• 제목/요약/키워드: second order sensitivity

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Research on the calculation method of sensitivity coefficients of reactor power to material density based on Monte Carlo perturbation theory

  • Wu Wang;Kaiwen Li;Yuchuan Guo;Conglong Jia;Zeguang Li;Kan Wang
    • Nuclear Engineering and Technology
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    • v.55 no.12
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    • pp.4685-4694
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    • 2023
  • The ability to calculate the material density sensitivity coefficients of power with respect to the material density has broad application prospects for accelerating Monte Carlo-Thermal Hydraulics iterations. The second-order material density sensitivity coefficients for the general Monte Carlo score have been derived based on the differential operator sampling method in this paper, and the calculation of the sensitivity coefficients of cell power scores with respect to the material density has been realized in continuous-energy Monte Carlo code RMC. Based on the power-density sensitivity coefficients, the sensitivity coefficients of power scores to some other physical quantities, such as power-boron concentration coefficients and power-temperature coefficients considering only the thermal expansion, were subsequently calculated. The effectiveness of the proposed method is demonstrated in the power-density coefficients problems of the pressurized water reactor (PWR) moderator and the heat pipe reactor (HPR) reflectors. The calculations were carried out using RMC and the ENDF/B-VII.1 neutron nuclear data. It is shown that the calculated sensitivity coefficients can be used to predict the power scores accurately over a wide range of boron concentration of the PWR moderator and a wide range of temperature of HPR reflectors.

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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Sensitivity Analysis of Steel Frames Subjected to Progressive Collapse (철골조의 연쇄붕괴 민감도 해석)

  • Park, Jun-Hei;Kim, Jin-Koo;Lee, Tae-Hyung
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.21 no.3
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    • pp.211-216
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    • 2008
  • Recently a lot of researches have been conducted on the progressive collapse of structures which is the total collapse of structures initiated by localized damage. Most of the previous studies on the field of progressive collapse have followed deterministic approach without considering uncertainty involved in design variables, which results in unknown reliability of the analysis results. In this study the sensitivity analyses are carried out with design variables such as yield strength, live load, damping ratio, and elastic modulus on the vertical deflection of the joint from which a column is suddenly removed. The Monte Calro simulation, tornado diagram method, and the first order second moment method(FOSM) are applied for the sensitivity study. According to the nonlinear static analysis results, the vertical deflection is most affected by the variation of yield strength of beams. The nonlinear dynamic analyses show that the behaviour of model structures is highly sensitive to variation of the yield strength of beams and the structural damping ratio.

The Effect of Nonverbal Communication Ability in One-year-olds' and Teachers' Sensitivity on the Adjustment of Infants to Child Care Centers (만 1세 영아의 비언어적 의사소통 능력과 교사의 민감성이 영아의 어린이집 적응에 미치는 영향)

  • Kim, Shin Hye;Sung, Mi Young
    • Korean Journal of Childcare and Education
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    • v.16 no.5
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    • pp.87-103
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    • 2020
  • Objective: This study controlled the SES(Socio Economic Status) in order to compare the influence of infants' nonverbal communication ability and teachers' sensitivity on the infants' adjustment to child care centers. Methods: For this study, data was collected 115 mothers with one-year-olds'(58 boys, 57 girls) and from 115 teachers from fourty-eight child care centers located in Seoul and Gyeonggi Provincet data. The collected data were analyzed by correlation analysis, hierarchical multiple regression analysis using the SPSS 23.0 program. The results of this study are as follows. Results: First, infants' adjustment to child care centers showed a statistically significant relationship with infants' nonverbal communication ability and teachers' sensitivity. Second, among the variables explaining infants' adjustment to child care centers, the effect of teachers' sensitivity was higher than the effect of infants' nonverbal communication ability. Conclusion/Implications: This study confirmed that teachers' sensitivity is a strong factor explaining infants' adjustment to child care centers. We also emphasized the importance of the role of teachers, providing basic data on the development of education for child care teachers and education for improving sensitivity.

Effects on Environmental Sensitivity of Elementary Students through Method of Rephrasing Lyrics of Songs (노래 가사 바꿔 부르기를 활용한 수업이 초등학생의 환경감수성에 미치는 영향)

  • Kim, Jee-Yoon;Bae, Young-Boo;Choi, Don-Hyung
    • Hwankyungkyoyuk
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    • v.24 no.4
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    • pp.1-10
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    • 2011
  • The purpose of this study is to investigate effects of environmental education using method of rephrasing lyrics of songs on environmental sensitivity. In order to perform this study, 60 sixth-grade students in an elementary school in Seoul are selected and divided into two groups. Half of the students belong to the experimental group which undergoes environmental education using method of rephrasing lyrics of songs. The others are in the control group which gets traditional environmental education with textbook. A questionnaire was used to survey effects of environmental education using method of rephrasing lyrics of songs. The results of this study are as follows: First, it is found that the environmental education using method of rephrasing lyrics of songs is effective on building up the environmental sensitivity. Second, the environmental education using method of rephrasing lyrics of songs is effective on 4 domains of the environmental sensitivity - positive reception, expectation, disagreeableness and anger for environment and environmental problems. Moreover, the environmental education using method of rephrasing lyrics of songs makes the students in the experimental group have pro-environmental attitudes and behavior. This study revealed that using method of rephrasing lyrics of songs could be effective on the environmental education. Therefore, we have to provide a variety of chances using this method to enhance the environmental sensitivity.

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Sensitivity Analysis of Dynamic Response by Change in Excitation Force and Cross-sectional Shape for Damped Vibration of Cantilever Beam (가진력과 단면형상 변화에 따른 외팔보 감쇠 진동의 민감도 해석)

  • Yun, Seong-Ho
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.20 no.8
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    • pp.11-17
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    • 2021
  • This paper describes the time rate of change of dynamic response of a cantilever beam inserted with a damping element, such as bonding, which is excited under a general force at various locations. A sensitivity analysis was performed in a finite element model to show that two types of second-order algebraic governing equations were used to predict the rate of change of dynamic displacement: one is related to the modal coordinate linked to a physical coordinate, and the other to the design parameter of the time rate of change of displacement. The sensitivity differential equation formulation includes more complicated terms compared with that of the undamped cantilever beam. The sensitivities of the dynamic response were observed by changing the location of the excitation force, displacement extraction, and cross-sectional area of the beam. The analytical results obtained by this suggested theory showed a relatively good agreement when compared with those obtained using the commercial finite element program. The suggested analysis procedure enables the prediction of the response sensitivity for any finite element model of the dynamic system.

Sensitivity Analysis of Parameters Affecting Seismic Response for RC Shear Wall with Age-Related Degradation (경년열화된 철근콘크리트 전단벽의 지진응답에 영향을 미치는 변수들의 민감도분석)

  • Park, Jun-Hee;Choun, Young-Sun;Choi, In-Kil
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.24 no.4
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    • pp.391-398
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    • 2011
  • After a concrete is poured, reinforced concrete structures were distressed by physical and chemical factor over time. It is in need to define important variables related to structural behavior for effectively conducting seismic analysis of structures with age-related degradation. In this study, a sensibility analysis using the first-order second moment method was performed to analyze an important variables for the reinforced concrete shear wall with age-related degradation. Because the seismic capacity of aging structures without a concrete hardening effect can be underestimated, the sensibility of analysis variables was analyzed according to the concrete hardening. Important variables for RC shear wall with age-related degradation was presented by using the tornado diagram.

A Design Process for Structural Borne Noise using Panel Contribution and Design Sensitivity (판넬기여도와 설계민감도를 이용한 구조기인소음 설계프로세스)

  • Kim, Hyo-Sig;Kim, Heon-Hee;Cho, Hyo-Jin;Yoon, Seong-Ho
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.11a
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    • pp.806-811
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    • 2007
  • In this study, we propose a more systematic design process for the structure-borne noise. The proposed way consists of 4 steps: Problem definition, Cause analysis, Development of counter-measure and Validation. Especially, we improved the second step: Cause analysis. According to the PCA(Panel Contribution Analysis), a reduction in vibration of the panels of which panel contribution is positive and larger, results in a reduction in structure-borne noise. We have, however, met the case in which the concept of PCA is no valid in a few vehicle tests. In order to understand this phenomenon, we compared the major panels selected by PCA with the one chosen by DSA(Design Sensitivity Analysis). After investigating the difference between the two results, a more improved process is suggested. The proposed one for the second step in the design process consists of not only the previous way: PCA with deformation analysis results but also DSA. It is finally validated that the proposed design process decreases the sound pressure of the concerned noise transfer function more than 3.5 dB.

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Supply Chain Coordination in 2-Stage-Ordering-Production System with Update of Demand Information

  • Kusukawa, Etsuko
    • Industrial Engineering and Management Systems
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    • v.13 no.3
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    • pp.304-318
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    • 2014
  • It is necessary for a retailer to improve responsiveness to uncertain customer demand in product sales. In order to solve this problem, this paper discusses an optimal operation for a 2-stage-ordering-production system consisting of a retailer and a manufacturer. First, based on the demand information estimated at first order time $t_1$, the retailer determines the optimal initial order quantity $Q^*_1$, the optimal advertising cost $a^*_1$ and the optimal retail price $p^*_1$ of a single product at $t_1$, and then the manufacturer produces $Q^*_1$. Next, the retailer updates the demand information at second order time $t_2$. If the retailer finds that $Q^*_1$ dissatisfies the demand indicated by the demand information updated at $t_2$, the retailer determines the optimal second order quantity $Q^*_2$ under $Q^*_1$ and adjusts optimally the advertising cost and the retail price to $a^*_2$ and $p^*_2$ at $t_2$. Here, decision-making approaches for two situations are made-a decentralized supply chain (DSC) whose objective is to maximize the retailer's profit and an integrated supply chain (ISC) whose objective is to maximize the whole system's profit. In the numerical analysis, the results of the optimal decisions under DSC are compared with those under ISC. In addition, supply chain coordination is discussed to adjust the unit wholesale price at each order time as Nash Bargaining solutions.

Applicaion of Sensitivity Formulation to Analyze the Dynamic Response due to the Excitation Force for the Undamped Vibration of Cantilever Beam (외팔보의 비감쇠 진동시 가진력에 의한 동적 반응의 민감도 정식화 및 해석)

  • Yun, Seong-Ho
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.19 no.11
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    • pp.29-34
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    • 2020
  • In this study, a sensitivity formulation was applied to analyze the dynamic response due to the effect of the excitation force for the undamped vibration of the cantilever beam. The theoretically fundamental formulations were derived considering an eigenvalue problem and its modal analysis to govern the second order algebraic differential equation in terms of the change in the modal coordinate with respect to the design parameters. A representative physical quantity pertaining to the dynamic response, that is, the rate of change in the dynamic displacement, was observed by changing the design variables, such as the cross-sectional area of the beam. The numerical results were obtained at various locations, considering the application of the external forces and observation of the dynamic displacement. When the detection position was closer to the free end of the cantilever beam, the sensitivity of the dynamic displacement was higher, as predicted through the oscillating motion of the beam. The presented findings can provide guidance to compute the dynamic sensitivity for a flexibly connected structure under dynamic excitations.