• 제목/요약/키워드: quadratic function field

검색결과 66건 처리시간 0.03초

강도 및 강성 조건을 고려한 탄소섬유강화플라스틱(CFRP) 로어 컨트롤 아암의 치수 최적설계 (Sizing Optimization of CFRP Lower Control Arm Considering Strength and Stiffness Conditions)

  • 임주희;도재혁;유상혁;강오성;강건욱;이종수
    • 한국CDE학회논문집
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    • 제21권4호
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    • pp.389-396
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    • 2016
  • The necessity for environment-friendly material development has emerged in the recent automotive field due to stricter regulations on fuel economy and environmental concerns. Accordingly, the automotive industry is paying attention to carbon fiber reinforced plastic (CFRP) material with high strength and stiffness properties while the lightweight. In this study, we determine a shape of lower control arm (LCA) for maximizing the strength and stiffness by optimizing the thickness of each layer when the stacking angle is fixed due to the CFRP manufacturing problems. Composite materials are laminated in the order of $0^{\circ}$, $90^{\circ}$, $45^{\circ}$, and $-45^{\circ}$ with a symmetrical structure. For the approximate optimal design, we apply a sequential two-point diagonal quadratic approximate optimization (STDQAO) and use a process integrated design optimization (PIDO) code for this purpose. Based on the physical properties calculated within a predetermined range of laminate thickness, we perform the FEM analysis and verify whether it satisfies the load and stiffness conditions or not. These processes are repeated for successive improved objective function. Optimized CFRP LCA has the equivalent stiffness and strength with light weight structure when compared to conventional aluminum design.

P2P1 유한요소를 이용한 LES (Large Eddy simulation using P2P1 finite element formulation)

  • 최형권;남영석;유정열
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집E
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    • pp.386-391
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    • 2001
  • A finite element code based on P2P1 tetra element has been developed for the large eddy simulation (LES) of turbulent flows around a complex geometry. Fractional 4-step algorithm is employed to obtain time accurate solution since it is less expensive than the integrated formulation, in which the velocity and pressure fields are solved at the same time. Crank-Nicolson method is used for second order temporal discretization and Galerkin method is adopted for spatial discretization. For very high Reynolds number flows, which would require a formidable number of nodes to resolve the flow field, SUPG (Streamline Upwind Petrov-Galerkin) method is applied to the quadratic interpolation function for velocity variables, Noting that the calculation of intrinsic time scale is very complicated when using SUPG for quadratic tetra element of velocity variables, the present study uses a unique intrinsic time scale proposed by Codina et al. since it makes the present three-dimensional unstructured code much simpler in terms of implementing SUPG. In order to see the effect of numerical diffusion caused by using an upwind scheme (SUPG), those obtained from P2P1 Galerkin method and P2P1 Petrov-Galerkin approach are compared for the flow around a sphere at some Reynolds number. Smagorinsky model is adopted as subgrid scale models in the context of P2P1 finite element method. As a benchmark problem for code validation, turbulent flows around a sphere and a MIRA model have been studied at various Reynolds numbers.

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최적화된 pRBF 뉴럴 네트워크에 의한 정적 상황 인지 시스템에 관한 연구 (A Study on Static Situation Awareness System with the Aid of Optimized Polynomial Radial Basis Function Neural Networks)

  • 오성권;나현석;김욱동
    • 전기학회논문지
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    • 제60권12호
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    • pp.2352-2360
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    • 2011
  • In this paper, we introduce a comprehensive design methodology of Radial Basis Function Neural Networks (RBFNN) that is based on mechanism of clustering and optimization algorithm. We can divide some clusters based on similarity of input dataset by using clustering algorithm. As a result, the number of clusters is equal to the number of nodes in the hidden layer. Moreover, the centers of each cluster are used into the centers of each receptive field in the hidden layer. In this study, we have applied Fuzzy-C Means(FCM) and K-Means(KM) clustering algorithm, respectively and compared between them. The weight connections of model are expanded into the type of polynomial functions such as linear and quadratic. In this reason, the output of model consists of relation between input and output. In order to get the optimal structure and better performance, Particle Swarm Optimization(PSO) is used. We can obtain optimized parameters such as both the number of clusters and the polynomial order of weights connection through structural optimization as well as the widths of receptive fields through parametric optimization. To evaluate the performance of proposed model, NXT equipment offered by National Instrument(NI) is exploited. The situation awareness system-related intelligent model was built up by the experimental dataset of distance information measured between object and diverse sensor such as sound sensor, light sensor, and ultrasonic sensor of NXT equipment.

동력경운기 Plow System의 역학적 평행개선에 의한 연구 (Study on the Dynamic Balance of the Power-tiller Plow System)

  • 송현갑
    • Journal of Biosystems Engineering
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    • 제5권2호
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    • pp.26-39
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    • 1980
  • A study was investigated to find out the mechanical optimum conditions of power tiller-plow system on both paddy field and upland. Mathematical model was developed for the theoretical analysis of this system and the experimentation on the field was carried out with two different sizes of 5PS and 8PS power tiller equipped with rubber tire. 1) The relationship between the plowing depth and draft resistance of the power tiller-plow system was a quadratic function. 2) The minimum point of the specific draft resistance of the 5 PS plow was found at the smaller plowing depth than that of 8 PS plow, therefore we can find that the curved surface of 5PS plow bottom should be improved for the effective plowing operation. 3) As the improvement of the mechanical balance by the desirable change of the curved surface of plow bottom, the relative position of hitch point and dimension of plow beam would be realized, the 5 PS power tiller could be used to plow deeply (about 16-17cm). 4) The virtual acting point of the total draft resistance on the plow bottom approached to the land side as the plowing depth increased. 5) The resultant of vertical reaction force $R_2$ on the landside was increased with the plowing depth, while the vertical reaction force $R_1$ on the wheel was decreased as the slope angle of the body of power tiller increased. 6) For the effective plowing operations ; a) The slope angle of the body should be as small as possible. b) The diameter of the wheel should be as small possible. c) The horizontal and vertical distances $l_2, h_1$ between the wheel axis and plow bottom should be as large as possible. 7) To use the 5PS power tiller as the major unit of agricultural machinery, the curved surface of the 5 PS plower bottom and the mechanism of attachment between the power tiller and the plow should be changed as the indications of this study, and in addition to these, the new operation method of the field work should be developed.

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비볼록 발전비용함수 경제급전문제의 개선된 밸브지점 최적화 알고리즘 (Improved Valve-Point Optimization Algorithm for Economic Load Dispatch Problem with Non-convex Fuel Cost Function)

  • 이상운
    • 한국인터넷방송통신학회논문지
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    • 제15권6호
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    • pp.257-266
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    • 2015
  • 비 볼록 발전비용함수에 대한 최적화 문제는 다항시간으로 해를 구하는 알고리즘이 알려져 있지 않아 전기분야에서는 부득이 2차 함수만을 사용하고 있다. 본 논문은 비 볼록 발전비용함수의 경제급전 최적화 문제에 대한 밸브지점 최적화 알고리즘을 제안하였다. 제안된 알고리즘은 초기 치로 최대 발전량 $P_i{\leftarrow}P_i^{max}$로 설정하고, 평균 발전단가가 $_{max}\bar{c}_i$인 발전기 i의 발전량을 밸브지점 $P_{ik}$로 감소시키는 방법을 적용하였다. 제안된 알고리즘을 13과 40-발전기 데이터에 적용한 결과 기존의 휴리스틱 알고리즘보다 좋은 성능을 보였다. 따라서 비 볼록 발전비용함수의 경제급전문제 최적 해는 각 발전기의 밸브지점 발전량으로 수렴함을 보였다.

염산 운송차량의 누출공 크기와 누출률 및 영향범위간 상관관계 연구 (A Study on the Correlation between Leak Hole Size, Leak Rate, and the Influence Range for Hydrochloric Acid Transport Vehicles)

  • 전병한;김현섭
    • 한국환경보건학회지
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    • 제47권2호
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    • pp.175-181
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    • 2021
  • Objectives: The correlation between the size of a leak hole, the volume of the leakage, and the range of influence was investigated for a hydrochloric acid tank-lorry. Methods: For the case of a tank-lorry chemical accident, KORA (Korea Off-site Risk Assessment Supporting Tool) was used to predict the leak rate and the range of influence according to the size of the leak hole. The correlation was studied using R. Results: As a result of analyzing the leak rate change according to the leak hole size in a 35% hydrochloric acid tank-lorry, as the size of the leak hole increased from 1 to 100 mm, the leak rate increased from 0.008 to 83.94 kg/sec, following the power function. As a result of calculating the range of influence under conditions ranging from 1 to 100 mm in size and 10 to 60 minutes of leakage time, it was found that the range spanned from a minimum of 5.4 m to a maximum of 307.9 m. As a result of multiple regression analysis using R, the quadratic function model best explained the correlation between the size of the leak hole, the leak time, and the range of influence with an adjected coefficient of determination of 0.97 and a root mean square error of 22.33. Conclusion: If a correlation database for the size of a leak hole is accumulated for various substances and under various conditions, the amount of leakage and the range of influence can easily be calculated, facilitating field response activities.

B-spline polynomials models for analyzing growth patterns of Guzerat young bulls in field performance tests

  • Ricardo Costa Sousa;Fernando dos Santos Magaco;Daiane Cristina Becker Scalez;Jose Elivalto Guimaraes Campelo;Clelia Soares de Assis;Idalmo Garcia Pereira
    • Animal Bioscience
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    • 제37권5호
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    • pp.817-825
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    • 2024
  • Objective: The aim of this study was to identify suitable polynomial regression for modeling the average growth trajectory and to estimate the relative development of the rib eye area, scrotal circumference, and morphometric measurements of Guzerat young bulls. Methods: A total of 45 recently weaned males, aged 325.8±28.0 days and weighing 219.9±38.05 kg, were evaluated. The animals were kept on Brachiaria brizantha pastures, received multiple supplementations, and were managed under uniform conditions for 294 days, with evaluations conducted every 56 days. The average growth trajectory was adjusted using ordinary polynomials, Legendre polynomials, and quadratic B-splines. The coefficient of determination, mean absolute deviation, mean square error, the value of the restricted likelihood function, Akaike information criteria, and consistent Akaike information criteria were applied to assess the quality of the fits. For the study of allometric growth, the power model was applied. Results: Ordinary polynomial and Legendre polynomial models of the fifth order provided the best fits. B-splines yielded the best fits in comparing models with the same number of parameters. Based on the restricted likelihood function, Akaike's information criterion, and consistent Akaike's information criterion, the B-splines model with six intervals described the growth trajectory of evaluated animals more smoothly and consistently. In the study of allometric growth, the evaluated traits exhibited negative heterogeneity (b<1) relative to the animals' weight (p<0.01), indicating the precocity of Guzerat cattle for weight gain on pasture. Conclusion: Complementary studies of growth trajectory and allometry can help identify when an animal's weight changes and thus assist in decision-making regarding management practices, nutritional requirements, and genetic selection strategies to optimize growth and animal performance.

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.

Thermal stability analysis of solar functionally graded plates on elastic foundation using an efficient hyperbolic shear deformation theory

  • El-Hassar, Sidi Mohamed;Benyoucef, Samir;Heireche, Houari;Tounsi, Abdelouahed
    • Geomechanics and Engineering
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    • 제10권3호
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    • pp.357-386
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    • 2016
  • In this research work, an exact analytical solution for thermal stability of solar functionally graded rectangular plates subjected to uniform, linear and non-linear temperature rises across the thickness direction is developed. It is assumed that the plate rests on two-parameter elastic foundation and its material properties vary through the thickness of the plate as a power function. The neutral surface position for such plate is determined, and the efficient hyperbolic plate theory based on exact neutral surface position is employed to derive the governing stability equations. The displacement field is chosen based on assumptions that the in-plane and transverse displacements consist of bending and shear components, and the shear components of in-plane displacements give rise to the quadratic distribution of transverse shear stress through the thickness in such a way that shear stresses vanish on the plate surfaces. Therefore, there is no need to use shear correction factor. Just four unknown displacement functions are used in the present theory against five unknown displacement functions used in the corresponding ones. The non-linear strain-displacement relations are also taken into consideration. The influences of many plate parameters on buckling temperature difference will be investigated. Numerical results are presented for the present theory, demonstrating its importance and accuracy in comparison to other theories.

투과선량을 이용한 생체내 (in vivo) 선량측정을 위한 알고리즘 (Transmission Dose Estimation Algorithm for in vivo Dosimertry)

  • 윤형근;지의규;허순녕;이형구;우홍균;신교철;김시용;하성환
    • Journal of Radiation Protection and Research
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    • 제27권3호
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    • pp.147-154
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    • 2002
  • 연구 목적 : 각종 암 환자의 방사선치료시 환자에 조사되는 방사선량을 매 치료시마다 간편하게 확인하기 위한 생체내(in vivo) 선량측정의 한 방법으로 투과선량을 이용하는 새로운 시스템에 필요한 알고리즘을 개발하고자 하였다. 이를 위하여 본 교실에서 이미 개발한 바 있는 알고리즘을 개선하고자 하였다. 연구 재료 및 방법 : 알고리즘은 투과선량의 기본 측정치를 A/P (area-perimeter ratio)의 4차 함수로 회귀한 후에 각 계수들을 PCD (phantom-chamber distance)의 3차 함수로 회귀하여 구성하였다. 또한 기본 측정조건들의 감소 가능성을 확인하기 위하여 각각의 PCD 및 Tp (phantom thickness)당 조사야를 8개만 사용한 경우와 15개를 사용한 경우에서 측정치와 계산치를 비교하였다. 임의의 방사선조사조건에서의 알고리즘의 정확도를 확인하기 위하여 기본 측정 조건에 포함되지 않은 장방형의 방사선조사야, 기본 측정에 포함되지 않은 임의의 팬톰 두께, 임의의 PCD 조건에서 측정을 시행하고 알고리즘을 이용한 계산치와 비교하였다. 연구 결과 : 기본 측정치와 알고리즘을 이용한 계산치 간의 오차를 분석한 곁과 기존의 알고리즘에 비하여 정확도가 크게 향상되었으며 정방형 개방 조사야의 경우 오차의 범위를 ${\pm}0.5%$ 이내로 제한할 수 있었다. 또한 기돈 측정조건을 약 2분의 1로 감소시킬 수 있었다. 임의의 개방조사야의 방사선조사조건에서 측정을 시행하고 알고리즘을 이용한 계산치와 비교한 경우도 대부분의 경우 ${\pm}1.0%$ 이하의 오차를 나타내었다. 결론 : 악성종양환자의 방사선치료시 투과선량을 이용하여 환자에 조사되는 방사선량을 실시간으로 측정하기 위한 생체내 선량측정시스템이 필요한 개선된 알고리즘은 기본 측정자료를 약2분의 1로 축소한 경우에도 정방형 개방 조사야의 경우 ${\pm}0.5%$ 이하의 오차 범위, 장방형의 개방 조사야에서는 ${\pm}1.0%$ 이하의 오차 범위로 정확히 투과선량을 계산할 수 있음을 확인하였다.