• Title/Summary/Keyword: Inverse Analysis Method

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Inverse Analysis Approach to Flow Stress Evaluation by Small Punch Test (소형펀치 시험과 역해석에 의한 재료의 유동응력 결정)

  • Cheon, Jin-Sik
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.7 s.178
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    • pp.1753-1762
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    • 2000
  • An inverse method is presented to obtain material's flow properties by using small punch test. This procedure employs, as the objective function of inverse analysis, the balance of measured load-di splacement response and calculated one during deformation. In order to guarantee convergence to global minimum, simulated annealing method was adopted to optimize the current objective function. In addition, artificial neural network was used to predict the load-displacement response under given material parameters which is the most time consuming and limits applications of global optimization methods to these kinds of problems. By implementing the simulated annealing for optimization along with calculating load-displacement curve by neural network, material parameters were identified irrespective of initial values within very short time for simulated test data. We also tested the present method for error-containing experimental data and showed that the flow properties of material were well predicted.

An Inverse Analysis on the Estimation of Two-dimensional Total Heat Exchange Factor on the Billet in the Reheating Furnace (가열로 내 소재의 2 차원 총괄열흡수율 추정에 관한 역해석)

  • Kwag, Dong-Seong;Kang, Deok-Hong;Kim, Ki-Hong;Kim, Woo-Seung
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.175-180
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    • 2003
  • An inverse problem to determine two-dimensional total heat exchange factor is studied for the prediction of the billet temperature in the reheating furnace. Temperature measurements by the experiment are used in the inverse analysis. This inverse analysis employs the conjugate gradient method. The total heat exchange factors for 12-zones of the cross-section of the billet are estimated. The estimated temperatures at measurement locations are in good agreements with the measured temperatures.

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An Inverse Analysis on the Estimation of Two-dimensional Overall Heat Absorptance on the Slab in the Reheating Furnace (가열로 내 소재의 2 차원 총괄열흡수율 추정에 관한 역해석)

  • Kang, Deok-Hong;Kwag, Dong-Seong;Kim, Woo-Seung
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.29 no.11 s.242
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    • pp.1257-1264
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    • 2005
  • An inverse problem to determine two-dimensional total heat exchange factor is studied for the prediction of the slab temperature in the reheating furnace. Temperature measurements by the experiment are used in the inverse analysis. This inverse analysis employs the conjugate gradient method. The overall heat absorptances for 12-zones of the cross-section of the slab are estimated. The estimated temperatures at measurement locations are in good agreements with the measured temperatures.

ON A FAST ITERATIVE METHOD FOR APPROXIMATE INVERSE OF MATRICES

  • Soleymani, Fazlollah
    • Communications of the Korean Mathematical Society
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    • v.28 no.2
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    • pp.407-418
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    • 2013
  • This paper studies a computational iterative method to find accurate approximations for the inverse of real or complex matrices. The analysis of convergence reveals that the method reaches seventh-order convergence. Numerical results including the comparison with different existing methods in the literature will also be considered to manifest its superiority in different types of problems.

A fast inverse kinematic analysis of industrial FANUC robot (산업용 FANUC robot의 빠른 역기구학에 관한 연구)

  • 박형준;전종욱;이쾌희
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10a
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    • pp.953-958
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    • 1992
  • This paper deals with the solution of inverse kinematics of the industrial FANUC robot with IBM PC386. The inverse kinematics of FANUC robot cannot be solved by the algebraical method, because arm matirix T$_{6}$ is very complex and 6-joint angles are associated with the position and the approach of end-effector. Instead we fuund otehr 5-joint angle by and algebraical method after finding .THETA.$_{1}$ value by a numerical method.d.

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A Study on Numerical Analysis of Equation of Motion for Constrained Systems (구속된 시스템 운동방정식의 수치해석에 관한 연구)

  • 은희창;정헌수
    • Journal of KSNVE
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    • v.7 no.5
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    • pp.773-780
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    • 1997
  • Using Generalized Inverse Method presented by Udwadia and Kalaba in 1992, we can obtain equations to exactly describe the motion of constrained systems. When the differential equations are numerically integrated by any numerical integration scheme, the numerical results are generally found to veer away from satisfying constraint equations. Thus, this paper deals with the numerical integration of the differential equations describing constrained systems. Based on Baumgarte method, we propose numerical methods for reducing the errors in the satisfaction of the constraints.

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Research on the Inverse Heat Conduction Problem for Thermal Analysis of a Large LPG Engine Piston (대형 LPG 엔진 피스톤의 온도 분포 해석을 위한 열전도 역문제에 관한 연구)

  • 이부윤;박철우;최경호
    • Journal of the Korean Society for Precision Engineering
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    • v.19 no.11
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    • pp.146-159
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    • 2002
  • An efficient method to predict the convection heat transfer coefficients on the top surface of the engine piston is proposed. The method is based on the inverse method of the thermal conduction problem and uses a numerical optimization technique. In the method, the heat transfer coefficients are numerically obtained so that the difference between analyzed temperatures from the finite element method and measured temperatures is minimized. The method can be effectively used to analyze the temperature distribution of engine pistons in case when application of prescribed-temperature boundary condition is not reasonable because of insufficient number of measured temperatures. A hollow sphere problem with an analytic solution is taken as a simple example and accuracy and efficiency is demonstrated. The method is applied to a practical large liquid petroleum gas(LPG) engine piston and the heat transfer coefficients on the top surface of the piston is successfully calculated. Resulting analyzed temperature favorably coincides with measured temperature.

A Study on the Error Analysis of the Numerical Solution using Inverse Method (역해석 기법을 이용한 수치해의 오차 분석 연구)

  • Yang, Sung-Wook;Lee, Sang-Chul
    • Journal of the Korean Society for Aviation and Aeronautics
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    • v.16 no.2
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    • pp.21-27
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    • 2008
  • An inverse method is introduced to construct the problem for the error analysis of the numerical solution of initial value problem. These problems constructed through this method have a known exact solution, even though analytical solutions are generally not obtainable. The process leading to the exact solution makes use of an initially available approximate numerical solution. A smooth interpolation of the approximate solution is forced to exactly satisfy the differential equation by analytically deriving a small forcing function to absorb all of the errors in the interpolated approximate solution. Using this special case exact solution, it is possible to investigate the relationship between global errors of a candidate numerical solution process and the associated tuning parameters for a given problem. Under the assumption that the original differential equation is well-posed with respect to the small perturbations, we thereby obtain valuable information about the optimal choice of the tuning parameters and the achievable accuracy of the numerical solution.

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A New Material Sensitivity Analysis for Electromagnetic Inverse Problems

  • Byun, Jin-Kyu;Lee, Hyang-Beom;Kim, Hyeong-Seok;Kim, Dong-Hun
    • Journal of Magnetics
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    • v.16 no.1
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    • pp.77-82
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    • 2011
  • This paper presents a new self-adjoint material sensitivity formulation for optimal designs and inverse problems in the high frequency domain. The proposed method is based on the continuum approach using the augmented Lagrangian method. Using the self-adjoint formulation, there is no need to solve the adjoint system additionally when the goal function is a function of the S-parameter. In addition, the algorithm is more general than most previous approaches because it is independent of specific analysis methods or gridding techniques, thereby enabling the use of commercial EM simulators and various custom solvers. For verification, the method was applied to the several numerical examples of dielectric material reconstruction problems in the high frequency domain, and the results were compared with those calculated using the conventional method.

Searching for the Steady State of Unstable Link Structures by using Reduced Dimension Technique (차원 저감화기법을 이용한 불안정 링크구조물의 안정경로 탐색)

  • Kim, Jae-Yeol
    • Journal of Korean Association for Spatial Structures
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    • v.4 no.1 s.11
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    • pp.39-48
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    • 2004
  • Generally, a structural system with large inextensional deformations, or in other words, non-strained deformation is called as 'Unstable Structure', Truss-linked structures, cable structures, membrane structures and movable structures as foldable space structures etc, are included in this category. In this paper, a dynamic analysis method for unstable structural systems is presented. Governing equations for dynamic analysis of unstable truss structures with inextensional displacements are derived. Because of singularity of inverse matrixin in practical analysis of unstable structure, the generalized inverse matrix is Introduced to resolve the singular problem. Also, the RREF technique is used to get the inextensional displacement mode. Two unstable truss structures are analyzed by using presented method. Damping is not considered. From the given results, it is known that proposed method is useful to figure out the dynamic behavior of unstable truss structures.

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