• Title/Summary/Keyword: direct differentiation method

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

  • 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.2245-2252
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    • 2002
  • Design sensitivity analysis scheme is proposed in an elasto -plastic finite element method with explicit time integration using a direct differentiation method. The direct differentiation is concerned with large deformation, the elasto-plastic constitutive relation, shell elements with reduced integration and the contact scheme. The design sensitivities with respect to the process parameter are calculated with the direct analytical differentiation of the governing equation. The sensitivity results obtained from the present theory are compared with that obtained by the finite difference method in a class of sheet metal forming problems such as hemi-spherical stretching and cylindrical cup deep-drawing. The result shows good agreement with the finite difference method and demonstrates that the preposed sensitivity calculation scheme is a pplicable in the complicated sheet metal forming analysis and design.

Ride Sensitivity Analysis of a Train Model with Non-linear Suspension Elements (비선형 현가요소를 가진 철도차량의 승차감 민감도 해석)

  • Tak, Tae-oh;Kim, Myung-hun
    • Journal of Industrial Technology
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    • v.18
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    • pp.233-240
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    • 1998
  • In this study, ride sensitivity analysis of train with non-linear suspension elements is performed. Non-linear characteristics of springs and dampers for primary and secondary suspensions of a train is parameterized. Equation of motion of the train model is derived, and using the direct differentiation method, sensitivity equations are obtained. For a nominal ride quality performance index, sensitivity analysis with respect to various design parameters regarding non-linear suspension parameters is carried out.

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AERODYNAMIC SENSITIVITY ANALYSIS FOR NAVIER-STOKES EQUATIONS

  • Kim, Hyoung-Jin;Kim, Chongam;Rho, Oh-Hyun;Lee, Ki Dong
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.3 no.2
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    • pp.161-171
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    • 1999
  • Aerodynamic sensitivity analysis codes are developed via the hand-differentiation using a direct differentiation method and an adjoint method respectively from discrete two-dimensional compressible Navier-Stokes equations. Unlike previous other researches, Baldwin-Lomax algebraic turbulence model is also differentiated by hand to obtain design sensitivities with respect to design variables of interest in turbulent flows. Discrete direct sensitivity equations and adjoint equations are efficiently solved by the same time integration scheme adopted in the flow solver routine. The required memory for the adjoint sensitivity code is greatly reduced at the cost of the computational time by allowing the large banded flux jacobian matrix unassembled. Direct sensitivity code results are found to be exactly coincident with sensitivity derivatives obtained by the finite difference. Adjoint code results of a turbulent flow case show slight deviations from the exact results due to the limitation of the algebraic turbulence model in implementing the adjoint formulation. However, current adjoint sensitivity code yields much more accurate sensitivity derivatives than the adjoint code with the turbulence eddy viscosity being kept constant, which is a usual assumption for the prior researches.

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A Study on Self-differentiation, Marital Conflict and Marital Satisfaction among Couples' (부부의 자아분화 수준에 따른 부부갈등과 결혼만족도에 관한 연구)

  • Han, Young-Suk
    • Korean Journal of Human Ecology
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    • v.16 no.2
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    • pp.259-272
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    • 2007
  • The purpose of this study was to investigate the effect of couples' self-differentiation by marital satisfaction according to couple's gender. The participants of the present study were 728 couples who lived in Chonbuk province. The data were collected by self-administered questionnaire method. Self-differentiation scale was consisted of such factors as emotional reactivity, I-position, emotional cut-off and fusion with others. The results of this research were as follows: First, there was significant difference in the level of total self-differentiation between husbands and wives. Second, there was significant difference in the levels of marital conflict and of marital satisfaction to levels of self differentiation. Third, self differentiation in both husbands and wives had an direct effect on marital satisfaction and stability through marital conflict. Fourth, marital conflict in both husbands and wives had a direct effect on marital satisfaction.

The Effects of Intergenerational Transmission of Self-Differentiation on Psychological Adjustment of College Student (자기분화의 세대간 전이가 대학생의 심리적 적응에 미치는 영향)

  • Ha, Sang-Hee;Chung, Hye-Jeong
    • Journal of the Korean Home Economics Association
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    • v.46 no.7
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    • pp.95-108
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    • 2008
  • The major purpose of this study was to investigate the effect of intergenerational transmission of self-differentiation on psychological adjustment of college students. Specifically, the present study endeavored to test the causal model focusing on the effect of the father's and the mother's self-differentiation on college student's psychological adjustment through the student's self-differentiation. The data were collected from 254 male and 293 female college students and their parents by using self-administered questionnaire method. The casual model was tested through structural equation model by using AMOS 7.0 program. The results showed that mother's and father's self-differentiation had direct and indirect effect on student's psychological adjustment. The results showed that both mother's and father's self-differentiation had direct effect on son's self-differentiation level, which directly influenced his psychological adjustment. The test of structural equation model also revealed that daughter's self-differentiation level was positively influenced only by mother's self-differentiation, while father's self-differentiation did not influenced female student's self-differentiation. Both male and female student's psychological adjustment was directly influenced by his or her self-differentiation level.

Ride Sensitivity Analysis of a Train With Non-linear Suspension Elements (비선형 현가요소를 가진 철도차량의 승차감 민감도 해석)

  • 전형호;탁태오
    • Journal of the Korean Society for Railway
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    • v.5 no.1
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    • pp.40-47
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    • 2002
  • In this study, and analytical method for ride sensitivity analysis of a train with non-linear suspension elements are proposed. Non-linear characteristics of springs and dampers for primary and secondary suspensions of a train are parameterized using polynomial interpolation. Vertical dynamic model of a three-body train running on straight rail with the predetermined roughness expressed in terms of spectral density function is set up and its equations of motion for ride analysis are derived. Using the direct differentiation method, sensitivity equations of the vertical dynamic model with respect to design parameters associated with non-linearity of suspensions are obtained. Based on the sensitivity analysis, improvement of ride is achieved by varying appropriate suspension parameters.

The Effect of Mother's Self-differentiation and Marital Conflict on Child's Behavior Problems (어머니의 자기분화와 부부갈등이 아동의 행동문제에 미치는 영향)

  • Ha, Sang-Hee
    • Korean Journal of Human Ecology
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    • v.17 no.4
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    • pp.649-660
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    • 2008
  • The purpose of this study was to investigate the effect of mother's self-differentiation and marital conflict on child's behavior problems. For this purpose, the data were collected from 255 boys and 211 girls and their mothers using self-administered questionaire method by Amos 7.0 program. The results of the study was as follows: First, mother's self-differentiation had a negaitive direct effect on marital conflict. Secondly, marital conflict had a direct effect on boy's behavior problems only. Finally, mother's self-differentiation indirect effect on boy's behavior problems only.

Direct Differentiation Method for Shape Design Sensitivity Analysis of Axisymmetric Elastic Solids by the BEM and Shape Optimization of Turbin Disc (경계요소법에 의한 축대칭 탄성체의 형상설계 민감도해석을 위한 직접미분법과 터빈 디스크의 형상최적설계)

  • Lee, Bu-Yun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.5
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    • pp.1458-1467
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    • 1996
  • A direct differentiationmethod is presented for the shape design sensitivity analysis of axisymmeetric elastic solids. Based on the exisymmetric boundary integralequaiton formulation, a new boundary ntegral equatio for sensitivity analysis is derived by taking meterial derivative to the same integral identity that was used in the adjoint variable melthod. Numerical implementation is performed to show the applicaiton of the theoretical formulation. For a simple example with analytic solution, the sensitivities by present method are compared with analytic sensitivities. As an application to the shape optimization, an optimal shape of a gas turbine disc toinimize the weight under stress constraints is found by incorporating the sensitivity analysis algorithm in an optimizatio program.

Design Sensitivity Analysis for the Sheet Metal Forming Process with an Elasto-plastic Finite Element Analysis and a Direct Differentiation Approach (탄소성 유한요소법과 직접미분법물 이용한 박판성형공정에서의 설계민감도 해석)

  • 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.93-96
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    • 2001
  • Design sensitivity is calculated in the sheet metal forming process with an elasto-plastic finite element analysis and a direct differentiation method The sensitivity analysis is concerned with the time integration the constitutive relation considering planar anisotropy, shell elements and the contact scheme. The present result is compared with the result obtained with the finite difference approach in deep drawing processes. The obtained sensitivity information is applied to the simple optimization process for the sheet metal forming process.

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Adjoint Design Sensitivity Analysis of Damped Systems (보조변수법을 이용한 감쇠계 고유치 설계민감도 해석)

  • Yoo, Jung-Hoon;Lee, Tae-Hee
    • Proceedings of the KSME Conference
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    • 2001.06c
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    • pp.398-401
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    • 2001
  • There are two methods to calculate design sensitivity such as direct differentiation method and adjoint method. A sort of direct differentiation method for design sensitivity analysis costs too much when number of design variables is much larger than the number of response functions whose design sensitivity analyses are required. Therefore, an adjoint method is suggested for the case that the dimension of design variables is lager than the number of response function. An adjoint method is required to compute adjoint variables from the simultaneous linear system equation, the so-called adjoint equation, requiring only the eigenvalue and its associated eigenvectors for mode being differentiated. This method has been extended to the repeated eigenvalue problem. In this paper, we propose an adjoint method for deign sensitivity analysis of damped vibratory systems with distinct eigenvalues.

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