• Title/Summary/Keyword: inverse analysis

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Classification Using Sliced Inverse Regression and Sliced Average Variance Estimation

  • Lee, Hakbae
    • Communications for Statistical Applications and Methods
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    • v.11 no.2
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    • pp.275-285
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    • 2004
  • We explore classification analysis using graphical methods such as sliced inverse regression and sliced average variance estimation based on dimension reduction. Some useful information about classification analysis are obtained by sliced inverse regression and sliced average variance estimation through dimension reduction. Two examples are illustrated, and classification rates by sliced inverse regression and sliced average variance estimation are compared with those by discriminant analysis and logistic regression.

Multi-stage Finite Element Inverse Analysis of Elliptic Cup Drawing Processes with the Large Aspect Ratio (세장비가 큰 타원형 컵 성형 공정의 다단계 유한요소 역해석)

  • Kim, S.H.;Kim, S.H.;Huh, H.
    • Transactions of Materials Processing
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    • v.9 no.3
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    • pp.304-312
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    • 2000
  • An inverse finite element approach is employed to efficiently design the optimum blank shape and intermediate shapes from the desired final shape in multi-stage elliptic cup drawing processes. The multi-stage deep-drawing process is difficult to design with the conventional finite element analysis since the process is very complicate with the conventional finite element analysis since the process is very complicated with intermediate shapes and the numerical analysis undergoes the convergence problem even with tremendous computing time. The elliptic cup drawing process needs much effort to design sine it requires full three-dimensional analysis. The inverse analysis is able to omit all complicated and tedious analysis procedures for the optimum process design. In this paper, the finite element inverse analysis provides the thickness strain distribution of each intermediate shape through the multi-stage analysis. The multi-stage analysis deals with the convergence among intermediate shapes and the corresponding sliding constraint surfaces that are described by the analytic function of merged-arc type surfaces.

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Inverse Finite Element Analysis of Autobody Structures with a Direct Mesh Mapping Method for Crash Analysis Considering Forming Effets (직접격자 사상법을 이용한 차체 구조물의 유한요소 역해석 및 성형효과를 고려한 충돌해석)

  • Kim, S.H.;Huh, H.
    • Transactions of Materials Processing
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    • v.11 no.5
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    • pp.457-464
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    • 2002
  • A finite element inverse analysis is utilized to consider forming effects of an S-rail on the assessment of the crashworthiness with small amount of computation time. A crash analysis can be directly performed after the inverse simulation of a forming process without a smoothing or remeshing scheme. The direct mesh mapping method is used to calculate an initial guess from a sliding constraint surface that is extracted from the die and punch set. Analysis results demonstrate that energy absorption of structures is increased when simulation considers forming effects of thickness variation and work hardening. The finite element inverse analysis is proved to be an effective tool in consideration of forming effects for the crash analysis.

Study on Estimations of Initial Mass Fractions of CH4/O2 in Diffusion-Controlled Turbulent Combustion Using Inverse Analysis (확산지배 난류 연소현상에서 역해석을 이용한 CH4/O2의 초기 질량분율 추정에 관한 연구)

  • Lee, Kyun-Ho;Baek, Seung-Wook
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.34 no.7
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    • pp.679-688
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    • 2010
  • The major objective of the present study is to extend the applications of inverse analysis to more realistic engineering fields with a complex combustion process rather than the traditional simple heat-transfer problems. In order to do this, the unknown initial mass fractions of $CH_4/O_2$ are estimated from the temperature measurement data by inverse analysis in the practical diffusion-controlled turbulent combustion problem. In order to ensure efficient inverse analysis, the repulsive particle swarm optimization (RPSO) method, which belongs to the class of stochastic evolutionary global optimization methods, is implemented as an inverse solver. Based on this study, it is expected that useful information can be obtained when inverse analysis is used in the diagnosis, design, or optimization of real combustion systems involving unknown parameters.

Finite Element Inverse Analysis of the Deep Drawing Process Considering Bending History (굽힘이력을 고려한 딥드로잉공정의 유한요소역해석)

  • Huh, J.;Yoon, J.H.;Bao, Y.D.;Huh, H.
    • Transactions of Materials Processing
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    • v.16 no.8
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    • pp.590-595
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    • 2007
  • This paper introduces a new approach to take account of bending history in finite element inverse analysis during sheet metal forming process. A modified membrane element was adopted for finite element inverse analysis so that bending-unbending energy was additionally imposed in the total plastic energy, predicting bending-unbending regions using the geometry of the final shape and tools. An algorithm was applied to a cylindrical cup deep drawing process. The blank shape and the distribution of the thickness strain were compared with those obtained from the incremental finite element analysis in order to evaluate the effect of the bending history. The algorithm reduced the difference between the results of the inverse analysis from those of the incremental analysis due to bending history. The analysis was also carried out with the variation of the thickness of the initial blank to investigate the effect of bending deformation. The results showed that the difference was remarkably reduced as the thickness of the initial blank increased. This indicates that the finite element inverse analysis cooperated with the suggested scheme is useful to obtain more accurate results, especially when bending effects are significant.

Inverse Dynamic Analysis of Constrained Multibody Systems Considering Friction Forces on Kinematic Joints (기구학적 조인트에서 마찰력을 고려한 구속 다물체계의 역동역학 해석)

  • Park, Jeong-Hun;Yu, Hong-Hui;Hwang, Yo-Ha;Bae, Dae-Seong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.8 s.179
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    • pp.2050-2058
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    • 2000
  • A method for the inverse dynamic analysis of constrained multibody systems considering friction forces acting on kinematic joints is presented in this paper. The stiction and the sliding which represent zero and non-zero relative motions are considered during the inverse dynamic analysis. Actuating forces to control the position or the orientation of constrained multibody systems are usually calculated in the inverse dynamic analysis. An iterative procedure need to be employed to calculate the actuating forces when the friction is considered. Furthermore, the actuating forces are not uniquely determined during the stiction. These difficulties are resolved by the method presented in this paper.

Kinematic/Inverse Kinematic Analysis of Captive Trajectory Simulation System with Functional Redundancy (기능적 여유자유도를 가지는 CTS 시스템의 기구학/역기구학 해석)

  • Lee, Do Kwan;Lee, Sang Jeong
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.26 no.3
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    • pp.263-271
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    • 2017
  • A captive trajectory simulation (CTS) system is used to investigate the separation behavior of the store model by moving the model to an arbitrary pose and position based on aerodynamic data. A CTS system operated inside a wind tunnel is designed to match the structure of the wind tunnel facility. As a result, each CTS system has different kinematic structure, and inverse kinematic analysis of the system is necessary. In this study, kinematic/inverse kinematic analysis for the CTS system with functional redundancy is performed. Inverse kinematic analysis with combined numerical and analytical approach is especially proposed. The suggested approach utilizes the redundancy to improve the safety of the system, and has advantages in real time analysis.

Three Dimensional Finite Element Inverse Analysis of Rectangular Cup and S-Rail Forming Processes using a Direct Mesh Mapping Method (직접 격자 사상법을 이용한 직사각컵 및 S-Rail 성형공정의 3차원 유한요소 역해석)

  • Kim S. H.;Huh H.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2001.10a
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    • pp.81-84
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    • 2001
  • An inverse finite element approach is employed for more capability to design the optimum blank shape from the desired final shape with small amount of computation time and effort. In some drawing or stamping simulation with inverse method, it is difficult to apply inverse scheme due to the large aspect ratio or steep vertical angle of inclination. The reason is that initial guesses are hard to make out with present method for those cases. In this paper, a direct mesh marring scheme to generate initial guess on the sliding constraint surface described by finite element patches is suggested for one step inverse analysis to calculate initial blank shape. Radial type mapping is adopted for the simulation of rectangular cup drawing process with large aspect ratio and parallel type mapping for the simulation of S-Rail forming process with steep vertical angle of inclination.

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The Forward/Inverse Force Transmission Analyses of the Stewart Platform (스튜어트 플랫폼의 순방향/역방향 힘 전달 해석)

  • Kim, Han-Sung;Choi, Yong-Je
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.5 s.98
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    • pp.200-208
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    • 1999
  • The statics relation of the Stewart platform has been investigated from the viewpoint of the forward and inverse force transmission analyses. Two eigenvalue problems corresponding to the forward and inverse force transmission analyses have been formulated. The forward force transmission analysis is to determine the ranges of the magnitudes of the force and moment generated at the end-effector for the given magnitude of linear actuator forces. In reverse order, the inverse force transmission analysis is to find the range of the magnitude of actuator forces for the given ranges of the magnitudes of the force and moment at the end-effector. The inverse force transmission analysis is important since it can provide a designer with a valuable information about how to choose the linear actuators. It has been proved that two eigenvalue problems have a reciprocal relation, which implies that solving either of the eigenvalue problems may complete the forward/inverse force transmission analysis. A numerical example has been also presented.

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Inverse Dynamic Analysis of Flexible Multibody Systems with Closed-Loops

  • Lee, Byung-Hoon;Lee, Shi-Bok;Jeong, Weui-Bong;Yoo, Wan-Suk;Yang, Jin-Saeng
    • Journal of Mechanical Science and Technology
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    • v.15 no.6
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    • pp.693-698
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    • 2001
  • The analysis of actuating forces (or torques) and joint reaction forces (or moments) are essential to determine the capacity of actuators, to control the system and to design the components. This paper presents an inverse dynamic analysis algorithm for flexible multibody systems with closed-loops in the relative joint coordinate space. The joint reaction forces are analyzed in Cartesian coordinate space using the inverse velocity transformation technique. The joint coordinates and the deformation modal coordinates are used as the generalized coordinates of a flexible multibody system. The algorithm is verified through the analysis of a slider-crank mechanism.

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