• Title/Summary/Keyword: Bayesian Update

Search Result 65, Processing Time 0.024 seconds

Bayesian model update for damage detection of a steel plate girder bridge

  • Xin Zhou;Feng-Liang Zhang;Yoshinao Goi;Chul-Woo Kim
    • Smart Structures and Systems
    • /
    • v.31 no.1
    • /
    • pp.29-43
    • /
    • 2023
  • This study investigates the possibility of damage detection of a real bridge by means of a modal parameter-based finite element (FE) model update. Field moving vehicle experiments were conducted on an actual steel plate girder bridge. In the damage experiment, cracks were applied to the bridge to simulate damage states. A fast Bayesian FFT method was employed to identify and quantify uncertainties of the modal parameters then these modal parameters were used in the Bayesian model update. Material properties and boundary conditions are taken as uncertainties and updated in the model update process. Observations showed that although some differences existed in the results obtained from different model classes, the discrepancy between modal parameters of the FE model and those experimentally obtained was reduced after the model update process, and the updated parameters in the numerical model were indeed affected by the damage. The importance of boundary conditions in the model updating process is also observed. The capability of the MCMC model update method for application to the actual bridge structure is assessed, and the limitation of FE model update in damage detection of bridges using only modal parameters is observed.

Bayesian updated correlation length of spatial concrete properties using limited data

  • Criel, Pieterjan;Caspeele, Robby;Taerwe, Luc
    • Computers and Concrete
    • /
    • v.13 no.5
    • /
    • pp.659-677
    • /
    • 2014
  • A Bayesian response surface updating procedure is applied in order to update the parameters of the covariance function of a random field for concrete properties based on a limited number of available measurements. Formulas as well as a numerical algorithm are presented in order to update the parameters of response surfaces using Markov Chain Monte Carlo simulations. The parameters of the covariance function are often based on some kind of expert judgment due the lack of sufficient measurement data. However, a Bayesian updating technique enables to estimate the parameters of the covariance function more rigorously and with less ambiguity. Prior information can be incorporated in the form of vague or informative priors. The proposed estimation procedure is evaluated through numerical simulations and compared to the commonly used least square method.

Fuzzy Theory and Bayesian Update-Based Traffic Prediction and Optimal Path Planning for Car Navigation System using Historical Driving Information (퍼지이론과 베이지안 갱신 기반의 과거 주행정보를 이용한 차량항법 장치의 교통상황 예측과 최적경로 계획)

  • Jung, Sang-Jun;Heo, Yong-Kwan;Jo, Han-Moo;Kim, Jong-Jin;Choi, Sul-Gi
    • Journal of the Korea Society of Computer and Information
    • /
    • v.14 no.11
    • /
    • pp.159-167
    • /
    • 2009
  • The vehicles play a significant role in modern people's life as economy grows. The development of car navigation system(CNS) provides various convenience because it shows the driver where they are and how to get to the destination from the point of source. However, the existing map-based CNS does not consider any environments such as traffic congestion. Given the same starting point and destination, the system always provides the same route and the required time. This paper proposes a path planning method with traffic prediction by applying historical driving information to the Fuzzy theory and Bayesian update. Fuzzy theory classifies the historical driving information into groups of leaving time and speed rate, and the traffic condition of each time zone is calculated by Bayesian update. An ellipse area including starting and destination points is restricted in order to reduce the calculation time. The accuracy and practicality of the proposed scheme are verified by several experiments and comparisons with real navigation.

SHM-based probabilistic representation of wind properties: Bayesian inference and model optimization

  • Ye, X.W.;Yuan, L.;Xi, P.S.;Liu, H.
    • Smart Structures and Systems
    • /
    • v.21 no.5
    • /
    • pp.601-609
    • /
    • 2018
  • The estimated probabilistic model of wind data based on the conventional approach may have high discrepancy compared with the true distribution because of the uncertainty caused by the instrument error and limited monitoring data. A sequential quadratic programming (SQP) algorithm-based finite mixture modeling method has been developed in the companion paper and is conducted to formulate the joint probability density function (PDF) of wind speed and direction using the wind monitoring data of the investigated bridge. The established bivariate model of wind speed and direction only represents the features of available wind monitoring data. To characterize the stochastic properties of the wind parameters with the subsequent wind monitoring data, in this study, Bayesian inference approach considering the uncertainty is proposed to update the wind parameters in the bivariate probabilistic model. The slice sampling algorithm of Markov chain Monte Carlo (MCMC) method is applied to establish the multi-dimensional and complex posterior distribution which is analytically intractable. The numerical simulation examples for univariate and bivariate models are carried out to verify the effectiveness of the proposed method. In addition, the proposed Bayesian inference approach is used to update and optimize the parameters in the bivariate model using the wind monitoring data from the investigated bridge. The results indicate that the proposed Bayesian inference approach is feasible and can be employed to predict the bivariate distribution of wind speed and direction with limited monitoring data.

A Bayesian Approach to PM Model with Random Maintenance Quality

  • Jung, Ki-Mun
    • Journal of the Korean Data and Information Science Society
    • /
    • v.18 no.3
    • /
    • pp.689-696
    • /
    • 2007
  • This paper considers a Bayesian approach to determine an optimal PM policy with random maintenance quality. Thus, we assume that the quality of a PM action is a random variable following a probability distribution. When the failure time is Weibull distribution with uncertain parameters, a Bayesian approach is established to formally express and update the uncertain parameters for determining an optimal PM policy. Finally, the numerical examples are presented for illustrative purpose.

  • PDF

Nonlinear Bearing Only Target Tracking Filter (방위각 정보만을 이용한 비선형 표적추적필터)

  • Yoon, Jangho
    • Journal of Aerospace System Engineering
    • /
    • v.10 no.1
    • /
    • pp.8-14
    • /
    • 2016
  • The optimal estimation of a bearing only target tracking problem be achieved through the solution of the Fokker-Planck equation and the Bayesian update. Recently, a nonlinear filtering algorithm using a direct quadrature method of moments in which the associated Fokker-Planck equation can be propagated efficiently and accurately was proposed. Although this approach has demonstrated its promising in the field of nonlinear filtering in several examples, the "degeneracy" phenomenon, similar to that which exists in a typical particle filter, occasionally appears because only the weights are updated in the modified Bayesian rule in this algorithm. Therefore, in this paper to enhance the performance, a more stable measurement update process based upon the update equation in the Extended Kalman filters and a more accurate initialization and re-sampling strategy for weight and abscissas are proposed. Simulations are used to show the effectiveness of the proposed filter and the obtained results are promising.

Study on Nonlinear Filter Using Unscented Transformation Update (무향변환을 이용한 비선형 필터에 대한 연구)

  • Yoon, Jangho
    • Journal of Aerospace System Engineering
    • /
    • v.10 no.1
    • /
    • pp.15-20
    • /
    • 2016
  • The optimal estimation of a general continuous-discrete system can be achieved through the solution of the Fokker-Planck equation and the Bayesian update. Due the high nonlinearity of the equation of motion of the system and the measurement model, it is necessary to linearize the both equation. To avoid linearization, the filter based on Fokker-Planck equation is designed. with the unscented transformation update mechanism, in which the associated Fokker-Planck equation was solved efficiently and accurately via discrete quadrature and the measurement update was done through the unscented transformation update mechanism. This filter based on the Direct Quadrature Moment of Method(DQMOM) and the unscented transformation update is applied to the bearing only target tracking problem. The proposed filter can still provide more accurate estimation of the state than those of the extended Kalman filter especially when measurements are sparse. Simulation results indicate that the advantages of the proposed filter based on the DQMOM and the unscented transformation update make it a promising alternative to the extended Kalman filter.

Bayesian Method for Sequential Preventive Maintenance Policy

  • Kim Hee Soo;Kwon Young Sub;Park Dong Ho
    • Proceedings of the Korean Reliability Society Conference
    • /
    • 2005.06a
    • /
    • pp.131-137
    • /
    • 2005
  • In this paper, we propose a Bayesian approach to determine the adaptive preventive maintenance(PM) policy for a general sequential imperfect PM model proposed by Lin, Zuo and Yam(2000) that PM not only reduces the effective age of the system but also changes the hazard rate function. Assuming that the failure times follow Weibull distribution, we adopt a Bayesian approach to update unknown parameters and determine the Bayesian optimal sequential PM policies. Finally, numerical examples of the optimal adaptive PM policy are presented for illustrative purposes.

  • PDF

Underwater Acoustic Source Localization based on the Probabilistic Estimation of Direction Angle (확률적 방향각 추정에 기반한 수중 음원의 위치 인식 기법)

  • Choi, Jinwoo;Choi, Hyun-Taek
    • The Journal of Korea Robotics Society
    • /
    • v.9 no.4
    • /
    • pp.206-215
    • /
    • 2014
  • Acoustic signal is crucial for the autonomous navigation of underwater vehicles. For this purpose, this paper presents a method of acoustic source localization. The proposed method is based on the probabilistic estimation of time delay of acoustic signals received by two hydrophones. Using Bayesian update process, the proposed method can provide reliable estimation of direction angle of the acoustic source. The acquired direction information is used to estimate the location of the acoustic source. By accumulating direction information from various vehicle locations, the acoustic source localization is achieved using extended Kalman filter. The proposed method can provide a reliable estimation of the direction and location of the acoustic source, even under for a noisy acoustic signal. Experimental results demonstrate the performance of the proposed acoustic source localization method in a real sea environment.

An Improved Map Construction for Mobile Robot Using Fuzzy Logic and Genetic Algorithm (퍼지 논리와 진화알고리즘을 이용한 자율이동로봇의 향상된 지도 작성)

  • Jin Kwang-Sik;Ahn Ho-Gyun;Yoon Tae-Sung
    • Journal of the Korean Institute of Intelligent Systems
    • /
    • v.15 no.3
    • /
    • pp.330-336
    • /
    • 2005
  • Existing Bayesian update method using ultrasonic sensors only for mobile robot map building has a problem of the quality of map being degraded in the wall with irregularity, which is caused by the wide beam distribution. For improving this problem, an infrared sensors aided map building method is presented in this paper. Information of obstacle at each region in ultrasonic sensor beam is acquired using the infrared sensors and the information is used to get the confidence of ultrasonic sensor information via fuzzy inference system and genetic algorithm. Combining the resulting confidence with the result of Bayesian update method, an improve map is constructed. The proposed method showed good results in the simulations and experiments.