfaces and to reduce the zinc consumption. The translating steel strip is modeled as a moving belt equation by using Hamilton’s principle for systems with moving mass. The total mechanical energy of the strip is considered to be a Lyapunov function candidate. A nonlinear boundary control law that assures the exponential stability of the closed loop system is derived. The existence of a closed-loop solution is shown by proving that the closed-loop dynamics is dissipative. Simulation results are provided.

CNC 공작 기계의 마찰력 보상을 위한 상호 결합 제어 (Cross-Coupled Control for the Friction Compensation of CNC Machines)

  • 주정홍;이현철;이연정;전기준
    • 제어로봇시스템학회논문지
    • /
    • 제5권4호
    • /
    • pp.462-470
    • /
    • 1999
  • In this paper, we proposed a cross-couple controller for compensating nonlinear friction of the X-Y table of CNC machines. Due to the nonlinearity of the frictions, large contour errors, referred to as quadrant glitches, occur when each axis of the X-Y table makes a zero velocity crossing. To reduce the quadrant glitches the friction compensators and nonlinear friction observers for estimating Coulomb frictions are employed in the proposed method. A hyperbolic tangent function is used in reducing the magnitude of quadrant glitches and the CEM (Contour Error Model) is utilized for the estimation of the velocities. The performance of the proposed compensators is evaluated for several trajectories by computer simulations.

  • PDF

PbS Quantum-dots in Glasses

  • Liu, Chao;Heo, Jong
    • 세라미스트
    • /
    • 제10권3호
    • /
    • pp.7-14
    • /
    • 2007
  • PbS QDs in glasses have attracted much attention due to the potentials for near-infrared applications. Growth of PbS QDs in the glass is discussed and size of PbS QDs formed in the glass can be tuned by varying the thermal treatment conditions. Hyperbolic-band approximation and four-band envelope function provide good simulation of the exciton energies of PbS QDs. Absorption and photoluminescence of PbS QDs was tuned into $1{\sim}2{\mu}m$ wave-length regime with large full width at half maximum photoluminescence intensity (>160 nm). Photoluminescence intensity of PbS QDs in the glasses was closely related to size of quantum dots, temperature, excitation and defects. Decrease in temperature shifted the photoluminescence bands to shorter wavelength and switched the photoluminescence from darkened state and brightened state.

  • PDF

수직 및 전단하중하에서 화강암 인공절리의 변형특성 (Deformation Characteristics of Artificially Fracture Joins of Granite under Normal and Shear Loading)

  • 김영근;이희근
    • 터널과지하공간
    • /
    • 제3권2호
    • /
    • pp.142-151
    • /
    • 1993
  • In this study, the deformation characteristics of atrtificially fractured joints of granite under normal and shear loading were investigated. To obtain the characteristics of joint deformation, compression and shear tests were performed in the laboratory on three different sizes of rock specimens. The rock used in the experimens was Iksan granite. Joints were produced artificially by fracturing using the apparatus for generating extension-joint. Joint normal deformability was studied by conducting cyclic loading tests on the joints. Joint closure varied non-linearly with normal stress through cyclic loadings. As normal stress increased, the joints gradually reached a state of maximum joint closure. The relation between normal stress and joint closure for mated and unmated joints was well described by the hyperbolic and exponential function, respectively. Joint shear deformability was studied by performing direct shear tests under normal stresses on the joints. it was shown that the behaviour in the prepeak range was non-linear and joint shear stiffness depended on the size of specimen and the normal stress.

  • PDF