• Title/Summary/Keyword: Numerical sensitivity

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A study on the sensitivity analysis of processing parameters for the laser surface hardening treatment (레이저 표면 경화처리 긍정변수의 민감도 해석에 관한 연구)

  • 이세환;양영수
    • Proceedings of the KWS Conference
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    • 2000.10a
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    • pp.260-263
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    • 2000
  • A methodology is developed and many used to evaluate the response sensitivity of the thermal systems to variations in their design parameters. Technique for computing the sensitivity of temperature distributions to changes in processing parameters needed for deciding the more effective laser input parameters for laser surface hardening treatment are considered. In this study, a state equation governing the heat flow in laser surface treatment is analyzed using a three-dimensional finite element method and sensitivity data of the processing parameter obtained using a direct differentiation method applied for sensitivity analysis. The interesting processing parameter is taken as the laser scan velocity and characteristic beam radius( $r_{b}$) of the sensitivity of the temperature T versus v and $r_{b}$ is analyzed. And these sensitivity results obtained in another parameters are fixed condition. To verifying the numerical analysis results, hardened layer dimensions (width and depth) of the numerical analysis compared with the results of an experimental data.ata.

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Sensitivity Analysis of Processing Parameters for the Laser Surface Hardening Treatment by Using the Finite Element Method (유한요소법을 이용한 레이저 표면경화처리 공정변수의 민감도 해석)

  • 이세환;양영수
    • Journal of Welding and Joining
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    • v.19 no.2
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    • pp.228-234
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    • 2001
  • A methodology is developed and used to evaluate the response sensitivity of the thermal systems to variations in their design parameters. Technique for computing the sensitivity of temperature distributions to changes in processing parameters needed to decide the more effective laser input parameters for laser surface hardening treatment is considered. In this study, a state equation governing the heat flow in laser surface treatment is analyzed using a three-dimensional finite element method and sensitivity data of the processing parameter obtained using a direct differentiation method is applied to the sensitivity analysis. The interesting processing parameters are taken as the laser scan velocity and laser beam radius ( $r_{ b}$), and the sensitivities of the temperature T versus v and $r_{b}$ are analyzed. These sensitivity results are obtained with another parameters fixed. To verify the numerical analysis results, hardened layer dimensions (width and depth) of the numerical analysis are compared with the experimental ones.nes.

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Approximate Method in Estimating Sensitivity Responses to Variations in Delayed Neutron Energy Spectra

  • J. Yoo;H. S. Shin;T. Y. Song;Park, W. S.
    • Proceedings of the Korean Nuclear Society Conference
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    • 1997.10a
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    • pp.85-90
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    • 1997
  • Previous our numerical results in computing point kinetics equations show a possibility in developing approximations to estimate sensitivity responses of nuclear reactor We recalculate sensitivity responses by maintaining the corrections with first order of sensitivity parameter. We present a method for computing sensitivity responses of nuclear reactor based on an approximation derived from point kinetics equations. Exploiting this approximation, we found that the first order approximation works to estimate variations in the time to reach peak power because of their linear dependence on a sensitivity parameter, and that there are errors in estimating the peak power in the first order approximation for larger sensitivity parameters. To confirm legitimacy of our approximation, these approximate results are compared with exact results obtained from our previous numerical study.

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A Study on the Stochastic Sensitivity Analysis in Dynamics of Frame Structure (프레임 구조물의 확률론적 동적 민감도 해석에 관한 연구)

  • 부경대학교
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.35 no.4
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    • pp.435-447
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    • 1999
  • It is main objective of this approach to present a method to analyse stochastic design sensitivity for problems of structural dynamics with randomness in design parameters. A combination of the adjoint variable approach and the second order perturbation method is used in the finite element approach. An alternative form of the constant functional that holds for all times is introduced to consider the time response of dynamic sensitivity. The terminal problem of the adjoint system is solved using equivalent homogeneous equations excited by initial velocities. The numerical procedures are shown to be much more efficient when based on the fold superposition method: the generalized co-ordinates are normalized and the correlated random variables are transformed to uncorrelated variables, whereas the secularities are eliminated by the fast Fourier transform of complex valued sequences. Numerical algorithms have been worked out and proved to be accurate and efficient : they can be readily adapted to fit into the existing finite element codes whose element derivative matrices can be explicitly generated. The numerical results of two cases -2 dimensional portal frame for the comparison with reference and 3-dimensional frame structure - for the deterministic sensitivity analysis are presented.

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Dynamic sensitivity analysis and optimum design of aerospace structures

  • Gu, Yuanxian;Kang, Zhan;Guan, Zhenqun;Jia, Zhiwen
    • Structural Engineering and Mechanics
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    • v.6 no.1
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    • pp.31-40
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    • 1998
  • The research and applications of numerical methods of design optimization on structural dynamic behaviors are presented in this paper. The emphasis is focused on the dynamic design optimization of aerospace structures, particularly those composed of composite laminate and sandwich plates. The methods of design modeling, sensitivity analysis on structural dynamic responses, and the optimization solution approaches are presented. The numerical examples of sensitivity analysis and dynamic structural design optimization are given to demonstrate the effectiveness of the numerical methods.

Shape Design Sensitivity Analysis of Two-Dimensional Thermal Conducting Solids with Multiple Domains Using the Boundary Element Method (경계요소법을 이용한 2 차원 복수 영역 열전도 고체의 형상 설계 민감도 해석)

  • 이부윤;임문혁
    • Journal of the Korean Society for Precision Engineering
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    • v.20 no.8
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    • pp.175-184
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    • 2003
  • A method of the shape design sensitivity analysis based on the boundary integral equation formulation is presented for two-dimensional inhomogeneous thermal conducting solids with multiple domains. Shape variation of the external and interface boundary is considered. A sensitivity formula of a general performance functional is derived by taking the material derivative to the boundary integral identity and by introducing an adjoint system. In numerical analysis, state variables of the primal and adjoint systems are solved by the boundary element method using quadratic elements. Two numerical examples of a compound cylinder and a thermal diffuser are taken to show implementation of the shape design sensitivity analysis. Accuracy of the present method is verified by comparing analyzed sensitivities with those by the finite difference. As application to the shape optimization, an optimal shape of the thermal diffuser is found by incorporating the sensitivity analysis algorithm in an optimization program.

The Effects of Mothers' Reading and Teacher's Sensitivity and Permissiveness on 4-and 5-year-olds' Verbal and Numerical Abilities in Low-income Families - The Analysis of FACES Data in the U.S. to Develop Intervention Programs for Low-Income Families - (어머니의 책읽기와 유아교사의 민감성 및 수용성이 저소득 가정 유아의 어휘력과 수리력에 미치는 영향 - 성, 연령, 기질 및 어머니의 앙육행동과 보육경험을 중심으로 -)

  • Chang, Young-Eun;Lee, Soak-Jung;Lee, Kang-Yi
    • Journal of the Korean Home Economics Association
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    • v.46 no.1
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    • pp.117-129
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    • 2008
  • In present study, using 1572 low-income families and 266 Head Start teachers from Family and Child Experiences Survey (FACES) in the U.S., we examined the effects of mothers' reading and the characteristics of interaction between teacher-child interaction on 4-and 5-year-olds' cognitive development represented by their verbal and numerical abilities. Frequencies of mothers' reading at home consistently predicted higher scores of children's Peabody Picture Vocabulary Test and Woodcock Johnson Applied Problems. Teachers' sensitivity and permissiveness in their interactions with children in classroom were positively related to children's verbal abilities and teachers' sensitivity predicted better numerical abilities of children after controlling for mothers' reading and the characteristics of family and teacher. The findings shed light on the contributions of teacher behaviors and familial factors to children's cognitive development calling for attention to the need for parent education on cognitively stimulating family environments and continuing education for early childhood teachers focusing on quality interactions with young children.

Identification of Impact Factors in Ship-to-Ship Mooring Through Sensitivity Analysis

  • Lee, Sang-Won;Lee, Hyeong-Tak;Kim, Dae-Gun;Cho, Ik-Soon
    • Journal of Navigation and Port Research
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    • v.43 no.5
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    • pp.310-319
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    • 2019
  • With the recent increase in the volume of liquid cargo transportation, there is a need for STS( Ship To Ship) globally. In the case of the STS mooring, the safety assessment should be conducted according to other criteria because mooring is different from the general mooring at the quay, but there is no separate standard in Korea. Thus in this study, STS mooring simulation and sensitivity analysis using OPTIMOOR program, the numerical analysis program, was conducted to identify the characteristics of the STS mooring. The target sea modeled the Yeosu port anchorage in Korea and the target ship was selected as the case of VLCC (Very Large Crude Oil Carrier)-VLCC. Through the numerical simulation and sensitivity analysis, the characteristics of STS mooring were identified. Also based on these results, we focused on establishing the standard for STS mooring safety assessment. Numerical simulation results show that the STS mooring safety can be changed according to a ship's cargo loading condition, pre-tension of mooring line, sea depth, encounter angle with the weather, and the weather condition. Additionally, the risk matrix is prepared to establish the safe external force range in the corresponding sea area. This result can be used to understand the mooring characteristics of STS and contribute to the revision of mooring safety assessment criteria.

Sensitivity analysis based on complex variables in FEM for linear structures

  • Azqandi, Mojtaba Sheikhi;Hassanzadeh, Mahdi;Arjmand, Mohammad
    • Advances in Computational Design
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    • v.4 no.1
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    • pp.15-32
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    • 2019
  • One of the efficient and useful tools to achieve the optimal design of structures is employing the sensitivity analysis in the finite element model. In the numerical optimization process, often the semi-analytical method is used for estimation of derivatives of the objective function with respect to design variables. Numerical methods for calculation of sensitivities are susceptible to the step size in design parameters perturbation and this is one of the great disadvantages of these methods. This article uses complex variables method to calculate the sensitivity analysis and combine it with discrete sensitivity analysis. Finally, it provides a new method to obtain the sensitivity analysis for linear structures. The use of complex variables method for sensitivity analysis has several advantages compared to other numerical methods. Implementing the finite element to calculate first derivatives of sensitivity using this method has no complexity and only requires the change in finite element meshing in the imaginary axis. This means that the real value of coordinates does not change. Second, this method has the lower dependency on the step size. In this research, the process of sensitivity analysis calculation using a finite element model based on complex variables is explained for linear problems, and some examples that have known analytical solution are solved. Results obtained by using the presented method in comparison with exact solution and also finite difference method indicate the excellent efficiency of the proposed method, and it can predict the sustainable and accurate results with the several different step sizes, despite low dependence on step size.

DESIGN SENSITIVITY ANALYSIS FOR MULTIBODY SYSTEMS (다물체 시스템의 민감도 해석)

  • Lee, Jong-Nyun;Park, Soo-Hong
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.04a
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    • pp.378-382
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    • 1996
  • This paper presents a 'mixed' method for performing the sensitivity analysis for multibody dynamics. The mixed method uses both the analytical derivation and the numerical evaluation, in which premitive derivations rely on the analytical process and their associated individual terms are evaluated by the numerical precess. Therefore, this method can eliminate difficulty in dervation of the direct differentiation. Furthermore, by using the joint coordinate formulation for the equations of motion, compulational efficiencyand numerical accuracy are achieved.

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