• 제목/요약/키워드: Cubic polynomial

검색결과 82건 처리시간 0.046초

Energy Response in Chemiluminescence Dosimetry with Sugar and Sorbite

  • Jun, J.S.;Guggenberger, R.;Dalheimer, A.
    • Nuclear Engineering and Technology
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    • 제33권6호
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    • pp.626-637
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    • 2001
  • A series of study on energy dependence in chemiluminescence dosimetry with sugar and sorbite produced in two different countries was carried out administering a dose of 5 Gy to the samples at six different mean photon energies of 30, 50, 80, 130, 662 and 1250 keV. The results revealed distinct energy dependence of chemiluminescence(CL) output of sugar and sorbite. Although the energy dependence, in general, could be fitted by a polynomial of (os E, with I being radiation energy, up to cubic term, we reached a conclusion that the adoption of a fitting function, $y_{R}$$^{=a}$.(1-e $^{-b.logE}$)$^{c}$ +d, deduced from theoretical energy response curve calculated as the ratio of the mass energy absorption of the samples of interest to the soft tissue is more reasonable and rational. Herecoefficients $y_{R}$ is CL intensity, and a, b, c and d are constants to be determined in the fitting process. Energy dependence of relative sensitivities of one sample to the other, discrepancy in sensitivities of the samples from the two countries, and prominent grain size effect in Sorbitol were also shown.shown.

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Minimum time path planning of robotic manipulator in drilling/spot welding tasks

  • Zhang, Qiang;Zhao, Ming-Yong
    • Journal of Computational Design and Engineering
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    • 제3권2호
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    • pp.132-139
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    • 2016
  • In this paper, a minimum time path planning strategy is proposed for multi points manufacturing problems in drilling/spot welding tasks. By optimizing the travelling schedule of the set points and the detailed transfer path between points, the minimum time manufacturing task is realized under fully utilizing the dynamic performance of robotic manipulator. According to the start-stop movement in drilling/spot welding task, the path planning problem can be converted into a traveling salesman problem (TSP) and a series of point to point minimum time transfer path planning problems. Cubic Hermite interpolation polynomial is used to parameterize the transfer path and then the path parameters are optimized to obtain minimum point to point transfer time. A new TSP with minimum time index is constructed by using point-point transfer time as the TSP parameter. The classical genetic algorithm (GA) is applied to obtain the optimal travelling schedule. Several minimum time drilling tasks of a 3-DOF robotic manipulator are used as examples to demonstrate the effectiveness of the proposed approach.

매립토공량 계산식에 관한 연구 (A Study on the Reclamation Earthwork Calculation Formula)

  • 이용희;문두열
    • 한국항만학회지
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    • 제15권1호
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    • pp.87-97
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    • 2001
  • The calculation of earthwork plays a major role in plan or design of many civil engineering projects, and thus it has become very important to advanced the accuracy of earthwork calculation. Current method used for estimating the volume of pit excavation assumes that the ground profile between the grid points is linear(trapezoidal rule), or nonlinear(simpson's formulas). In this paper the spot height method, least square method, and chamber formulas, Chen and Lin method are compared with the volumes of the pits in these examples. As a result of this study, algorithm of chen and Lin me쇙 by spline method should provide a better accuracy than the spot height method, least square method, chamber formulas. The Chen and Lin formulas can be used for estimating the excavation volume of a pit divide into a grid with unequal intervals. From the characteristics of the cubic spline polynomial, the modeling curve of the Chen and Lin method is smooth and matches the ground profile well. Generally speaking, the nonlinear profile formulas provide better accuracy than the linear profile formulas. The mathematical model mentioned make an offer maximum accuracy in estimating the volume of a pit excavation.

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Free vibration analysis of rotating tapered blades using Fourier-p superelement

  • Gunda, Jagadish Babu;Singh, Anuj Pratap;Chhabra, Parampal Singh;Ganguli, Ranjan
    • Structural Engineering and Mechanics
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    • 제27권2호
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    • pp.243-257
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    • 2007
  • A numerically efficient superelement is proposed as a low degree of freedom model for dynamic analysis of rotating tapered beams. The element uses a combination of polynomials and trigonometric functions as shape functions in what is also called the Fourier-p approach. Only a single element is needed to obtain good modal frequency prediction with the analysis and assembly time being considerably less than for conventional elements. The superelement also allows an easy incorporation of polynomial variations of mass and stiffness properties typically used to model helicopter and wind turbine blades. Comparable results are obtained using one superelement with only 14 degrees of freedom compared to 50 conventional finite elements with cubic shape functions with a total of 100 degrees of freedom for a rotating cantilever beam. Excellent agreement is also shown with results from the published literature for uniform and tapered beams with cantilever and hinged boundary conditions. The element developed in this work can be used to model rotating beam substructures as a part of complete finite element model of helicopters and wind turbines.

비선형회귀분석을 이용한 진공유리 모서리 접합단면 형상예측 (Prediction of the Edge Sealing Shape on the Vacuum Glazing Using the Nonlinear Regression Analysis)

  • 김영신;전의식
    • 한국산학기술학회논문지
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    • 제14권3호
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    • pp.1016-1021
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    • 2013
  • 수소혼합가스토치를 이용하여 유리 모서리 접합 시 접합부의 형상은 수소혼합가스의 유량, 토치의 이송속도, 토치와 유리사이의 거리 등 많은 공정변수들에 의해 영향을 받는다. 모서리 접합형상은 유리패널의 단열 및 기밀, 강도성능에 영향을 미치므로, 공정변수에 따른 접합부 형상예측에 대한 연구가 수행되어야 한다. 따라서 본 논문에서는 공정변수 설정 및 실험분석을 통하여, 공정변수에 따른 단면형상을 예측할 수 있는 회귀식을 도출하였다. 도출된 회귀식에 각 공정변수값을 적용하여 접합형상을 예측하고, 실제 모서리 접합 실험결과와 비교하여 회귀식의 타당성을 검증하였다.

휴머노이드 로봇의 전방향 이족보행 원격제어를 위한 안드로이드 애플리케이션 개발 (Development of Android Application for Wireless Control of Omnidirectional Biped Walking of Humanoid Robot)

  • 박규영;윤재훈;최영림;김종욱
    • 제어로봇시스템학회논문지
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    • 제20권2호
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    • pp.223-231
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    • 2014
  • Humanoid robot is the most suitable robot platform for effective human interaction and various intelligent services. The present work addresses development of real time wireless control application of humanoid robot's forward and backward walks, and turning in walking. For convenience of human users, the application is developed on Android OS (Operating System) working on his or her smartphone. To this end, theoretic background on various-directional biped walking is proposed based on joint trajectories for forward walking, which have been shaped with a global optimization method. In this paper, backward walking is scheduled by interchange of angles and angular velocities and additional change of signs in angular velocities at all the via-points connecting cubic polynomial trajectories. Turning direction in walking is also implemented by activating the transversal hip joint initially located in the support leg in two stages. After validation of the proposed walking schemes with Matlab simulator, a smartphone application for the omnidirectional walking has been developed to control a humanoid robot platform named DARwIn-OP interconnected via Wi-Fi. Experiment result of the present wireless control of a humanoid robot with smartphone is successful, and the application will be released in application market near future.

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.

비행체 시간지연을 고려한 정밀경로추종 PID 제어기법 (Tight Path Following PID Controller for a Vehicle with Time Delay)

  • 이인석;박상혁;이경호
    • 한국항공우주학회지
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    • 제39권7호
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    • pp.618-626
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    • 2011
  • 무인항공기가 복잡한 지형이나 위험 지역에서 안전한 비행을 하기 위해서는 요구되는 경로를 정밀하게 추종할 수 있는 제어기법이 필요하다. 경로추종을 위해 사용되는 PID 제어기에서는 경로의 곡률을 앞먹임하여 추종성능을 개선할 수 있다. 한편 경로를 정밀 추종하기 위해서는 제어기의 이득을 크게 하는 것이 필요하나 비행체의 응답속도가 느린 경우 큰 경로 추종 이득을 사용할 경우 성능 저하 또는 불안정성이 발생할 수 있다. 여기서는 응답지연을 고려하여 앞먹임을 갖는 PID제어기의 설계방법을 고려하였다. 앞먹임에 필요한 경로정보를 간단히 얻기 위해 주어진 경로를 3차 스플라인 방법을 적용하여 3차 다항식으로 나타내었다. 설계한 제어기의 추종성능을 평가하기 위해 높은 고도에서 운용되는 느린 횡방향 동특성을 갖는 무인항공기에 대해 비선형 시뮬레이션을 수행하였다. 제어기에서는 횡방향 동특성을 1차 모델로 가정하여 반영하였다. 시뮬레이션을 통하여 동특성을 고려한 경우는 비행체가 주어진 경로를 매우 정밀하게 추종함을 확인하였다.

새로운 거리 가중치와 지역적 패턴을 고려한 적응적 선형보간법 (Adaptive Linear Interpolation Using the New Distance Weight and Local Patterns)

  • 김태양;전영균;정제창
    • 한국통신학회논문지
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    • 제31권12C호
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    • pp.1184-1193
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    • 2006
  • 영상 보간은 영상 처리 분야에서 전통적으로 많이 연구되어 왔고 널리 사용되고 있다. 그에 따라 다양한 보간 능력과 계산 복잡도를 갖는 보간법들이 많이 시도되고 있다. 이 논문에서는 기존의 선형 보간법을 위한 새로운 거리 가중치 개념과 보간되는 값의 상하, 좌우 지역적 패턴을 고려하여 반영하는 적응적 선형 보간법(New Adaptive Linear Interpolation : NAL Interpolation)을 제안한다. 새로운 거리 가중치는 기존의 거리에 선형적으로 비례하는 가중치의 개념에서 벗어나 가까운 화소에 더욱 더 영향을 많이 받는 특성을 이용하여 거리 가중치를 2차, 3차 다항식으로 개선한 것이다. 또한 NAL 보간법은 보간되는 화소의 상하, 좌우 패턴을 고려하는 선형 보간법으로 MF(magnification factor)의 변화에 따라 보다 선명한 이미지를 쉽게 얻기 위해서 보간하기 전 MF에 따라 패턴을 반영하는 정도를 결정하는 패턴 가중치를 이용한다. 실험 결과에서 제안된 보간법은 계산 복잡도 면에서 기존의 bicubic 보간법 보다 훨씬 간단할 뿐만 아니라 더 좋은 PSNR(peak signal-to-noise ratio)를 갖고 보다 선명한 화질의 영상으로 보간하였다.

Relationship between Plastochrone and Development Indices Estimated by a Nonparametric Rice Phenology Model

  • Lee, Byun-Woo;Nam, Taeg-Su;Yim, Young-Seon
    • 한국작물학회지
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    • 제44권2호
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    • pp.149-153
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    • 1999
  • Prediction of rice developmental stage is necessary for proper crop management and a prerequisite for growth simulation as well. The objectives of the present study were to find out the relationship between the plastochrone index(PI) and the developmental index(DVI) estimated by non-parametric phenology model which simulates the duration from seedling emergence(DVI=0) to heading(DVI=l) by employing daily mean air temperature and daylength as predictor variables, and to confirm the correspondency of developmental indice to panicle developmental stages based on this relationship. Four japonica rice cultivars, Kwanakbyeo, Sangpungbyeo, Dongjinbyeo, and Palgumbyeo which range from very early to very late in maturity, were grown by sowing directly in dry paddy field five times at an interval of two weeks. Data for seedling emergence, leaf appearance, differentiation stage of primary rachis branch and heading were collected. The non-parametric phenology model predicted well the duration from seedling emergence to heading with errors of less than three days in all sowings and cultivars. PI was calculated for every leaf appearance and related to the developmental index estimated for corresponding PI. The stepwise polynomial analysis produced highly significant square-rooted cubic or biquadratic equations depending on cultivars, and highly significant square-rooted biquadratic equation for pooled data across cultivars without any considerable reduction in accuracy compared to that for each cultivar. To confirm the applicability of this equation in predicting the panicle developmental stage, DVI at differentiation stage of primary rachis branch primordium was calculated by substituting PI with 82 corresponding to this stage, and the duration reaching this DVI from seedling emergence was estimated. The estimated duration revealed a good agreement with that observed in all sowings and cultivars. The deviations between the estimated and the observed were not greater than three days, and significant difference in accuracy was not found for predicting this developmental stage between those equations derived for each cultivar and for pooled data across all cultivars tested.

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