• Title/Summary/Keyword: Numerical differentiation

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Multi-Objective Optimization of Multistory Shear Building Under Seismic Loads (지진하중을 받는 다층 뼈대구조물의 다목적 최적설계)

  • 조효남;민대홍;정봉교
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2002.10a
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    • pp.255-262
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    • 2002
  • In this paper, an improved multi-objective optimmum design method is proposed. And it is applied to steel frames under seismic loads. The multi-objective optimization problem is formulated with three optimality criteria, namely, minimum structural weight and maximum strain energy and stability. The Pareto curve can be obtained by performing the multi-objective optimization for multistory shear buildings. In order to efficiently solve the multi-objective optimization problem the decomposition method that separates both system-level and element-level is used. In addition, various techniques such as effective reanalysis technique with respect to intermediate variables and sensitivity analysis using an automatic differentiation (AD) we incorporated. Moreover, the relationship function among section properties induced from the profile is used in order to link system-level and element level. From the results of numerical investigation, it may be stated that the proposed method will lead to the more rational design compared with the conventional one.

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Case Report of Chronic Fatigue Syndrome Treated with Salt-Indirect Moxibustion

  • Son, Chang-Gue
    • The Journal of Korean Medicine
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    • v.33 no.4
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    • pp.81-85
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    • 2012
  • Objectives: To describe a clinical case of a patient with chronic fatigue syndrome (CFS) who was cured using indirect moxibustion. Methods: A male patient with severe CFS was treated with mainly indirect moxibustion (KI1, CV4 and CV8). The clinical outcome was observed by self-reporting, both visual analogue scale (VAS) and numerical rating scale (NRS). Results: The patient's symptoms matched the criteria for CFS diagnosis. His symptom differentiation was the "Yang deficiency of spleen and kidney". The fatigue feeling and related-symptoms were radically reduced by 14-day treatment. The VAS and NRS score changed from 8.5 and 70 to 3.5 and 35, respectively. Conclusions: This case report provides information on the potential of moxibustion therapy and its application for CFS and fatigue-associated disorders.

A Formulation of Iterative Eigenvalue Analysis Algorithm to the Second Order Newton Raphson Method (반복계산에 의한 고유치 해석 알고리즘의 2차 뉴튼랩슨법으로의 정식화)

  • Kim, Deok-Yeong
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.51 no.3
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    • pp.127-133
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    • 2002
  • This paper presents an efficient improvement of the iterative eigenvalue calculation method of the AESOPS algorithm. The intuitively and heuristically approximated iterative eigenvalue calculation method of the AESOPS algorithm is transformed to the Second Order Newton Raphson Method which is generally used in numerical analysis. The equations of second order partial differentiation of external torque, terminal and internal voltages are derived from the original AESOPS algorithm. Therefore only a few calculation steps are added to transform the intuitively and heuristically approximated AESOPS algorithm to the Second Order Newton Raphson Method, while the merits of original algorithm are still preserved.

Flux Linkages Ratio-Based Transformer Protection (쇄교자속비를 이용한 변압기 보호)

  • 강용철;이병은;김은숙;원성호
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.52 no.11
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    • pp.655-660
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    • 2003
  • This paper describes a transformer protective relaying algorithm based on the ratio of increments of flux linkages (RIFL) of the primary and secondary windings. The algorithm uses integration approximation. The RIFL is equal to the turns ratio for all operating conditions except for an internal fault. For a single-phase transformer and a Y-Y transformer, the increments of flux linkages (IFL) are calculated. For a Y-$\Delta$ transformer, the difference of IFL are calculated to use the line currents rather than the delta winding currents, which are unavailable. Their ratios are compared with the turns ratio. The comparative study between the proposed and conventional differentiation approximation methods was conducted. The test results show that the algorithm reduces the approximation errors of the conventional methods.

Reliability-Based Optimization using Sensitivity Analysis of Reliability Index (신뢰성 지수의 민감도 해석을 이용한 신뢰성에 기초한 최적설계)

  • 조효남;민대홍;권우성
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2000.10a
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    • pp.101-108
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    • 2000
  • An optimum design algorithm using efficient reanalysis is proposed for reliability-based optimization problems formulated as the minimization of initial cost and expected failure cost with reliability constraints. The reliability-based optimization is high cost to evaluate objective function and constraints needed reliability analysis. Therefore the sensitivity analysis of reliability index for approximated reanalysis is necessary. In this paper, three solution approaches are suggested and tested. The approaches include : (1) sensitivity analysis using finite difference; (2) sensitivity analysis using automatic differentiation (AD); and (3) sensitivity analysis with respect to intermediate variables using AD. Numerical example is optimized to show the reliability and effectiveness of the new algorithm.

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BARRIER OPTIONS UNDER THE MFBM WITH JUMPS : APPLICATION OF THE BDF2 METHOD

  • Choi, Heungsu;Lee, Younhee
    • Journal of the Chungcheong Mathematical Society
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    • v.33 no.1
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    • pp.165-171
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    • 2020
  • In this paper we consider a mixed fractional Brownian motion (mfBm) with jumps. The prices of European barrier options can be evaluated by solving a partial integro-differential equation (PIDE) with variable coefficients, which is derived from the mfBm with jumps. The 2-step backward differentiation formula (BDF2 method) proposed in [6] is applied with the second-order convergence rate in the time and spatial variables. Numerical simulations are carried out to observe the convergence behaviors of the BDF2 method under the mfBm with the Kou model.

The study of advanced numerical differentiation for obtaining the electron energy distribution function (전자 에너지 분포 함수 측정을 위한 I V특성 곡선의 확률 밀도 함수를 이용한 Smoothing method)

  • Jang, Sung-Ho;Chung, Chin-Wook
    • Proceedings of the KIEE Conference
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    • 2005.07c
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    • pp.2082-2084
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    • 2005
  • I-V 특성 곡선의 2차 미분을 통해서 얻어지는 전자 에너지 분포 함수를 정확하게 구하기 위해서는 스무딩 과정이 반드시 필요하다. 대표적인 스무딩 방법으로 가우시안 확률 밀도 함수를 instrument함수로 이용하는 가우시안 스무딩이 있다. 본 연구에서는 시스템에 따라서 instrument함수가 다르다는 점에 착안하여, 여러 가지 다른 종류의 확률 밀도 함수를 instrument함수로 사용 스무딩에 적용하여 확률 밀도 함수에 따른 노이즈 제거 및 전자 에너지 분포 함수의 정확도를 비교하였고. 동시에 대표적인 범용 스무딩 방법인 사비츠키-골래이 스무딩, Polynomial fitting과도 그 결과를 비교 분석하였다.

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Static Control of Boolean Networks Using Semi-Tensor Product Operation (Semi-Tensor Product 연산을 이용한 불리언 네트워크의 정적 제어)

  • Park, Ji Suk;Yang, Jung-Min
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.66 no.1
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    • pp.137-143
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    • 2017
  • In this paper, we investigate static control of Boolean networks described in the framework of semi-tensor product (STP) operation. The control objective is to determine control input nodes and their logical values so as to stabilize the considered Boolean network to a desired fixed point or cycle. Using topology of Boolean networks such as incidence matrix and hub nodes, a set of appropriate control input nodes is selected, and based on STP operations, we assign constant control inputs so that the controlled network can converge to a prescribed fixed point or cycle. To validate applicability of the proposed scheme, we conduct a numerical study on the problem of determining control input nodes for a Boolean network representing hierarchical differentiation of myeloid progenitors.

An Improved Multi-level Optimization Algorithm for Orthotropic Steel Deck Bridges (강바닥판교의 개선된 다단계 최적설계 알고리즘)

  • 조효남;이광민;최영민;김정호
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.16 no.3
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    • pp.237-250
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    • 2003
  • Since an orthotropic steel deck bridge has large number of design variables and shows complex structural behavior, it would be very difficult and impractical to directly use a Conventional Single Level (CSL) optimization algorithm for its optimum design. Thus, in this paper, an Improved Multi Level Design Synthesis (IMLDS) optimization algorithm is proposed to improve the computational efficiency. In the proposed IMLDS algorithm, a coordination method is introduced to divide the bridge into main girders and orthotropic steel deck with preserving the characteristics of the structural behavior. For an efficient optimization of the bridge, the IMLDS algorithm incorporates the various crucial approximation techniques such as constraints deletion, Automatic Differentiation (AD), stress reanalysis, and etc. In the case of orthotropic steel deck system, optimum design problems are characterized by mixed continuous discrete variables and discontinuous design space. Thus, a modified Genetic Algorithm (GA) is also applied to optimize discrete member design for orthotropic steel deck. From the numerical example, the efficiency and convergency of the IMLDS algorithm proposed in this paper is investigated. It may be positively stated that the IMLDS algorithm will lead to more effective and practical design compared with previous algorithms.

Comparison of Diagnostic Accuracy and Prediction Rate for between two Syndrome Differentiation Diagnosis Models (중풍 변증 모델에 의한 진단 정확률과 예측률 비교)

  • Kang, Byoung-Kab;Cha, Min-Ho;Lee, Jung-Sup;Kim, No-Soo;Choi, Sun-Mi;Oh, Dal-Seok;Kim, So-Yeon;Ko, Mi-Mi;Kim, Jeong-Cheol;Bang, Ok-Sun
    • Journal of Physiology & Pathology in Korean Medicine
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    • v.23 no.5
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    • pp.938-941
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    • 2009
  • In spite of abundant clinical resources of stroke patients, the objective and logical data analyses or diagnostic systems were not established in oriental medicine. In the present study we tried to develop the statistical diagnostic tool discriminating the subtypes of oriental medicine diagnostic system, syndrome differentiation (SD). Discriminant analysis was carried out using clinical data collected from 1,478 stroke patients with the same subtypes diagnosed identically by two clinical experts with more than 3 year experiences. Numerical discriminant models were constructed using important 61 symptom and syndrome indices. Diagnostic accuracy and prediction rate of 5 SD subtypes: The overall diagnostic accuracy of 5 SD subtypes using 61 indices was 74.22%. According to subtypes, the diagnostic accuracy of "phlegm-dampness" was highest (82.84%), and followed by "qi-deficiency", "fire/heat", "static blood", and "yin-deficiency". On the other hand, the overall prediction rate was 67.12% and that of qi-deficiency was highest (73.75%). Diagnostic accuracy and prediction rate of 4 SD subtypes: The overall diagnostic accuracy and prediction rate of 4 SD subtypes except "static blood" were 75.06% and 71.63%, respectively. According to subtypes, the diagnostic accuracy and prediction rate was highest in the "phlegm-dampness" (82.84%) and qi-deficiency (81.69%), respectively. The statistical discriminant model of constructed using 4 SD subtypes, and 61 indices can be used in the field of oriental medicine contributing to the objectification of SD.