• 제목/요약/키워드: First- and second-order sensitivities

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유한요소 구조 인자의 2차 민감도에 의한 동적 구조 최적화 (Structural Dynamics Optimization by Second Order Sensitivity with respect to Finite Element Parameter)

  • 김용연
    • 한국공작기계학회논문집
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    • 제15권3호
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    • pp.8-16
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    • 2006
  • This paper discusses design sensitivity analysis and its application to a structural dynamics modification. Eigenvalue derivatives are determined with respect to the element parameters, which include intrinsic property parameters such as Young's modulus, density of the material, diameter of a beam element, thickness of a plate element, and shape parameters. Derivatives of stiffness and mass matrices are directly calculated by derivatives of element matrices. The first and the second order derivatives of the eigenvalues are then mathematically derived from a dynamic equation of motion of FEM model. The calculation of the second order eigenvalue derivative requires the sensitivity of its corresponding eigenvector, which are developed by Nelson's direct approach. The modified eigenvalue of the structure is then evaluated by the Taylor series expansion with the first and the second derivatives of eigenvalue. Numerical examples for simple beam and plate are presented. First, eigenvalues of the structural system are numerically calculated. Second, the sensitivities of eigenvalues are then evaluated with respect to the element intrinsic parameters. The most effective parameter is determined by comparing sensitivities. Finally, we predict the modified eigenvalue by Taylor series expansion with the derivatives of eigenvalue for single parameter or multi parameters. The examples illustrate the effectiveness of the eigenvalue sensitivity analysis for the optimization of the structures.

전류변환 GIC에 의한 전달함수실현방식 (Realiztion of Transfer functions Unsing Current cnversion GIC's)

  • 이태원
    • 대한전자공학회논문지
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    • 제11권3호
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    • pp.36-41
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    • 1974
  • 임의의 차수의 전진함수의 실현에 전류변환 GIC를 쓰는데 고 admittance변환함수 h(s)가 k/s 되게 하는 경우와 k/s가 되게 하늘 경우와 두가지에 대해서 실현방법을 제시하였다. h(s)=k/s의 방법이 수동회로망에 Capacitor를 표구하지 않은 이점이 있으나 필요한 GIC의 개수가 h(s)=k/s의 경우보다 많아진다. 제시된 두가지 방법으로 2차의 부원함수를 실현하였고 회로소자의 Q와 발진주파수에 대한 Sensitivity를 조사하여 h(s)=k/s 의 방식이 비교적으로 유리함을 밝혔다.

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자연배출량이 수도권 고농도 오존 사례에 미치는 영향범위 추정: 2004년과 2007년 6월 사례를 중심으로 (Estimating Influence of Biogenic Volatile Organic Compounds on High Ozone Concentrations over the Seoul Metropolitan Area during Two Episodes in 2004 and 2007 June)

  • 김순태
    • 한국대기환경학회지
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    • 제27권6호
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    • pp.751-771
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    • 2011
  • Biogenic Volatile Organic Compound (BVOC) emissions are estimated with BEIS3.12 (Biogenic Emissions Inventory System version 3.12) over the Seoul Metropolitan Area (SMA) and then used in CMAQ (Community Multiscale Air Quality) simulations for two high ozone episodes in 2004 and 2007 June. The first- and second-order sensitivity coefficients of ozone to BVOC emissions are estimated with High-order Decoupled Direct Method (HDDM) simulation in order to estimate the influence of BVOC emissions on ozone using the Zero-Out Contribution (ZOC) approach. ZOC analysis shows that relative contribution of BVOC emissions on daily maximum 1-hr ozone is as high as 30% for high ozone days above 100 ppb. However simulated isoprene concentrations were over-estimated by a factor of 2 when compared to the observations at the PAMS (Photochemical Air Monitoring Station) for the 2007 episode. When assumed that actual BVOC emissions are 50% less than estimated, the ZOC of BVOC emissions on daily maximum ozone drops by more than 10 ppb for the episode. The result indicates that uncertainty in BVOC emissions may have significant impact on high ozone prediction in the SMA.

TCSC의 $H_{\infty}$ 제어에 의한 대규모 전력계통의 지역간 저주파진동 억제 PartI : 설치지점 선정 (Damping Inter-area Low Frequency Oscillations in Large Power Systems with $H_{\infty}$ Control of TCSC PARTI : TCSC Siting)

  • 김용구;심관식;송성근;김영환;남해곤
    • 대한전기학회논문지:전력기술부문A
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    • 제49권5호
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    • pp.226-232
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    • 2000
  • This paper presents application results of the augmented matrix eigen-sensitivity theories to TCSC siting problem for damping the inter-area low frequency oscillation in the large KEPCO system. First and second-order eigen-sensitivities of the inter-area low frequency oscillation in the large KEPCO system. First and second-order eigen-sensitivities of the inter-area mode are computed fro changes in susceptance of the transmission lines. The lines having high sensitivity are chosen as the initial candidates for installing TCSC. Then for each of the chosen candidates, Bodeplot of the transfer function with line susceptance as the input and the bus voltage at one side of the line as the output is computed. Using the Bode plots, the lines having any zeros near the inter-area mode are screened out since design of TCSC controller is very difficult in such a case. The $H_{\infty}$ TCSC controller installed at any finally chosen candidate is found to be effective in damping the inter-area oscillation, and the proposed TCSC siting algorithm is proved to be valid. Design of $H_{\infty}$ controller is described in Part IIof this paper.

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THE SENSITIVITY OF STRUCTURAL RESPONSE USING FINITE ELEMENTS IN TIME

  • Park, Sungho;Kim, Seung-Jo
    • Journal of Theoretical and Applied Mechanics
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    • 제3권1호
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    • pp.66-80
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    • 2002
  • The bilinear formulation proposed earlier by Peters and Izadpanah to develop finite elements in time to solve undamped linear systems, Is extended (and found to be readily amenable) to develop time finite elements to obtain transient responses of both linear and nonlinear, and damped and undamped systems. The formulation Is used in the h-, p- and hp-versions. The resulting linear and nonlinear algebraic equations are differentiated to obtain the first- and second-order sensitivities of the transient response with respect to various system parameters. The present developments were tested on a series of linear and nonlinear examples and were found to yield, when compared with results obtained using other methods, excellent results for both the transient response and Its sensitivity to system parameters. Mostly. the results were obtained using the Legendre polynomials as basis functions, though. in some cases other orthogonal polynomials namely. the Hermite. the Chebyshev, and integrated Legendre polynomials were also employed (but to no great advantage). A key advantage of the time finite element method, and the one often overlooked in its past applications, is the ease In which the sensitivity of the transient response with respect to various system parameters can be obtained. The results of sensitivity analysis can be used for approximate schemes for efficient solution of design optimization problems. Also. the results can be applied to gradient-based parameter identification schemes.

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중복근을 갖는 감쇠 시스템의 고유진동수와 모드의 고차 민감도 해석 (ALGEBRAIC METHOD FOR COMPUTATION OF EIGENPAIR SENSITIVITIES OF DAMPED SYSTEMS WITH REPEATED EIGENVALUES)

  • 최강민;지한록;윤우현;이인원
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2004년도 추계학술대회논문집
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    • pp.721-726
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    • 2004
  • A simplified method for the computation of first second and higher order derivatives of eigenvalues and eigenvectors derivatives associated with repeated eigenvalues is presented. Adjacent eigenvectors and orthonormal conditions are used to compose an algebraic equation whose order is (n+m)x(n+m), where n is the number of coordinates and m is the number of multiplicity of the repeated eigenvalues. The algebraic equation developed can be used to compute derivatives of both eigenvalues and eigenvectors simultaneously. Since the coefficient matrix in the proposed algebraic equation is non-singular, symmetric and based on N-space it is numerically stable and very efficient compared to previous methods. This method can be consistently applied to structural systems with structural design parameters and mechanical systems with lumped design parameters. To verify the effectiveness of the proposed method, the finite element model of the cantilever beam is considered.

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고밀도 광저장 기기용 틸트 액추에이터 동특성 분석 및 평가 (Evaluation and Analysis of Dynamic Characteristics in Tilt Actuator for High Density Optical Storage Devices)

  • 김석중;이용훈;최한국
    • 소음진동
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    • 제10권4호
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    • pp.584-595
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    • 2000
  • We design a new actuator for high density optical device in order to control the radial tilting motion. The newly designed actuator makes it possible to control the tilting motion actively, while the coventional actuator compress tilting motion with passive spring. First of all, We present 3-dimensional modeling of actuator and accomplish the modal analysis and magnetic analysis of actuator. Due to these results, a new designed actuator has performance of high sensitivity and high second resonance frequency. Secondly, We present the 3-DOF dynamic modeling of the 4-wire spring type actuator. sensitivity analysis is performed to consider the assembling error, such as the difference of mass center and force center. From these results, the sensitivities of rotation due to the assembly error are revealed and design criteria of rotation is presented. And experimental results of a newly designed actuator are presented and compared with theoretical results. Finally, We propose a dynamic tilt compensation and high acceleration actuator for high density optical storage devices.

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BEPU analysis of a CANDU LBLOCA RD-14M experiment using RELAP/SCDAPSIM

  • A.K. Trivedi;D.R. Novog
    • Nuclear Engineering and Technology
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    • 제55권4호
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    • pp.1448-1459
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    • 2023
  • A key element of the safety analysis is Loss of Coolant Analysis (LOCA) which must be performed using system thermal-hydraulic codes. These codes are extensively validated against separate effect and integral experiments. RELAP/SCDAPSIM is one such code that may be used to predict LBLOCA response in a CANDU reactor. The RD-14M experiment selected for the Best Estimate Plus Uncertainty study is a 44 mm (22.7%) inlet header break test with no Emergency Coolant Injection. This work has two objectives first is to simulate pipe break with RELAP and compare these results to those available from experiment and from comparable TRACE calculations. The second objective is to quantify uncertainty in the fuel element sheath (FES) temperature arising from model coefficient as well as input parameter uncertainties using Integrated Uncertainty Analysis package. RELAP calculated results are found to be in good agreement with those of TRACE and with those of experiments. The base case maximum FES temperature is 335.5 ℃ while that of 95% confidence 95th percentile is 407.41 ℃ for the first order Wilk's formula. The experimental measurements fall within the predicted band and the trends and sensitivities are similar to those reported for the TRACE code.

알코올성 간 질환 환자의 Carbohydrate Deficient Transferrin의 임상적 유용성 연구 (A Study of Clinical Usefulness of Carbohydrate Deficient Transferrin in Patients with Alcoholic Liver Disease)

  • 손계성
    • 대한임상검사과학회지
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    • 제37권1호
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    • pp.8-15
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    • 2005
  • It is well known that intaking alcohol chronically and heavily causes many formsof physical systemic distress including serious chronic alcoholic liver disease such as alcoholic hepatitis, fatty liver, liver cirrhosis and hepatoma. Carbohydrate-deficient transferrin (CDT) is known as a specific marker in detecting and monitoring alcohol associated disease. Weanalyzed various alcohol-associated parameters to evaluate the clinical usefulness of CDT. The first patient group consisted of fifty patients, who had been diagnosed with alcoholic liver disease from January 2003 to June 2004 at Chungnam National University Hospital. The second group consisted of 12 patients with non-alcoholic liver disease. The third group consisted of 19 teetotalerswho had visited the hospital for the purpose of routine healthcare checks. Various hepatic parameters such as CDT, $\small{\Gamma}$-GT (gamma-glutamyl transferase), AST (aspartate aminotransferase) and ALT (alanine aminotransferase) were compared in the three groups. CDT and AST increased in direct proportion to the amount and duration of alcohol consumption with high significance, but $\small{\Gamma}$-GT and ALT showed arbitrary patterns with no statistical significance. The sensitivities of CDT, $\small{\Gamma}$-GT, AST and ALT were 74 %, 96 %, 68 % and 58 %, respectively and the specificities were 95 %, 74 %, 68 % and 79 % in order respectively. The correlation study of CDT with $\small{\Gamma}$-GT, AST and ALT showed a very low value of correlation coefficients, implying that CDT could be taken as an independent parameter in evaluating alcohol liver disease compared to $\small{\Gamma}$-GT, AST and ALT. This present study suggested that CDT coud be one of the most useful parameters in reflecting the amount and duration of alcohol consumption as well as being another independent parameter in assessing and following up patients with alcoholic liver disease. Moreover we recommend it is the best method of measuring both CDT and $\small{\Gamma}$-GT in patients with alcoholic liver disease.

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신뢰성 기반 최적설계를 이용한 풍력 발전기 타워 최적 설계 (Optimal Design of Wind Turbine Tower Model Using Reliability-Based Design Optimization)

  • 박용희;박현철
    • 대한기계학회논문집A
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    • 제38권5호
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    • pp.575-584
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    • 2014
  • 본 연구에서는 NREL 5MW 풍력발전기 타워 설계 모델을 다물체 동역학과 신뢰성 기반 최적 설계를 이용하여 최적화하는 연구를 수행하였다. 타워 모델은 티모센코 빔 이론을 이용하여 얻은 동특성을 내포한 링크와 조인트로 이루어진 수학적 모델로 표현하였다. 최적화 문제에서는 높이가 일정한 타워에서 두께, 내 외곽 지름이 변할 때 나타나는 민감도 변화를 비교하여 결과를 도출하였으며, 비교 기준으로 굽힘 응력과 좌굴 안정성을 사용하였다. 일계 이차 모멘트법을 이용한 최적화 알고리즘에서 얻은 최종 모델은 유한요소법을 이용한 정하중 해석에서 최대 응력 분포를 이용한 안전성을 고려를 통해 유효성을 검증하였다. 본 연구 방법을 통해 동역학적 모델과 유한요소 모델간의 연계성을 확인하고, 낮은 타워 설치 비용으로 더 강건한 시스템을 구축할 수 있는 설계 방향을 제시하였다.