• Title/Summary/Keyword: Sensitivity Equation

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Optimum Design of the Process Parameter in Sheet Metal Forming with Design Sensitivity Analysis using the Direct Differentiation Approach (II) -Optimum Process Design- (직접미분 설계민감도 해석을 이용한 박판금속성형 공정변수 최적화 (II) -공정 변수 최적화-)

  • Kim, Se-Ho;Huh, Hoon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.11
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    • pp.2262-2269
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    • 2002
  • Process optimization is carried out to determine process parameters which satisfy the given design requirement and constraint conditions in sheet metal forming processes. Sensitivity -based-approach is utilized for the optimum searching of process parameters in sheet metal forming precesses. The scheme incorporates an elasto-plastic finite element method with shell elements . Sensitivities of state variables are calculated from the direct differentiation of the governing equation for the finite element analysis. The algorithm developed is applied to design of the variablc blank holding force in deep drawing processes. Results show that determination of process parameters is well performed to control the major strain for preventing fracture by tearing or to decrease the amount of springback for improving the shape accuracy. Results demonstrate that design of process parameters with the present approach is applicable to real sheet metal forming processes.

Bearing Load Distribution Studies in a Multi Bearing Rotor System and a Remote Computing Method Based on the Internet

  • Yang, Zhao-Jian;Peng, Ze-Jun;Kim, Seock-Sam
    • Journal of Mechanical Science and Technology
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    • v.18 no.6
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    • pp.946-954
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    • 2004
  • A model in the form of a Bearing Load Distribution (BLD) matrix in the Multi Bearing Rotor System (MBRS) is established by a transfer matrix equation with the consideration of a bearing load, elevation and uniform load distribution. The concept of Bearing Load Sensitivity (BLS) is proposed and matrices for load and elevation sensitivity are obtained. In order to share MBRS design resources on the Internet with remote customers, the basic principle of Remote Computing (RC) based on the Internet is introduced ; the RC of the BLD and BLS is achieved by Microsoft Active Server Pages (ASP) technology.

An Improved Identification Method for Joint Parameters in Structures with Imcomplete Modal Parameters (불완전 모우드 변수를 이용한 구조물 결합부 변수 규명 방법의 개선)

  • 홍성욱
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1998.04a
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    • pp.244-249
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    • 1998
  • The present paper improves the direct identification scheme based upon the equation error formulation with incomplete modal data. First, an indirect estimation technique is considered for estimating unmeasured elements of latent vectors by the combined use of a model and measured incomplete eigen vectors. It is used for estimating the other elements of eigen vectors, which are essential for identification but not available. Next an index is introduced here to indicate the quality of estimation with respect to the mode and the measured positions. A sensitivity formula for eigenvalues with respect to the unknown joint coefficient is also derived to select the modes appropriate for identification. An identification strategy is suggested to meet with practical problems with the help of the index and sensitivity formula. The index and the sensitivity are proved to be useful for selecting measurement positions and modes appropriate for identification A comprehensive simulation study is performed to test the proposed method.

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Neck Formation in Drawing Processes of Fibers

  • Chung, Kwansoo;Yoon, Hyungsop;Youn, Jae Ryoun
    • Fibers and Polymers
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    • v.2 no.1
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    • pp.140-143
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    • 2001
  • To better understand the formation of necking in drawing processes of fibers, strain distributions during drawing processes have been analyzed. For simplicity, one-dimensional incompressible steady flow at a constant temperature was assumed and quasi-static model was used. To describe mechanical properties of solid polymers, non-linear visco-plastic material properties were assumed using the power law type hardening and rate-sensitive equation. The effects of various parameters on the neck formation were matematically analyzed. As material property parameters, strain-hardening parameter, visco-elastic coefficient and strain-rate sensitivity were considered and, for process parameters, the drawing ratio and the process length were considered. It was found that rate-insensitive materials do not reach a steady flow state and the rate-sensitivity plays a key role to have a steady flow. Also, the neck formation is mainly affected by material properties, especially for the quasi-static model. If the process length changes, the strain distribution was found to be proportionally re-distributed along the process line by the factor of the total length change.

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Variational Approach for the Design Sensitivity Analysis of Geometrically Nonlinear Structures (변분법을 이용한 기하학적 비선형 구조의 설계민감도 해석)

  • Ryu, Yeon Sun
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.10 no.2
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    • pp.1-9
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    • 1990
  • A variational approach with reference volume and adjoint structure concepts is applied for the structural design densitivity analysis of geometrically nonlinear structures. A general form of sensitivity equation is used and then nonlinear finite element procedure is implemented for the discretized structural model. Usability and effectiveness of the variational approach for the design sensitivity analysis of geometrically nonlinear structural responses are verified through a numerical example.

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Sensitivity Analysis of Amino Acids in Simulated Moving Bed Chromatography

  • Lee, Ju-Weon;Lee, Chong-Ho;Koo, Yoon-Mo
    • Biotechnology and Bioprocess Engineering:BBE
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    • v.11 no.2
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    • pp.110-115
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    • 2006
  • We conducted a sensitivity analysis of the simulated moving bed (SMB) chromatography with the case model of the separation of two amino acids phenylalanine and tryptophan. We consider a four-zone SMB chromatography where the triangle theory is used to determine the operating conditions. Competitive Langmuir isotherm model was used to determine the adsorption isotherm. The finite difference method is used to solve nonlinear partial differential equation (PDE) systems numerically. We examined the effects of alterations in the operating conditions(feed-extract, feed-raffinate, eluent-extract, eluent-raffinate, recycle, and switching time) and the adsorption isotherm parameters (Langmuir isotherm parameters a and b) on SMB efficiency. The variation range of operating conditions and Langmuir isotherm a was between -50 and 50% of original value and the variation range of the Langmuir isotherm b was between $2.25^{-5}$ and $2.25^5$ times of original value.

Eigenvalue sensitivity analysis of power systems including TCSC based on the RCF method (TCSC를 포함하는 전력계통의 RCF 해석법에 기초한 감도해석)

  • Kim, Deok-Young;Park, Sung-Joo
    • Proceedings of the KIEE Conference
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    • 2008.07a
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    • pp.237-238
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    • 2008
  • In this paper, the RCF method is applied to analyze small signal stability of power systems including thyristor controlled FACTS equipments such as TCSC. The eigenvalue sensitivity analysis algorithm in discrete systems by the RCF method are presented and applied to the power system including TCSC. The RCF analysis method enabled to precisely calculate eigenvalue sensitivity coefficients of dominant oscillation modes after periodic switching operations. These simulation results are very different from those of the conventional continuous system analysis method such as the state space equation method.

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Sensitivity Analysis of the Zigzag Switch under Acceleration and Centrifugal Forces (가속력과 원심력을 받는 지그잭 스위치의 민감도 해석)

  • 김경환
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.11a
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    • pp.1067-1072
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    • 1996
  • Sensitivity analysis of the cylindrical zigzag cams under acceleration and centrifugal forces is performed. A Lagrangian method is used to determine the mechanism constant of zigzag track, And the equation of motion for cylindrical zigzag cam under rectangular pulse is derived by the governing equations of a single spring mass system. The ratio of the drive force tn resisting force is derived by angular acceleration, centrifugal force and setback force on the operation of the munition. The theoretical sensitivity curves for 3 models are analyzed. And experiments for 3 models are conducted to check safe and functional zone. Zigzag cam types can be satisfied all major design requirements for switch system of munition.

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Improved Concurrent Subspace Optimization Using Automatic Differentiation (자동미분을 이용한 분리시스템동시최적화기법의 개선)

  • 이종수;박창규
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1999.10a
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    • pp.359-369
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    • 1999
  • The paper describes the study of concurrent subspace optimization(CSSO) for coupled multidisciplinary design optimization (MDO) techniques in mechanical systems. This method is a solution to large scale coupled multidisciplinary system, wherein the original problem is decomposed into a set of smaller, more tractable subproblems. Key elements in CSSO are consisted of global sensitivity equation(GSE), subspace optimization (SSO), optimum sensitivity analysis(OSA), and coordination optimization problem(COP) so as to inquiry valanced design solutions finally, Automatic differentiation has an ability to provide a robust sensitivity solution, and have shown the numerical numerical effectiveness over finite difference schemes wherein the perturbed step size in design variable is required. The present paper will develop the automatic differentiation based concurrent subspace optimization(AD-CSSO) in MDO. An automatic differentiation tool in FORTRAN(ADIFOR) will be employed to evaluate sensitivities. The use of exact function derivatives in GSE, OSA and COP makes Possible to enhance the numerical accuracy during the iterative design process. The paper discusses how much influence on final optimal design compared with traditional all-in-one approach, finite difference based CSSO and AD-CSSO applying coupled design variables.

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A Study on the Optimum Design of Compliance Characteristics of Suspension System (현가계 컴플라이언스 특성의 최적 설계에 관한 연구)

  • Lee, J.M.;Kang, J.S.;Tak, T.O.;Yoom, J.W.
    • Transactions of the Korean Society of Automotive Engineers
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    • v.6 no.6
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    • pp.88-97
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    • 1998
  • Compliance elements such as bushings of a suspension system play a crucial role in determining the ride and handling characteristics of the vehicle. In this paper, a general procedure is proposed for the optimum design of compliance elements to meet various design targets. Based on the assumption that the displacements of elastokinematic behavior of a suspension system under external forces are very small, linearized elastokinematic equations in terms of infinitesimal displacements and joint reaction forces are derived. Directly differentiating the linear elastokinematic equations with respect to design variables associated with bushing stiffness, sensitivity equations are obtained. The design process for determining the bushing stiffness using sensitivity analysis and optimization technique is demonstrated.

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