• Title/Summary/Keyword: First- and second-order sensitivities

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

  • Kim, Yong-Yun
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.15 no.3
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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.

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

  • 이태원
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.11 no.3
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    • pp.36-41
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    • 1974
  • Two realigation procedures of any open-circuit transfer functions are presented through the use of genera1ized immitance converters composed of two operational amplifiers and passive elements. The fast precedure is to select the admittance conversion, h(s), to be k/s , and the second one to be k/s. The merit of the second procedure is the elimination of capacitors in passive networks, however, requires more CGIC's than the first. The second-order transfer function is realiged in the two methods under discussion to find that the sensitivity of Q factor and the undamped oscillation frequency to the variation of circuit elements. The first procedure proved to be favorable from the view point of sensitivities.

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

  • Kim, Soon-Tae
    • Journal of Korean Society for Atmospheric Environment
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    • v.27 no.6
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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.

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

  • Kim, Yong-Gu;Sim, Gwan-Sik;Song, Seong-Geun;Kim, Yeong-Hwan;Nam, Hae-Gon
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.49 no.5
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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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    • v.3 no.1
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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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ALGEBRAIC METHOD FOR COMPUTATION OF EIGENPAIR SENSITIVITIES OF DAMPED SYSTEMS WITH REPEATED EIGENVALUES (중복근을 갖는 감쇠 시스템의 고유진동수와 모드의 고차 민감도 해석)

  • Choi, Kang-Min;Ji, Han-Rok;Yoon, Woo-Hyun;Lee, In-Won
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.11a
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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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Evaluation and Analysis of Dynamic Characteristics in Tilt Actuator for High Density Optical Storage Devices (고밀도 광저장 기기용 틸트 액추에이터 동특성 분석 및 평가)

  • 김석중;이용훈;최한국
    • Journal of KSNVE
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    • v.10 no.4
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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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    • v.55 no.4
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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.

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

  • Son, Gye-Sung
    • Korean Journal of Clinical Laboratory Science
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    • v.37 no.1
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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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Optimal Design of Wind Turbine Tower Model Using Reliability-Based Design Optimization (신뢰성 기반 최적설계를 이용한 풍력 발전기 타워 최적 설계)

  • Park, Yong-Hui;Park, Hyun-Chul
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.38 no.5
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    • pp.575-584
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    • 2014
  • In this study, the NREL 5 MW wind turbine tower model was optimized according to the multi-body dynamics and reliability-based design. The mathematical model was defined as a link-joint system including dynamic characteristics derived from Timoshenko's beam theory. For the optimization problem, the sensitivities to variations in the tower thicknesses and inner and outer diameters were acquired and arranged in terms of safety and efficiency according to bending stress and buckling standards. An optimal design was calculated with the advanced first-order second moment method and used to define a finite element model for validation. The finite element model was simulated by static analysis. The relationship between the multi-body dynamic and finite element method throughout the process was investigated, and the optimal model, which had high endurance despite its low mass, was determined.