• 제목/요약/키워드: Quadratic form

검색결과 276건 처리시간 0.026초

축대칭 문제에서의 동적 응력확대계수의 계산 (Numerical Computation of Dynamic Stress Intensity Factors in Axisymmetric Problems)

  • 이성희;심우진
    • 한국전산구조공학회논문집
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    • 제16권2호
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    • pp.207-216
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    • 2003
  • 본 논문에서는 균열을 지닌 축대칭 문제를 해석하기 위하여 시간적분형 운동방정식을 바탕으로 한 유한요소 해법을 제시한다. 유한요소메쉬는 8절점 등매개변수 사변형 요소와 균열선단에서의 1/4절점 삼각형 특이요소로 구성되며, 동적 응력확대계수는 균열면상의 1/4절점의 y방향 변위로부터 구한다. 제시된 해법의 정확성과 타당성을 검증하기 위하여 내부에 원환균열을 지닌 무한 탄성체가 균열면상에서 충격하중을 받을 때의 동적 응력확대계수를 계산하고 타 수치결과와 비교 검토하였다. 응용 예제로서 원환균열과 원주균열을 지닌 중실축과 중공축의 동적 응력확대계수를 균열의 길이와 축의 길이에 따른 영향을 자세히 조사하였다. 균열길이가 커지면 동적 응력확대계수가 커지고, 축의 길이가 길어지면 동적 응력확대계수 곡선의 폭도 함께 증가됨을 확인하였다. 그리고 균열의 위치가 안쪽에 포함될 경우보다는 바깥쪽에 포함될 때 더 큰 동적 응력확대계수가 발생됨을 밝힌다.

드래그 감소를 위한 유체의 최적 엑티브 제어 및 최적화 알고리즘의 개발(2) - 개발된 기법의 검증 및 드래그 감소를 위한 유체의 최적 액티브 제어 (Optimal Active-Control & Development of Optimization Algorithm for Reduction of Drag in Flow Problems(2) - Verification of Developed Methodologies and Optimal Active-Control of Flow for Drag Reduction)

  • 박재형
    • 한국전산구조공학회논문집
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    • 제20권5호
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    • pp.671-680
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    • 2007
  • 본 연구의 최종 목적은 유체가 빠른 속도로 가해지는 물체의 경계면에서 흡입(suction) 혹은 방출(injection)을 통해 유체를 제어함으로 드래그(drag)를 감소하고자 하는 것이다. 그러나 유체는 대용량, 비선형성을 가지고 있어서 직접적인 해석은 물론, 최적화를 적용한다는 것은 매우 어려운 일이다. 이를 위해 우리는 새로운 알고리즘과 기법들을 개발하였다. 본 연구에서는 이 기법들에 대한 검증을 하고, 나아가 최적화 기법을 사용하여 드래그를 감소하기 위해 흡입량과 방출량을 구하였다. 그리고 이 흡입과 방출을 가할 수 있는 구멍의 수와 위치에 따른 변화를 알아보았다. 본 연구에서 개발된 알고리즘과 기법들을 사용하였을 경우, 기존에는 해결 할 수도 없었던 문제를 가능하게 만들었으며, 기존에 저자가 1차로 개발한 바 있는 방법에 비해서도 더욱 효과적이라는 것을 입증하였다. 그리고 드래그 감소라는 차원에서 본다면 흡입과 방출을 가할 수 있는 구멍의 숫자가 많을수록 효과가 높으나 그다지 많은 수를 필요로 하지 않는다는 것을 알게 되었으며, 구멍의 위치는 유체의 경계층이 분리되는 약간 아래가 가장 최적의 위치라는 것을 알게 되었다.

실용적인 혼합물 성분 공정변수 실험설계 (Practical designs for mixture component-process experiments)

  • 임용빈
    • 품질경영학회지
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    • 제39권3호
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    • pp.400-411
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    • 2011
  • Process variables are factors in an experiment that are not mixture components but could affect the blending properties of the mixture ingredients. For example, the effectiveness of an etching solution which is measured as an etch rate is not only a function of the proportions of the three acids that are combined to form the mixture, but also depends on the temperature of the solution and the agitation rate. Efficient designs for the mixture components-process variables experiments depend on the mixture components-process variables model which is called a combined model. We often use the product model between the canonical polynomial model for the mixture and process variables model as a combined model. In this paper we propose three starting models for the mixture components-process variables experiments. One of the starting model we are considering is the model which includes product terms up to cubic order interactions between mixture effects and the linear & pure quadratic effect of the process variables from the product model. In this paper, we propose a method for finding robust designs and practical designs with respect to D-, G-, and I-optimality for the various starting combined models and then, we find practically efficient and robust designs for estimating the regression coefficients for those models. We find the prediction capability of those recommended designs in the case of three components and three process variables to be good by checking FDS(Fraction of Design Space) plots.

사각판재형 강재의 자기특성측정 (B-H Loop Measurement of a High Tensile Steel Plate)

  • 김영학;김기찬;신광호;김휘석;윤관섭;양창섭
    • 한국자기학회지
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    • 제20권3호
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    • pp.94-99
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    • 2010
  • 사각판재형 강재의 마이너 B-H 곡선은 Labview프로그램과 측정 장치를 이용하여 공극 보정과 함께, B-H 곡선의 측정을 바탕으로 3차원 유한요소법으로 구하였다. 측정방법은 1차, 2차 권선이 감긴 고투자율의 페라이트 자심을 철판 위에 두고 폐자로를 구성한 후, 페라이트 자심의 자계와 자속밀도 측정을 바탕으로 하는 것이다. 이 때, 자심과 철판 사이의 미세한 공극의 영향은 최소자승법의 2차 다항식으로 보정하였다. 해석방법은 측정된 기자력과 자속밀도를 해석치와 비교하는 방법을 이용하였다. 이 측정방법은 고장력 강판의 자기저항이 페라이트 자심의 자기저항보다 커다는 가정 하에서는 이용될 수 있다. 그러나 페라이트 자심의 자속밀도가 포화에 가까워지게 되면 페라이트 자심의 투자율이 감소하게 되므로 높은 자속밀도에서 B-H 루프를 정확하게 측정할 수 없었다. 따라서 본 실험에서는 자계가 약 520 A/m, 자속밀도가 0.15 T의 범위에서 사각판재형 강재의 B-H 곡선을 구할 수 있었다.

Analytical and higher order finite element hybrid approach for an efficient simulation of ultrasonic guided waves I: 2D-analysis

  • Vivar-Perez, Juan M.;Duczek, Sascha;Gabbert, Ulrich
    • Smart Structures and Systems
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    • 제13권4호
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    • pp.587-614
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    • 2014
  • In recent years the interest in online monitoring of lightweight structures with ultrasonic guided waves is steadily growing. Especially the aircraft industry is a driving force in the development of structural health monitoring (SHM) systems. In order to optimally design SHM systems powerful and efficient numerical simulation tools to predict the behaviour of ultrasonic elastic waves in thin-walled structures are required. It has been shown that in real industrial applications, such as airplane wings or fuselages, conventional linear and quadratic pure displacement finite elements commonly used to model ultrasonic elastic waves quickly reach their limits. The required mesh density, to obtain good quality solutions, results in enormous computational costs when solving the wave propagation problem in the time domain. To resolve this problem different possibilities are available. Analytical methods and higher order finite element method approaches (HO-FEM), like p-FEM, spectral elements, spectral analysis and isogeometric analysis, are among them. Although analytical approaches offer fast and accurate results, they are limited to rather simple geometries. On the other hand, the application of higher order finite element schemes is a computationally demanding task. The drawbacks of both methods can be circumvented if regions of complex geometry are modelled using a HO-FEM approach while the response of the remaining structure is computed utilizing an analytical approach. The objective of the paper is to present an efficient method to couple different HO-FEM schemes with an analytical description of an undisturbed region. Using this hybrid formulation the numerical effort can be drastically reduced. The functionality of the proposed scheme is demonstrated by studying the propagation of ultrasonic guided waves in plates, excited by a piezoelectric patch actuator. The actuator is modelled utilizing higher order coupled field finite elements, whereas the homogenous, isotropic plate is described analytically. The results of this "semi-analytical" approach highlight the opportunities to reduce the numerical effort if closed-form solutions are partially available.

어린보릿가루 첨가 거품형 찜케이크의 재료 혼합비율의 최적화 (Optimization of Ingredient Mixing Ratio for Preparation of Steamed Foam Cake with Barley (Hordeum vulgare L.) Sproutling Powder)

  • 서민자;정수지;장명숙
    • 한국식품조리과학회지
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    • 제22권6호통권96호
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    • pp.815-824
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    • 2006
  • This study was performed to determine the optimum ratio of each ingredient in the steamed foam cake with barley (Hordeum vulgare L.) sproutling powder. The experiment was designed according to the D-optimal design of mixture design, which showed 14 experimental points including 4 replicates for three independent variables (sugar 112${\sim}$139%, barley sproutling powder 1${\sim}$8%, and oil 5${\sim}$25%). The compositional and functional properties of test were measured, and these values were applied to the mathematical models. A canonical form and trace plot showed the influence of each ingredient on the mixture final product. The results of F-test, volume, color values (L, a, b), textural properties (hardness, gumminess, chewiness) and sensory characteristics (softness) decided a linear model, while the sensory characteristics (color, smell, taste, overall acceptance) decided a quadratic model. The volume of steamed foam cake was increased by sugar addition, and a negative effect was exerted by barley sproutling powder and oil. L and a of color values increased but the b value decreased with increasing sugar and oil content, whereas barley sproutling powder tended to decrease all color values. The addition of barley sproutling powder also had a positive effect on the textural properties (hardness, gumminess, chewiness). Sensory characteristics (color, smell, softness, taste, overall acceptance) could suffer counter results with the excessive addition of sugar, barley sproutling powder, and oil. The optimum formulations by numerical and graphical methods were similar: sugar, barley sproutling powder, and oil were 130.4%, 4.0%, and 10.7% by numerical method, compared to 130.4%, 4.0%, and 10.7% by graphical method, respectively.

Aerodynamic and aero-elastic performances of super-large cooling towers

  • Zhao, Lin;Chen, Xu;Ke, Shitang;Ge, Yaojun
    • Wind and Structures
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    • 제19권4호
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    • pp.443-465
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    • 2014
  • Hyperbolic thin-shell cooling towers have complicated vibration modes, and are very sensitive to the effects of group towers and wind-induced vibrations. Traditional aero-elastic models of cooling towers are usually designed based on the method of stiffness simulation by continuous medium thin shell materials. However, the method has some shortages in actual engineering applications, so the so-called "equivalent beam-net design method" of aero-elastic models of cooling towers is proposed in the paper and an aero-elastic model with a proportion of 1: 200 based on the method above with integrated pressure measurements and vibration measurements has been designed and carried out in TJ-3 wind tunnel of Tongji university. According to the wind tunnel test, this paper discusses the impacts of self-excited force effect on the surface wind pressure of a large-scale cooling tower and the results show that the impact of self-excited force on the distribution characteristics of average surface wind pressure is very small, but the impact on the form of distribution and numerical value of fluctuating wind pressure is relatively large. Combing with the Complete Quadratic Combination method (hereafter referred to as CQC method), the paper further studies the numerical sizes and distribution characteristics of background components, resonant components, cross-term components and total fluctuating wind-induced vibration responses of some typical nodes which indicate that the resonance response is dominant in the fluctuating wind-induced vibration response and cross-term components are not negligible for wind-induced vibration responses of super-large cooling towers.

품질손실을 고려한 경제적 CUSUM 관리도 (A Design of Economic CUSUM Control Chart Incorporating Quality Loss Function)

  • 김정대
    • 산업경영시스템학회지
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    • 제41권4호
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    • pp.203-212
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    • 2018
  • Quality requirements of manufactured products or parts are given in the form of specification limits on the quality characteristics of individual units. If a product is to meet the customer's fitness for use criteria, it should be produced by a process which is stable or repeatable. In other words, it must be capable of operating with little variability around the target value or nominal value of the product's quality characteristic. In order to maintain and improve product quality, we need to apply statistical process control techniques such as histogram, check sheet, Pareto chart, cause and effect diagram, or control charts. Among those techniques, the most important one is control charting. The cumulative sum (CUSUM) control charts have been used in statistical process control (SPC) in industries for monitoring process shifts and supporting online measurement. The objective of this research is to apply Taguchi's quality loss function concept to cost based CUSUM control chart design. In this study, a modified quality loss function was developed to reflect quality loss situation where general quadratic loss curve is not appropriate. This research also provided a methodology for the design of CUSUM charts using Taguchi quality loss function concept based on the minimum cost per hour criterion. The new model differs from previous models in that the model assumes that quality loss is incurred even in the incontrol period. This model was compared with other cost based CUSUM models by Wu and Goel, According to numerical sensitivity analysis, the proposed model results in longer average run length in in-control period compared to the other two models.

Experimental evaluation of back-to-back anchored walls by double-plates anchors

  • Amir, Najafizadeh;AmirAli, Zad
    • Geomechanics and Engineering
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    • 제31권6호
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    • pp.599-614
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    • 2022
  • One of the methods of stabilizing retaining walls, embankments, and deep excavations is the implementation of plate anchors (like the Geolock wall anchor systems). Back-to-back Mechanically Stabilized Earth (BBMSE) walls are common stabilized earth structures that can be used for bridge ramps. But so far, the analysis of the interactive behavior of two back-to-back anchored walls (BBAW) by double-plates anchors (constructed closely from each other and subjected to the limited-breadth vertical loading) including interference of their failure and sliding surfaces has not been the subject of comprehensive studies. Indeed, in this compound system, the interaction of sliding wedges of these two back-to-back walls considering the shear failure wedge of the foundation, significantly impresses on the foundation bearing capacity, adjacent walls displacements and deformations, and their stability. In this study, the effect of horizontal distance between two walls (W), breadth of loading plate (B), and position of vertical loading was investigated experimentally. In addition, the comparison of using single and equivalent double-plate anchors was evaluated. The loading plate bearing capacity and displacements, and deformations of BBAW were measured and the results are presented. To evaluate the shape, form, and how the critical failure surfaces of the soil behind the walls and beneath the foundation intersect with one another, the Particle Image Velocimetry (PIV) technique was applied. The experimental tests results showed that in this composite system (two adjacent-loaded BBAW) the effective distance of walls is about W = 2.5*H (H: height of walls) and the foundation effective breadth is about B = H, concerning foundation bearing capacity, walls horizontal displacements and their deformations. For more amounts of W and B, the foundation and walls can be designed and analyzed individually. Besides, in this compound system, the foundation bearing capacity is an exponential function of the System Geometry Variable (SGV) whereas walls displacements are a quadratic function of it. Finally, as an important achievement, doubling the plates of anchors can facilitate using concrete walls, which have limitations in tolerating curvature.

빅데이터 기반 산학협력 네트워크 분석 (A Network Analysis on Industry-University Cooperation based on Big Data Analytics)

  • 강대희;안현철
    • 한국빅데이터학회지
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    • 제6권2호
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    • pp.109-124
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    • 2021
  • 본 논문에서는 네트워크 분석방법을 활용하여 대학 중심의 산학협력 네트워크의 구조적 특성을 분석하였다. 최근 기술협력 및 공동연구가 성과창출에 긍정적 영향을 미치는 것이 증명됨에 따라, 혁신성과 창출을 위하여 주요 참여주체(대학 및 공공 등)를 중심으로 다양한 형태의 협력활동 추진과 정부의 정책적 지원이 활발하게 진행되고 있다. 하지만 이러한 노력에도 불구하고 성장동력 창출은 다소 미흡한 상황이기에 대학중심의 산학협력 활동강화를 위한 혁신 네트워크 구축 방안 마련이 필요한 시점이다. 이에 본 연구에서는 산학협력 유형(특허, 논문, 공동연구, 기술이전)에 따른 네트워크를 구축하고, QAP상관분석 및 QAP회귀분석을 실시하여 서로 다른 유형의 산학협력 네트워크간 관련성 및 연관성을 통계적 관점에서 분석하였다. 분석결과 공동연구 네트워크는 논문 네트워크와 밀접한 관련이 있으며, 다른 산학협력 네트워크와도 관련성을 가지고 있는 것으로 나타났다. 본 연구는 대학의 새로운 성장동력 창출에 필요한 산학협력 전략수립 및 협력 파트너 발굴 등과 같은 혁신활동을 지원할 수 있을 것이라 기대한다.