• Title/Summary/Keyword: uncertainty propagation

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Are theoretically calculated periods of vibration for skeletal structures error-free?

  • Mehanny, Sameh S.F.
    • Earthquakes and Structures
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    • v.3 no.1
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    • pp.17-35
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    • 2012
  • Simplified equations for fundamental period of vibration of skeletal structures provided by most seismic design provisions suffer from the absence of any associated confidence levels and of any reference to their empirical basis. Therefore, such equations may typically give a sector of designers the false impression of yielding a fairly accurate value of the period of vibration. This paper, although not addressing simplified codes equations, introduces a set of mathematical equations utilizing the theory of error propagation and First-Order Second-Moment (FOSM) techniques to determine bounds on the relative error in theoretically calculated fundamental period of vibration of skeletal structures. In a complementary step, and for verification purposes, Monte Carlo simulation technique has been also applied. The latter, despite involving larger computational effort, is expected to provide more precise estimates than FOSM methods. Studies of parametric uncertainties applied to reinforced concrete frame bents - potentially idealized as SDOF systems - are conducted demonstrating the effect of randomness and uncertainty of various relevant properties, shaping both mass and stiffness, on the variance (i.e. relative error) in the estimated period of vibration. Correlation between mass and stiffness parameters - regarded as random variables - is also thoroughly discussed. According to achieved results, a relative error in the period of vibration in the order of 19% for new designs/constructions and of about 25% for existing structures for assessment purposes - and even climbing up to about 36% in some special applications and/or circumstances - is acknowledged when adopting estimates gathered from the literature for relative errors in the relevant random input variables.

Permeability Prediction of Rock Mass Using the Artifical Neural Networks (인공신경 망을 이용한 암반의 투수계수 예측)

  • Lee, In-Mo;Jo, Gye-Chun;Lee, Jeong-Hak
    • Geotechnical Engineering
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    • v.13 no.2
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    • pp.77-90
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    • 1997
  • A resonable and economical method which can predict permeability of rock mass in underground is needed to overcome the uncertainty of groundwater behavior. For this par pose, one prediction method of permeability has been studied. The artificial neural networks model using error back propagation algorithm, . one of the teaching techniques, is utilized for this purpose. In order to verify the applicability of this model, in-situ permeability results are simulated. The simulation results show the potentiality of utilizing the neural networks for effective permeability prediction of rock mass.

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A Study on Comparison between the Propagation of Uncertainty by GUM and Monte-Carlo Simulation (측정 불확도 표현 지침서(GUM)와 Monte-Carlo Simulation에 의한 불확도 전파 결과의 비교 연구)

  • Jungkee Shu;Hyungsik Min;Minsu Park;Jin-Chun Woo;Jongsang Kim
    • Journal of the Korean Chemical Society
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    • v.47 no.1
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    • pp.31-37
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    • 2003
  • The expanded uncertainties calculated by the application of GUM -approximation and Monte-Carlo simulation were compared about the model equation of one-point calibration which is widely used for the measurements and chemical analysis. For the comparisons, we assumed a set of artificial data at the various level of concentration and dispersion of t or normal distribution. Mistakes of more then 50 % was revealed at the values calculated by GUM-approximation in comparison with those of Monte-Carlo simulation because of the excess dispersion from t-distribution and non-linearity by division in the equation. In contrary, the mistake of calculation due to non-linearity of the equation was not observed in the level of detection limits with the equation of one-point calibration, because of the relatively large values of uncertainty in response.

Development of a software framework for sequential data assimilation and its applications in Japan

  • Noh, Seong-Jin;Tachikawa, Yasuto;Shiiba, Michiharu;Kim, Sun-Min;Yorozu, Kazuaki
    • Proceedings of the Korea Water Resources Association Conference
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    • 2012.05a
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    • pp.39-39
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    • 2012
  • Data assimilation techniques have received growing attention due to their capability to improve prediction in various areas. Despite of their potentials, applicable software frameworks to probabilistic approaches and data assimilation are still limited because the most of hydrologic modelling software are based on a deterministic approach. In this study, we developed a hydrological modelling framework for sequential data assimilation, namely MPI-OHyMoS. MPI-OHyMoS allows user to develop his/her own element models and to easily build a total simulation system model for hydrological simulations. Unlike process-based modelling framework, this software framework benefits from its object-oriented feature to flexibly represent hydrological processes without any change of the main library. In this software framework, sequential data assimilation based on the particle filters is available for any hydrologic models considering various sources of uncertainty originated from input forcing, parameters and observations. The particle filters are a Bayesian learning process in which the propagation of all uncertainties is carried out by a suitable selection of randomly generated particles without any assumptions about the nature of the distributions. In MPI-OHyMoS, ensemble simulations are parallelized, which can take advantage of high performance computing (HPC) system. We applied this software framework for several catchments in Japan using a distributed hydrologic model. Uncertainty of model parameters and radar rainfall estimates is assessed simultaneously in sequential data assimilation.

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Error analysis of 3-D surface parameters from space encoding range imaging (공간 부호화 레인지 센서를 이용한 3차원 표면 파라미터의 에러분석에 관한 연구)

  • 정흥상;권인소;조태훈
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.375-378
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    • 1997
  • This research deals with a problem of reconstructing 3D surface structures from their 2D projections, which is an important research topic in computer vision. In order to provide robust reconstruction algorithm, that is reliable even in the presence of uncertainty in the range images, we first present a detailed model and analysis of several error sources and their effects on measuring three-dimensional surface properties using the space encoded range imaging technique. Our approach has two key elements. The first is the error modeling for the space encoding range sensor and its propagation to the 3D surface reconstruction problem. The second key element in our approach is the algorithm for removing outliers in the range image. Such analyses, to our knowledge, have never attempted before. Experimental results show that our approach is significantly reliable.

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Robust Kalman Filtering with Perturbation Estimation Process-for Uncertain Systems (섭동 추정 프로세스를 이용한 불확실 시스템에 대한 강인 칼만 필터링 기법)

  • Kwon Sang-Joo
    • Journal of Institute of Control, Robotics and Systems
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    • v.12 no.3
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    • pp.201-207
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    • 2006
  • A robust Kalman filtering method for uncertain stochastic systems is suggested by adopting a perturbation estimation process which is to reconstruct total uncertainty with respect to the nominal state transition equation. The predictor and corrector of discrete Kalman filter are reformulated with the perturbation estimator. Successively, the state and perturbation estimation error dynamics and the corresponding error covariance propagation equations are derived as well. Finally we have the recursive algorithm of Combined Kalman Filter-Perturbation Estimator (CKF). The proposed combined Kalman filter-perturbation estimator has the property of integrating innovations and the adaptation capability to system uncertainties. A numerical example is shown to demonstrate the effectiveness of the proposed scheme.

Compensation of robot manipulator uncertainties using back propagation neural network (역전파 신경회로망에 의한 로봇 팔의 불확실성 보상)

  • Lee, Sang-Jae;Lee, Seok-Won;Nam, Boo-Hee
    • Journal of Institute of Control, Robotics and Systems
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    • v.2 no.4
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    • pp.312-317
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    • 1996
  • This paper proposes a neural network controller with the computed torque method. The neural network is used not to learn the inverse dynamic model but to compensate the uncertainties of robotic manipulators. When training the neural network, we use the signals present in the proposed controller, which is simpler than that proposed by Ishiguro et al., whose teaching signals of the neural network come from the robot model.

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Development of Influence Diagram Based Knowledge Base in Probabilistic Reasoning (인플루언스 다이아그램을 기초로 한 이상진단 지식베이스의 개발)

  • 김영진
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.12
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    • pp.3124-3134
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    • 1993
  • Diagnosis is composed of two different but interrelated steps ; retrieving the sensory responses f the system and reasoning the state of the system through the given sensor data. This paper explains the probabilistic nature of reasoning involved in the diagnosis when the uncertainties are inevitably included in experts' diagnostic decision making. Uncertainties in decision making are experts' personal experiences, preferences, and system's coherent characteristics. In order to ensure a consistent decision based on the same responses from the system, expert system technology is adopted with the Bayesian reasoning scheme.

Crack source location by acoustic emission monitoring method in RC strips during in-situ load test

  • Shokri, Tala;Nanni, Antonio
    • Smart Structures and Systems
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    • v.13 no.1
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    • pp.155-171
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    • 2014
  • Various monitoring techniques are now available for structural health monitoring and Acoustic Emission (AE) is one of them. One of the major advantages of the AE technique is its capability to locate active cracks in structural members. AE crack locating approaches are affected by the signal attenuation and dispersion of elastic waves due to inhomogeneity and geometry of reinforced concrete (RC) members. In this paper, a novel technique is described based on signal processing and sensor arrangement to process multisensory AE data generated by the onset and propagation of cracks and is validated with experimental results from an in-situ load test. Considering the sources of uncertainty in the AE crack location process, a methodology is proposed to capture and locate events generated by cracks. In particular, the relationship between AE events and load is analyzed, and the feasibility of using the AE technique to evaluate the cracking behavior of two RC slab strips during loading to failure is studied.

Design of a sliding Mode Controller Using a Neural Compensator (신경회로망 보상기를 이용하는 슬라이딩 모드 제어기 설계)

  • Lee, Min-Ho;Jung, Soon-Ki
    • Journal of Institute of Control, Robotics and Systems
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    • v.6 no.3
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    • pp.256-262
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    • 2000
  • This paper proposes a new sliding mode controller combined with a multi-layer neural network using the error back propagation learning algorithm,, The network acts as a compensator of the conventional sliding mode controller to improve the control performance when initial assumptions of uncertainty bounds of system parameters are violated. The proposed controller can reduce th steady state error of conventional sliding mode controller with the boundary layer technique Computer simulation results show that the proposed method is effective to control dynamic systems with unexpectably large uncertainties.

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