• 제목/요약/키워드: Approximate

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Efficient Mechanical System Optimization Using Two-Point Diagonal Quadratic Approximation in the Nonlinear Intervening Variable Space

  • Park, Dong-Hoon;Kim, Min-Soo;Kim, Jong-Rip;Jeon, Jae-Young
    • Journal of Mechanical Science and Technology
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    • 제15권9호
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    • pp.1257-1267
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    • 2001
  • For efficient mechanical system optimization, a new two-point approximation method is presented. Unlike the conventional two-point approximation methods such as TPEA, TANA, TANA-1, TANA-2 and TANA-3, this introduces the shifting level into each exponential intervening variable to avoid the lack of definition of the conventional exponential intervening variables due to zero-or negative-valued design variables. Then a new quadratic approximation whose Hessian matrix has only diagonal elements of different values is proposed in terms of these shifted exponential intervening variables. These diagonal elements are determined in a closed form that corrects the typical error in the approximate gradient of the TANA series due to the lack of definition of exponential type intervening variables and their incomplete second-order terms. Also, a correction coefficient is multiplied to the pre-determined quadratic term to match the value of approximate function with that of the previous point. Finally, in order to show the numerical performance of the proposed method, a sequential approximate optimizer is developed and applied to solve six typical design problems. These optimization results are compared with those of TANA-3. These comparisons show that the proposed method gives more efficient and reliable results than TANA-3.

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점탄성 감쇠기를 설치한 건물의 모드해석 (Modal Analysis of a Building with Viscoelastic Dampers)

  • 김진구;민경원
    • 전산구조공학
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    • 제11권1호
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    • pp.171-178
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    • 1998
  • 점탄성감쇠기가 장치된 건물은 감쇠력과 강성이 증가하며 부가되는 감쇠력에 의하여 비고전적 감쇠시스템이 된다. 이러한 경우 비감쇠시스템에서 구한 고유값을 이용하여 감쇠행렬을 대각행렬로 변환할 수 없으므로 일반적으로 운동방정식을 2n크기 행렬의 1차 미분방정식 형태로 변환하여 해석하게 된다. 이러한 방법은 일반적인 고전적 감쇠시스템에 비해 복잡하므로 감쇠행렬의 비대각항을 무시하고 해석하는 방법이 이용되기도 한다. 본 논문에서는 이러한 근사적인 방법의 타당성과 이론적 근거를 검증하고 정해와 근사해법을 이용하여 3층 전단건물의 진동특성을 구하여 비교하였다. 결과에 따르면 부가되는 감쇠력이 작을 때는 근사해와 정해가 매우 근접하나 감쇠력이 커질수록 그 오차가 커지는 것으로 나타났다.

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이점 대각 이차 근사화 기법을 적용한 최적설계 (Design Optimization Using Two-Point Diagonal Quadratic Approximation)

  • 최동훈;김민수;김종립;전재영
    • 대한기계학회논문집A
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    • 제25권9호
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    • pp.1423-1431
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    • 2001
  • Based on the exponential intervening variable, a new two-point approximation method is presented. This introduces the shifting level into each exponential intervening variable to avoid the lack of def inition of the conventional exponential intervening variables due to zero-or negative-valued design variables. Then a new quadratic approximation whose Hessian matrix has only diagonal elements of different values is proposed in terms of these intervening variables. These diagonal elements are determined in a closed form that corrects the typical error in the approximate gradient of the TANA series due to the lack of definition of exponential type intervening variables and their incomplete second-order terms. Also, a correction coefficient is multiplied to the pre-determined quadratic term to match the value of approximate function with that of the previous point. Finally, in order to show the numerical performance of the proposed method, a sequential approximate optimizer is developed and applied to solve six typical design problems. These optimization results are compared with those of TANA-3. These comparisons show that the proposed method gives more efficient and reliable results than TANA-3.

등단면 3경간 연속 곡선격자형교의 휨모멘트 근사해석에 관한 연구 (A Study on the Approximate Analysis of the Bending Moment for the Three-Span Continuous Curved Girder Bridges with Constant Cross Section)

  • 장병순;서상근;차기혁
    • 한국강구조학회 논문집
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    • 제11권2호통권39호
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    • pp.131-142
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    • 1999
  • 뒤틀림 효과를 고려한 곡선보의 일반적 거동은 Vlasov에 의해 제시된 미분 방정식으로 표시된다. 일반적으로 거더의 단면을 결정하는데 가장 큰 영향을 미치는 요인은 휨모멘트이다. 곡선 교량 계획시 곡선격자형교의 단면을 쉽게 가정하기 위해서 본 논문에서는 직선거더와 곡선거더의 휨모멘트비를 제시하였다. 이 비는 중심각 ${\theta}(L/R)$를 변수로 하여 근사식으로 나타내었다. 이 휨모멘트 근사식과 제시된 영향선은 3경간 곡선격자형교를 보다 쉽게 설계하는데 이용될 수 있다.

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추상화 정보 데이터베이스 기반 협력적 질의 응답 (Cooperative Query Answering Based on Abstraction Database)

  • 허순영;이정환
    • 한국경영과학회지
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    • 제24권1호
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    • pp.99-117
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    • 1999
  • Since query language is used as a handy tool to obtain information from a database, a more intelligent query answering system is needed to provide user-friendly and fault-tolerant human-machine Interface. Frequently, database users prefer less rigid querying structure, one which allows for vagueness in composing queries, and want the system to understand the intent behind a query. When there is no matching data available, users would rather receive approximate answers than a null information response. This paper presents a knowledge abstraction database that facilitates the development of such a fault-tolerant and intelligent database system. The proposed knowledge abstraction database adepts a multilevel knowledge representation scheme called the knowledge abstraction hierarchy(KAH), extracts semantic data relationships from the underlying database, and provides query transformation mechanisms using query generalization and specialization steps. In cooperation with the underlying database, the knowledge abstraction database accepts vague queries and allows users to pose approximate queries as well as conceptually abstract queries. Specifically. four types of vague queries are discussed, including approximate selection, approximate join, conceptual selection, and conceptual Join. A prototype system has been implemented at KAIST and is being tested with a personnel database system to demonstrate the usefulness and practicality of the knowledge abstraction database in ordinary database application systems.

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Approximate evaluations and simplified analyses of shear- mode piezoelectric modal effective electromechanical coupling

  • Benjeddou, Ayech
    • Advances in aircraft and spacecraft science
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    • 제2권3호
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    • pp.275-302
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    • 2015
  • Theoretical and numerical assessments of approximate evaluations and simplified analyses of piezoelectric structures transverse shear modal effective electromechanical coupling coefficient (EMCC) are presented. Therefore, the latter is first introduced theoretically and its approximate evaluations are reviewed; then, three-dimensional (3D) and simplified two-dimensional (2D) plane-strain (PStrain) and plane-stress (PStress) piezoelectric constitutive behaviors of electroded shear piezoceramic patches are derived and corresponding expected short-circuit (SC) and open-circuit (OC) frequencies and resulting EMCC are discussed; next, using a piezoceramic shear sandwich beam cantilever typical benchmark, a 3D finite element (FE) assessment of different evaluation techniques of the shear modal effective EMCC is conducted, including the equipotential (EP) constraints effect; finally, 2D PStrain and PStress FE modal analyses under SC and OC electric conditions, are conducted and corresponding results (SC/OC frequencies and resulting effective EMCC) are compared to 3D ones. It is found that: (i) physical EP constraints reduce drastically the shear modal effective EMCC; (ii) PStress and PStrain results depend strongly on the filling foam stiffness, rendering inadequate the use of popular equivalent single layer models for the transverse shear-mode sandwich configuration; (iii) in contrary to results of piezoelectric shunted damping and energy harvesting popular single-degree-of-freedom-based models, transverse shear modal effective EMCC values are very small in particular for the first mode which is the common target of these applications.

PSC BEAM 교량 공사비 영향요인을 이용한 개략공사비 산정모델 개발 (Approximate Estimating Model for PSC BEAM Bridge Using Influence Factors)

  • 강찬성;임원석;김경민;김경주
    • 한국건설관리학회:학술대회논문집
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    • 한국건설관리학회 2007년도 정기학술발표대회 논문집
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    • pp.585-588
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    • 2007
  • 대규모 재원이 투입되는 건설공사의 공사비를 합리적인 방법으로 적정하게 예측하는 것은 사업비 관리 측면에서 필수적이나 국내의 경우, 선진국과 비교하여 상대적으로 공사비 예측 기술이 미흡한 수준으로 사업비 관리를 체계적으로 수행하기에는 미비한 실정이다. 본 연구에서는, 개략공사비 산정모델 개발의 기본방향을 설정하고, 기획 ${\cdot}$ 설계 단계에 대한 개략공사비 산정 모델의 신뢰도 향상을 위한 검증과 데이터 추가분석을 수행하고자 한다. 공사비 예측기술 개발과 사업비 관리 인프라 기반조성을 통하여 건설공사의 품질을 확보하면서 예산 낭비 방지와 국가재원의 효율적 집행이 가능하며, 사업비 관리기술의 경쟁력을 강화하여 건설 산업의 수익성을 재고할 수 있을 것이다.

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단순지지 사각 접수 평판의 방사효율 근사식에 관한 연구 (A Study on the Approximate Formula for Radiation Efficiency of a Simply Supported Rectangular Plate in Water)

  • 김현실;김재승;김봉기;김상렬
    • 한국소음진동공학회논문집
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    • 제24권1호
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    • pp.21-27
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    • 2014
  • In this paper, an approximate formula for radiation efficiency of the plate surround by an infinite rigid baffle is studied. The plate is simply supported and one side is in contact with air, while other side with water. By assuming an infinite plate, the fluid loading effect is derived in terms of an effective mass. Based on the observation that the fluid loading effect decreases as frequency increases, the radiation efficiency formula at high frequency, which was originally derived for a plate vibrating in the air, is modified as the approximate formula for a submerged plate. The fluid loading effect is taken into account in the wavenumber of the plate. Comparisons of the approximate formula with the numerical results shows that they match well except the mid-frequency range in which numerical results show many oscillations. In numerically solving the fully coupled equations of motion, fourfold integrals of the impedance coefficients are reduced to single nonsingular integrals, which results in substantial reduction in computing time.

개념 설계 단계에서 인공 신경망과 통계적 분석을 이용한 제품군의 근사적 전과정 평가 (Approximate Life Cycle Assessment of Classified Products using Artificial Neural Network and Statistical Analysis in Conceptual Product Design)

  • 박지형;서광규
    • 한국정밀공학회지
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    • 제20권3호
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    • pp.221-229
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    • 2003
  • In the early phases of the product life cycle, Life Cycle Assessment (LCA) is recently used to support the decision-making fer the conceptual product design and the best alternative can be selected based on its estimated LCA and its benefits. Both the lack of detailed information and time for a full LCA fur a various range of design concepts need the new approach fer the environmental analysis. This paper suggests a novel approximate LCA methodology for the conceptual design stage by grouping products according to their environmental characteristics and by mapping product attributes into impact driver index. The relationship is statistically verified by exploring the correlation between total impact indicator and energy impact category. Then a neural network approach is developed to predict an approximate LCA of grouping products in conceptual design. Trained learning algorithms for the known characteristics of existing products will quickly give the result of LCA for new design products. The training is generalized by using product attributes for an ID in a group as well as another product attributes for another IDs in other groups. The neural network model with back propagation algorithm is used and the results are compared with those of multiple regression analysis. The proposed approach does not replace the full LCA but it would give some useful guidelines fer the design of environmentally conscious products in conceptual design phase.

차량 현가 부품의 근사 다목적 설계 최적화에 대한 메타모델 영향도 (Meta-model Effects on Approximate Multi-objective Design Optimization of Vehicle Suspension Components)

  • 송창용;최하영;변성광
    • 한국기계가공학회지
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    • 제18권3호
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    • pp.74-81
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    • 2019
  • Herein, we performed a comparative study on approximate multi-objective design optimization, to realize a structural design to improve the weight and vibration performances of the knuckle - a car suspension component - considering various load conditions and vibration characteristics. In the approximate multi-objective optimization process, a regression meta-model was generated using the response surfaces method (RSM), while Kriging and back-propagation neural network (BPN) methods were applied for interpolation meta-modeling. The Pareto solutions, multi-objective optimal solutions, were derived using the non-dominated sorting genetic algorithm (NSGA-II). In terms of the knuckle design considered in this study, the characteristics and influence of the meta-model on multi-objective optimization were reviewed through a comparison of the approximate optimization results with the meta-models and the actual optimization.