• Title/Summary/Keyword: Uncertainty propagation

Search Result 150, Processing Time 0.034 seconds

Probabilistic estimation of fully coupled blasting pressure transmitted to rock mass I - Estimation of peak blasting pressure - (암반에 전달된 밀장전 발파압력의 확률론적 예측 I - 최대 발파압력 예측을 중심으로 -)

  • Park, Bong-Ki;Lee, In-Mo;Kim, Dong-Hyun
    • Journal of Korean Tunnelling and Underground Space Association
    • /
    • v.5 no.4
    • /
    • pp.337-348
    • /
    • 2003
  • The propagation mechanism of a detonation pressure with fully coupled charge is clarified and the blasting pressure propagated in rock mass is derived from the application of shock wave theory. The blasting pressure was a function of detonation velocity, isentropic exponent, explosive density, Hugoniot parameters, and rock density. Probabilistic distribution is obtained by using explosion tests on emulsion and rock property tests on granite in Seoul and then the probabilistic distribution of the blasting pressure is derived from the above mentioned properties. The probabilistic distributions of explosive properties and rock properties show a normal distribution so that the blasting pressure propagated in rock can be also regarded as a normal distribution. Parametric analysis was performed to pinpoint the most influential parameter that affects the blasting pressure and it was found that the detonation velocity is the most sensitive parameter. Moreover, uncertainty analysis was performed to figure out the effect of each parameter uncertainty on the uncertainty of blasting pressure. Its result showed that uncertainty of natural rock properties constitutes the main portion of blasting pressure uncertainty rather than that of explosive properties. In other words, since rock property uncertainty is much larger than detonation velocity uncertainty the blasting pressure uncertainty is more influenced by the former than by the latter even though the detonation velocity is found to be the most influencing parameter on the blasting pressure.

  • PDF

Development and Implementation of the Analysis Frame for Measurement Activity in Undergraduate Physics Laboratory (대학생들의 물리실험에서 측정 활동 분석틀 개발 및 적용)

  • Shin, Kwang-Moon;Kang, Young-Chang;Lee, Sung-Muk;Lee, Jae-Bong
    • Journal of The Korean Association For Science Education
    • /
    • v.31 no.1
    • /
    • pp.115-127
    • /
    • 2011
  • Analysis frame for undergraduate physics laboratory reports in collecting, processing, and analyzing data was developed. Using the frame and questionaries, we analyzed what difficulties students have in the concepts of error and uncertainty in writing laboratory reports. Students considered repetitive measurement for collecting data, but they didn't express it distinctly in their reports. They also had difficulties in measuring data around the extreme value or the large slope. Especially, most students have had difficulties with error and uncertainty. They can't apply the basic formulation to propagation of error and uncertainty. They also had the difficulties in analyzing data with concepts of error and uncertainty. While most students responded that error and uncertainty is important, there were few students who analyzed the influence of the cause of error on the results quantitatively. The result of the study showed that students have difficulties in writing the laboratory reports because they didn't have the correct concept of the error and uncertainty. So, it is needed to not only teach the physics concept about experiment but to teach basic concept of data collecting, processing, and analyzing specially about error and uncertainty for students as well.

Standard Measurement Procedure for Soil Radon Exhalation Rate and Its Uncertainty

  • Seo, Jihye;Nirwono, Muttaqin Margo;Park, Seong Jin;Lee, Sang Hoon
    • Journal of Radiation Protection and Research
    • /
    • v.43 no.1
    • /
    • pp.29-38
    • /
    • 2018
  • Background: Radon contributing about 42% of annual average dose, mainly comes from soil. In this paper, standard measurement procedures for soil radon exhalation rate are suggested and their measurement uncertainties are analyzed. Materials and Methods: We used accumulation method for estimating surface exhalation rate. The closed-loop measurement system was made up with a RAD7 detector and a surface chamber. Radon activity concentrations in the system were observed as a function of time, with data collection of 5 and 15-minute and the measurement time of 4 hours. Linear and exponential fittings were used to obtain radon exhalation rates from observed data. Standard deviations of measurement uncertainties for two approaches were estimated using usual propagation rules. Results and Discussion: The exhalation rates (E) from linear approach, with 30 minutes measurement time were $44.8-48.6mBq{\cdot}m^{-2} {\cdot}s^{-1}$ or $2.14-2.32atom{\cdot}cm^{-2}{\cdot}s^{-1}$ with relative measurement uncertainty of about 10%. The contributions of fitting parameter A, volume (V) and surface (S) to the estimated measurement uncertainty of E were 59.8%, 30.1% and 10.1%, in average respectively. In exponential fitting, at 3-hour measurement we had E ranged of $51.6-69.2mBq{\cdot}m^{-2} {\cdot}s^{-1}$ or $2.46-3.30atom{\cdot}cm^{-2}{\cdot}s^{-1}$ with about 15% relative uncertainty. Fitting with 4-hour measurement resulted E about $51.3-68.2mBq{\cdot}m^{-2} {\cdot}s^{-1}$ or $2.45-3.25atom{\cdot}cm^{-2}{\cdot}s^{-1}$ with 10% relative uncertainty. The uncertainty contributions in exponential approach were 75.1%, 13.4%, 8.7%, and 2.9% for total decay constant k, fitting parameter B, V, and S, respectively. Conclusion: In obtaining exhalation rates, the linear approach is easy to apply, but by saturation feature of radon concentrations, the slope tends to decrease away from the expected slope for extended measurement time. For linear approach, measurement time of 1-hour or less was suggested. For exponential approach, the obtained exhalation rates showed similar values for any measurement time, but measurement time of 3-hour or more was suggested for about 10% relative uncertainty.

A Study of Probabilistic Groundwater Flow Modeling Considering the Uncertainty of Hydraulic Conductivity (수리전도도의 불확실성을 고려한 확률론적 지하수 유동해석에 관한 연구)

  • Ryu Dong-Woo;Son Bong-Ki;Song Won-Kyong;Joo Kwang-Soo
    • Tunnel and Underground Space
    • /
    • v.15 no.2 s.55
    • /
    • pp.145-156
    • /
    • 2005
  • MODFLOW, 3-D finite difference code, is widely used to model groundwater flow and has been used to assess the effect of excavations on the groundwater system due to construction of subways and mountain tunnels. The results of numerical analysis depend on boundary conditions, initial conditions, conceptual models and hydrogeological properties. Therefore, its accuracy can only be enhanced using more realistic and field oriented input parameters. In this study, SA(simulated annealing) was used to integrate hydraulic conductivities from a few of injection tests with geophysical reference images. The realizations of hydraulic conductivity random field are obtained and then groundwater flows in each geostatistically equivalent media are analyzed with a numerical simulation. This approach can give probabilistic results of groundwater flow modeling considering the uncertainty of hydrogeological medium. In other words, this approach makes it possible to quantify the propagation of uncertainty of hydraulic conductivities into groundwater flow.

A Comparative Study on the Crack Propagation Characteristics According to the Pre-Notch Shapes of Fatigue Indicator Sensor (Fatigue Indicator Sensor의 형상에 따른 균열진전 특성의 비교 연구)

  • Kim, Jae-Hyun;Kim, Seul-Ki;Cho, Young-Gun;Yeo, Seung-Hoon;Kim, Kyung-Su;Kim, Sung-Chan;Lee, Jang-Hyun
    • Journal of the Society of Naval Architects of Korea
    • /
    • v.47 no.4
    • /
    • pp.565-572
    • /
    • 2010
  • It is difficult to predict the accurate fatigue life of the ship structure because of load uncertainty and load redistribution at the ship structure members. As one of studies for accurate evaluation and prediction of fatigue life, it is a promising way to detect the crack previously by attaching the Fatigue Indicator Sensor (FIS) at the crack prediction region. In order to predict the fatigue life of the ship structure by using FIS, it is required to know previously the crack propagation characteristics according to pre-notch shapes. In this study, we obtained the stress distribution phase, stress concentration factors and stress intensity factor of various pre-notch shapes through FEA. Additionally, we conducted the fatigue test and obtained the characteristics of crack propagation according to the pre-notch shapes through comparison between the fatigue test and the FEA. Consequently, we classified the pre-notch shape into 3 categories: Long, Medium, and Short life type. On the basis of the numerical and experimental results, the FIS can be developed.

Comparison of ISO-GUM and Monte Carlo Method for Evaluation of Measurement Uncertainty (몬테카를로 방법과 ISO-GUM 방법의 불확도 평가 결과 비교)

  • Ha, Young-Cheol;Her, Jae-Young;Lee, Seung-Jun;Lee, Kang-Jin
    • Transactions of the Korean Society of Mechanical Engineers B
    • /
    • v.38 no.7
    • /
    • pp.647-656
    • /
    • 2014
  • To supplement the ISO-GUM method for the evaluation of measurement uncertainty, a simulation program using the Monte Carlo method (MCM) was developed, and the MCM and GUM methods were compared. The results are as follows: (1) Even under a non-normal probability distribution of the measurand, MCM provides an accurate coverage interval; (2) Even if a probability distribution that emerged from combining a few non-normal distributions looks as normal, there are cases in which the actual distribution is not normal and the non-normality can be determined by the probability distribution of the combined variance; and (3) If type-A standard uncertainties are involved in the evaluation of measurement uncertainty, GUM generally offers an under-valued coverage interval. However, this problem can be solved by the Bayesian evaluation of type-A standard uncertainty. In this case, the effective degree of freedom for the combined variance is not required in the evaluation of expanded uncertainty, and the appropriate coverage factor for 95% level of confidence was determined to be 1.96.

Variability Analysis of Dynamic Characteristics in Rubber Engine Mounts Considering Temperature Variation (온도변화를 고려한 고무엔진마운트의 동특성 변동성 해석)

  • Hwang, In Seong;Ahn, Tae Soo;Lee, Dooho
    • Transactions of the Korean Society for Noise and Vibration Engineering
    • /
    • v.23 no.6
    • /
    • pp.553-562
    • /
    • 2013
  • Vehicle vibrations arise from engine and road surface excitations. The engine mount system of a passenger car sustains the engine weight and insulates the excitation force from the engine system. The dynamic properties of viscoelastic material used for the vehicle engine mounts have large variation due to environmental factors such as environmental temperature and humidity etc. The present study aims to investigate the variability of dynamic characteristics in rubber engine mounts considering both environmental temperature change and material model errors/uncertainty. The engine mounts for a passenger car were modeled using finite element method. Then, the dynamic stiffness variability of the engine mounts were estimated using Monte Carlo simulation method. In order to estimate the variations in the storage and loss moduli of the viscoelastic materials, the material properties of the synthetic rubber were expressed as a fractional-derivative model. Next, in order to simulate the uncertainty propagation of the dynamic stiffness for the engine mounts due to the storage and loss moduli variations, the Monte Carlo simulation was used. The Monte Carlo simulation results showed large variation of the engine-mount stiffness along frequency axis.

Capacity of a transmission tower under downburst wind loading

  • Mara, T.G.;Hong, H.P.;Lee, C.S.;Ho, T.C.E.
    • Wind and Structures
    • /
    • v.22 no.1
    • /
    • pp.65-87
    • /
    • 2016
  • The wind velocity profile over the height of a structure in high intensity wind (HIW) events, such as downbursts, differs from that associated with atmospheric boundary layer (ABL) winds. Current design codes for lattice transmission structures contain only limited advice on the treatment of HIW effects, and structural design is carried out using wind load profiles and response factors derived for ABL winds. The present study assesses the load-deformation curve (capacity curve) of a transmission tower under modeled downburst wind loading, and compares it with that obtained for an ABL wind loading profile. The analysis considers nonlinear inelastic response under simulated downburst wind fields. The capacity curve is represented using the relationship between the base shear and the maximum tip displacement. The results indicate that the capacity curve remains relatively consistent between different downburst scenarios and an ABL loading profile. The use of the capacity curve avoids the difficulty associated with defining a reference wind speed and corresponding wind profile that are adequate and applicable for downburst and ABL winds, thereby allowing a direct comparison of response under synoptic and downburst events. Uncertainty propagation analysis is carried out to evaluate the tower capacity by considering the uncertainty in material properties and geometric variables. The results indicated the coefficient of variation of the tower capacity is small compared to those associated with extreme wind speeds.

Analysis of Rainfall-Sediment Yield-Runoff Prediction Uncertainty due to Propagation of Parameter Uncertainty (매개변수의 불확실성 전이에 따른 강우-유사-유출의 불확실성 분석)

  • Yu, Wan-Sik;Lee, Gi-Ha;Park, Chan-Hong;Lee, Bok-Hwan;Jung, Kwan-Sue
    • Proceedings of the Korea Water Resources Association Conference
    • /
    • 2011.05a
    • /
    • pp.282-286
    • /
    • 2011
  • 토양침식 및 유사유출로 인한 피해를 예방하고 대응방안을 수립하기 위해서는 침식의 발생원인과 규모에 대한 정량적 평가가 필요하다. 이를 위해서는 지속적인 계측에 의한 토양침식량 산정이 가장 바람직하지만 실질적으로 유역규모의 지속적인 모니터링은 불가능하므로 유역의 수문/지형/지질학적 특성을 고려한 수치모형을 사용하여 토양침식량 및 유사유출량을 산정하는 것이 일반적이다. 이러한 수치모형을 이용한 수문모의의 경우 모형의 구조, 모델링에 사용되는 자료, 매개변수 등에 포함된 다양한 불확실성 요인에 의해 계산결과에 상당한 불확실성을 포함하고 있다. 본 연구에서는 매개변수의 불확실성 전이에 따른 수문모의결과의 불확실성의 정량적인 평가를 위해 서로 다른 두가지 수문량(유출량, 유사유출량)을 제공하는 강우-유사-유출 모형을 선택하고, 다중최적화기법인 MOSCEM-UA을 이용하여 매개변수 상호작용에 의한 Pareto 최적해 군 및 균형최적해를 산정하고, 이에 따른 수문예측결과의 불확실성을 평가하였다.

  • PDF

The Effect of Annular Projection Collapse on Tolerance of ECV Assembly (링 프로젝션 돌기의 용입정도가 ECV 조립공차에 미치는 영향)

  • Chang, Hee-Seok;Won, Woong-Yeon;Choi, Duk-Jun;Kim, Jong-Ho;Kim, Jin-Sang;Nahm, Tak-Hyun;Kang, Hee-Jong
    • Journal of Welding and Joining
    • /
    • v.30 no.1
    • /
    • pp.78-84
    • /
    • 2012
  • Due to the inherent dimensional uncertainty, tolerances accumulate in the final assembly. Tolerance accumulation has serious effect on the performance of ECV assembly. This paper proposes a method of tolerance accumulation analysis using Monte Carlo simulation, which includes welding process in assemble process. This method can predict the final tolerance distributions of the completed assembly with the prescribed statistical tolerance distribution of each part to be assembled. With the inclusion of welding, another dimensional uncertainties due to partial melting is to be accounted as well. Partial melting of projection height was included in the tolerance propagation analysis. Verification of the proposed method was performed by making use of Monte Carlo simulation. Monte Carlo simulation results showed promising results in that we can predict the final tolerance distributions in advance before actual assembly process of precision machinery.