• Title/Summary/Keyword: inverse estimation method

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Estimation of Structural Damages by Inverse Modal Perturbation Method (구조물 손상의 추정을 위한 Inverse Modal Perturbation 기법)

  • Min, Jin Ki;Kim, Hyeong Ki;Hong, Kyu Seon;Yun, Chung Bang
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.10 no.4
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    • pp.35-42
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    • 1990
  • A method for the damage assessment of a structure by an inverse modal perturbation technique is studied. The first few natural frequencies and mode shapes of the damaged structure are assumed to be known. Then, the perturbation equation is formulated for the changes of the modal properties due to the stiffness changes. The stiffness changes due to damages are evaluated, using optimization techniques. Example analyses are carried out for several cases of stick models and a truss model. Results indicate that the present method yields very reasonable estimates for the element stiffness changes.

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Inverse Estimation of Surface Temperature Using the RBF Network (RBF Network 를 이용한 표면온도 역추정에 관한 연구)

  • Jung, Bup-Sung;Lee, Woo-Il
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.1183-1188
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    • 2004
  • The inverse heat conduction problem (IHCP) is a problem of estimating boundary condition from temperature measurement at one or more interior points. Neural networks are general information processing systems inspired by the connectionist theory of human brain. By properly training the network by the learning rule, the neural network method can handle many non-linear or other complex problems. In this work, neural network is applied to complicated inverse heat conduction problems. Efficiency of the procedure is enhanced by incorporating the radial basis functions (RBF). The RBF is trained faster than other neural network and can find smooth solution. In order to demonstrate the effectiveness of the current scheme, a typical one-dimensional IHCP is considered. At one surface, the temperature as well as the heat flux is known. The unknown temperature of interest is estimated on the other side of the slab. The results from the proposed method based on RBF neural network are compared with the conventional method.

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Application of inverse reliability method to estimation of cable safety factors of long span suspension bridges

  • Cheng, Jin;Xiao, Ru-Cheng
    • Structural Engineering and Mechanics
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    • v.23 no.2
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    • pp.195-207
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    • 2006
  • An efficient and accurate algorithm is proposed to estimate cable safety factor of suspension bridges satisfying prescribed reliability levels. Uncertainties in the structure and load parameters are incorporated. The proposed algorithm integrates the concepts of the inverse reliability method and deterministic method for assessing cable safety factors of suspension bridges. The unique feature of the proposed method is that it offers a tool for cable safety assessment of suspension bridges, when the reliability level is specified as a target to be satisfied by the designer. After the accuracy and efficiency of the method are demonstrated through two numerical examples, the method is used to estimate cable safety factors of suspension bridges with span length ranging from 2000 to 5000 m. The results show that the deterministic method overestimates cable safety factor of suspension bridges because of neglecting the parameter uncertainty effects. The actual cable safety factor of suspension bridges should be estimated based on the proposed method.

An Inverse Analysis of Two-Dimensional Heat Conduction Problem Using Regular and Modified Conjugate Gradient Method (표준공액구배법과 수정공액구배법을 이용한 2차원 열전도 문제의 역해석)

  • Choi, Eui-Rak;Kim, Woo-Seung
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.22 no.12
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    • pp.1715-1725
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    • 1998
  • A two-dimensional transient inverse heat conduction problem involving the estimation of the unknown location, ($X^*$, $Y^*$), and timewise varying unknown strength, $G({\tau})$, of a line heat source embedded inside a rectangular bar with insulated boundaries has been solved simultaneously. The regular conjugate gradient method, RCGM and the modified conjugate gradient method, MCGM with adjoint equation, are used alternately to estimate the unknown strength $G({\tau})$ of the source term, while the parameter estimation approach is used to estimate the unknown location ($X^*$, $Y^*$) of the line heat source. The alternate use of the regular and the modified conjugate gradient methods alleviates the convergence difficulties encountered at the initial and final times (i.e ${\tau}=0$ and ${\tau}={\tau}_f$), hence stabilizes the computation and fastens the convergence of the solution. In order to examine the effectiveness of this approach under severe test conditions, the unknown strength $G({\tau})$ is chosen in the form of rectangular, triangular and sinusoidal functions.

New generalized inverse Weibull distribution for lifetime modeling

  • Khan, Muhammad Shuaib;King, Robert
    • Communications for Statistical Applications and Methods
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    • v.23 no.2
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    • pp.147-161
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    • 2016
  • This paper introduces the four parameter new generalized inverse Weibull distribution and investigates the potential usefulness of this model with application to reliability data from engineering studies. The new extended model has upside-down hazard rate function and provides an alternative to existing lifetime distributions. Various structural properties of the new distribution are derived that include explicit expressions for the moments, moment generating function, quantile function and the moments of order statistics. The estimation of model parameters are performed by the method of maximum likelihood and evaluate the performance of maximum likelihood estimation using simulation.

Improvement of Estimation Accuracy of Thermal Deformation on Machine Tool by Inverse method (역해법에 의한 공작기계의 열변형 예측정도의 향상)

  • Lee, Jong-Du
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.2
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    • pp.126-131
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    • 2001
  • One of the major obstacles in testing or evaluating precisely the thermal behavior of a machine tool is the difficulty in measuring the heat transfer coefficients on the surfaces by a conventional method. This paper presents a new approach based on the inverse method to identify the values of heat transfer coefficients by using temperature changes measured on the surfaces of a machine tool during a short period in its operating. In the present method, a machine tool structure is modeled by the finite element method and the characteristic curves of the temperature change at several points on machine tool surfaces are theoretically derived in the form that they contain the heat transfer coefficient as an unfixed heat source are approximated so that the theoretical characteristic curves of temperature change fit the measured ones as closely as possible.

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Application of inverse reliability method to estimation of flutter safety factors of suspension bridges

  • Cheng, Jin;Dong, Fenghui
    • Wind and Structures
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    • v.24 no.3
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    • pp.249-265
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    • 2017
  • An efficient and accurate algorithm is proposed to estimate flutter safety factor of suspension bridges satisfying prescribed reliability levels. Uncertainties which arise from the basic wind speed at the bridge deck location, critical flutter velocity, the wind conversion factor from a scaled model to the prototype structure and the gust speed factor are incorporated. The proposed algorithm integrates the concepts of the inverse reliability method and the calculation method of the critical flutter velocity of suspension bridges. The unique feature of the proposed method is that it offers a tool for flutter safety assessment of suspension bridges, when the reliability level is specified as a target to be satisfied by the designer. Accuracy and efficiency of this method with reference to three example suspension bridges is studied and numerical results validate its superiority over conventional deterministic method. Finally, the effects of various parameters on the flutter safety factor of suspension bridges are also investigated.

Estimation of Thermal Conductivity and Diffusivity by an Inverse Analysis (역해석에 의한 열전도율 및 확산율 예측)

  • Na, Jae-Jeong;Lee, Jung-Min;Kang, Kyung-Taik
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2012.05a
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    • pp.397-402
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    • 2012
  • The objective of this study is the estimation of the two unknown thermal conductivity and thermal diffusivity by an inverse heat conduction analysis using the Levenberg-Marguardt method. One dimensional formulation of heat conduction problem in the model was applied. Two point transient temperature of test pieces and heat flux of inflow were measured under the high enthalpy flow environment. Estimated thermal conductivity and thermal diffusivity by an inverse analysis were compared with the known values of graphite test piece. It showed the effectiveness of proposed experimental inverse analysis.

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A Study on the Inverse Radiation Analysis in a Cylindrical Enclosure (원통형상에서의 역복사 해석에 관한 연구)

  • Kim, Ki-Wan;Baek, Seung-Wook;Ryou, Hong-Sun
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.1516-1521
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    • 2004
  • An inverse boundary analysis of surface radiation in an axisymmetric cylindrical enclosure has been conducted in this study. Net energy exchange method was used to calculate the radiative heat flux on each surface, and a hybrid genetic algorithm was adopted to minimize an objective function, which is expressed by sum of square errors between estimated and measured heat fluxes on the design surface. We have examined the effects of the measurement error as well as the number of measurement points on the estimation accuracy.

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Accelerated Lifetime Data Analysis Using Quantile Regression (분위수 회귀를 이용한 가속수명시험 자료 분석)

  • Roh, Chee-Youn;Kim, Hee-Jeong;Na, Myung-Hwan
    • The Korean Journal of Applied Statistics
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    • v.21 no.4
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    • pp.631-638
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    • 2008
  • Accelerated Lifetime Test is a method of estimation of lifetime quality characteristics under operation condition with the accelerated lifetime data obtained under accelerated stress. In this paper we propose estimation method with accelerated lifetime data using quantile regression. We apply the method to real data with Arrhenius and Inverse power model.