• 제목/요약/키워드: time-speed function

검색결과 878건 처리시간 0.026초

거리함수와 속력함수에서, 거리와 속력의 관계에 대한 학생들의 인식과 표현의 변화과정에 대한 연구 (A Study on the Change Process of Students' Perception and Expression About Distance and Speed in Distance Function and Speed Function)

  • 이동근;안상진;김숙희;신재홍
    • 대한수학교육학회지:학교수학
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    • 제18권4호
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    • pp.881-901
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    • 2016
  • 본 연구는 '시간, 거리, 속력'의 관계에 대한 학생들의 인식과 표현을 교수실험을 통하여 세밀하게 관찰한 연구이다. 이 과정에서 학생들의 '시간, 거리, 속력'의 관계에 대한 인식의 변화가 드러났으며, 학생들은 평균속력에 대하여 거리함수에서 구간의 양 끝점을 잇는 선분의 기울기라는 관점으로 인식하는 것 외에도 속력함수에서 사각형의 높이로 인식하여 '시간, 거리, 속력'을 이해하고 있음을 보여주었다. 이 과정에서 '거리=시간${\times}$속력'의 관계를 '거리=시간${\times}$평균속력'으로 확장하는 장면을 드러내었다. 본 연구는 제한된 소수 학생을 대상으로 교수실험을 진행하였지만, 학생들의 '시간, 거리, 속력'의 관계에 대한 인식과 표현의 변화 과정에 대한 관찰을 통하여 여러 시사점을 제시하였다. 이러한 연구 결과가 추후 미적분 학습 모델 구성을 위한 다양한 연구의 시발점이 되기를 기대해본다.

진동지속시간을 고려한 고속철도교량의 진동 사용성 처짐 한계 (Deflection Limit on Vibration Serviceability of High-speed Railway Bridges Considering the Exposed Time Duration)

  • 전법규;김남식;김성일
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2010년도 춘계학술대회 논문집
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    • pp.1444-1451
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    • 2010
  • This paper aims for proposed the deflection limit on vibration serviceability of high-speed railway bridges considering the exposed time duration when a train passes a railway bridge. For this purpose, bridge-train transfer function was derived and bridge-train interaction analysis was performed by using the derived function. The vertical acceleration signals of passenger cars obtained from bridge-train interaction analysis were compared with them from the bridge-train transfer function by moving constant force analysis. Therefore it was estimated possible to induce the comfort deflection limit of railway bridge by using bridge-train transfer function. The deflections by moving force of single span bridge and continuous bridge were assumed as sine and haversine wave. The deflection limit on vibration serviceability of high-speed railway bridges considering the exposed time duration can be expanded using bridge-train transfer function and bridge comfort limit considering serviceability due to bridge vibration. And it was compared to other allowable deflection limits of railway bridge design specifications.

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덩어리 추론을 하는 학생의 시간-거리함수에서 시간-속력함수 구성에 대한 연구 (A construction of a time-speed function in the time-distance function of students with chunky reasoning)

  • 이동근
    • 한국수학교육학회지시리즈A:수학교육
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    • 제62권4호
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    • pp.473-490
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    • 2023
  • 국내외 선행연구들에서는 교수실험을 통하여 학생들의 연속적인 변화에 대한 추론 방식에 대한 정보를 축적해가고 있다. 이들 연구에서는 연속적인 변화를 매끄러운 추론과 덩어리 추론을 하는 학생들이 교수실험에서 함께 수학적 결과물을 구성해가는 장면들을 다루고 있는데, 이들의 결과를 보다 세밀하게 분석하기 위해서는 특정 방식으로 연속적인 변화를 추론하는 학생이 이전 선행 연구들에서의 과제들에 대하여 어떠한 결과물을 구성해가는지 확인할 필요가 있다. 이러한 연구의 필요에 따라, 연구자는 덩어리 추론을 하는 것으로 확인된 고등학교 1학년 학생 한 명을 대상으로 총 14차시의 교수실험을 진행하였다. 본 연구에서는 덩어리 추론을 하는 학생이 '이전 선행연구에서 연속적인 변화에 대한 추론 방식이 다양한 학생들이 구성하였던 수학적 결과물'과 유사한 산출물을 구성해가는 장면을 관찰할 수 있었다. 특히 본 연구에 참여한 학생에게서 '시간-거리함수에서 시간-속력함수를 구성하는 일관된 구성 방식'이 관찰되었으며, 이러한 학생의 독특한 구성 방식에 대한 정보가 후속 연구에 도움이 될 것이라 기대하였다.

금속벨트 CVT의 전달함수 도출과 변속비 LQG/LTR 제어 (Transfer Function Derivation and LQG/LTR Speed Ratio Control for a Metal Belt CVT)

  • 김종준;송한림;김현수
    • 한국자동차공학회논문집
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    • 제5권1호
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    • pp.49-58
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    • 1997
  • In this paper, a transfer function was obtained for a PWM high speed solenoid valve controlled metal belt CVT system. The transfer function was defined as the ratio of speed ratio to PWM duty ratio and derived in time domain by linear regression analysis from the experimental results. The transfer function obtained showed different dynamic characteristics for the up and down shift. Also, LQG/LTR controller was designed for the CVT system using the transfer function. It is seen from the experimental results that LQG/LTR control showed good performance for the speed ratio tracking and disturbance rejection. The phase difference and relatively slow response are considered due to the inaccuracy os the transfer functions, which resulted from the inherent nonlinearities of the transmission characteristics of the metal belt CVT.

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조속기의 CUT-OFF 특성을 반영한 에너지 함수 유도 및 응용 (The Derivation and Application of Energy Function Reflecting the Governor Cut-off Property)

  • 문영현;김형준;류헌수;조병훈;김세호
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1996년도 추계학술대회 논문집 학회본부
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    • pp.84-87
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    • 1996
  • This paper presents a energy function to reflect the control effect of speed governor which has a cut-off property which means position and rate limit The proposed energy function satisfies the semi-negativeness of its time derivative and well reflects the parameters of speed governor to the energy function. The transient stability analysis by the direct method for the single machine infinite bus system has been conducted with the use of the proposed energy function, which shows that the results by the direct method well agree with that by the conventional time simulation method. This thesis shows a possibility of more accurate stability analysis by taking into account the cut-off property of speed governor's output.

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TPM에서 퍼지 OEE 모형의 개발 및 분석 (Development and Analysis of Fuzzy Overall Equipment Effectiveness (OEE) in TPM)

  • 최성운
    • 한국경영공학회지
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    • 제23권4호
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    • pp.87-103
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    • 2018
  • This paper introduces the method to develop two main types of the fuzzy OEE (Overall Equipment Effectiveness) models via triangular membership function for measuring uncertainty. The fuzzy OEE includes model type 1 and model type 2. The model type 1 is used when the theoretical machine speed only reflects the time loss whereas model type 2 is used when the actual machine speed reflects both time and speed loss. Model type 2 has shown to perform a lower availability rate and a higher performance rate compared to model type 1. In addition, the fuzzy UPH (Unit Per Hour) which is derived from using the fuzzy OEE is presented to satisfy demand uncertainty. The fuzzy UPH can easily measure the fuzzy tact time and cycle time by reciprocating itself. Finally, this study demonstrates the fuzzy OEE models using IVIFS (Interval-Valued Intuitionistic Fuzzy Set) based on the characterization via membership function, non-membership function and hesitant function. For the purpose of analyzing the fuzzy system OEE, the OEE for each machine of plant structure is considered triangular interval-valued intuitionistic fuzzy number. Regardless of plant structure, the validity degree of fuzzy membership function of system OEE decreases when the number of machine with worst value of the validity degree increases. Corresponding examples are presented in this paper for practitioner to understand the applicability and practicability of the proposed fuzzy OEE methods.

홍수량 예측 인공신경망 모형의 활성화 함수에 따른 영향 분석 (Impact of Activation Functions on Flood Forecasting Model Based on Artificial Neural Networks)

  • 김지혜;전상민;황순호;김학관;허재민;강문성
    • 한국농공학회논문집
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    • 제63권1호
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    • pp.11-25
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    • 2021
  • The objective of this study was to analyze the impact of activation functions on flood forecasting model based on Artificial neural networks (ANNs). The traditional activation functions, the sigmoid and tanh functions, were compared with the functions which have been recently recommended for deep neural networks; the ReLU, leaky ReLU, and ELU functions. The flood forecasting model based on ANNs was designed to predict real-time runoff for 1 to 6-h lead time using the rainfall and runoff data of the past nine hours. The statistical measures such as R2, Nash-Sutcliffe Efficiency (NSE), Root Mean Squared Error (RMSE), the error of peak time (ETp), and the error of peak discharge (EQp) were used to evaluate the model accuracy. The tanh and ELU functions were most accurate with R2=0.97 and RMSE=30.1 (㎥/s) for 1-h lead time and R2=0.56 and RMSE=124.6~124.8 (㎥/s) for 6-h lead time. We also evaluated the learning speed by using the number of epochs that minimizes errors. The sigmoid function had the slowest learning speed due to the 'vanishing gradient problem' and the limited direction of weight update. The learning speed of the ELU function was 1.2 times faster than the tanh function. As a result, the ELU function most effectively improved the accuracy and speed of the ANNs model, so it was determined to be the best activation function for ANNs-based flood forecasting.

3 차원 시간영역 전진속도 자유표면 Green 함수와 2 차 경계요소법을 사용한 선체의 방사포텐셜 수치계산 (Numerical Study of the Radiation Potential of a Ship Using the 3D Time-Domain Forward-Speed Free-Surface Green Function and a Second-Order BEM)

  • 홍도천;홍사영
    • 대한조선학회논문집
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    • 제45권3호
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    • pp.258-268
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    • 2008
  • The radiation potential of a ship advancing in waves is studied using the 3D time-domain forward-speed free-surface Green function and the Green integral equation. Numerical solutions are obtained by making use of the 2nd order BEM(Boundary Element Method) which make it possible to take account of the line integral along the waterline in a rigorous manner. The 6 degree of freedom motion memory functions of a hemisphere and the Wigley seakeeping model obtained by direct integration of the time-domain 3D potentials over the wetted surface are presented for various Froude numbers.

공작기계 주축 유도전동기의 속도 센서리스 토크 감시 (Speed Sensorless Torque Monitoring Of Induction Spindle Motor On Machine Tool)

  • 홍익준;권원태
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 2002년도 추계학술대회 논문집
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    • pp.18-23
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    • 2002
  • In this paper, The torque of CNC spindle motor during machining is estimated without speed measuring sensor. The CNC spindle system is divided into two parts, the induction spindle motor part and mechanical part. In mechanical part the variation of the frictional force due to the increment of the cutting torque and the effect of damping coefficient is investigated. Damping coefficient is found to be a function of spindle speed and not influenced by the weight of the load, while frictional force is a function of both the cutting torque and spindle speed. Experimental formulars are drawn for damping coefficient as a function of spindle speed and frictional force as a function of both cutting torque and spindle speed respectively, to estimate the cutting torque accurately. Graphical programming is used to implement the suggested algorithm, to monitor the torque of an induction motor in real time. Torque of the spindle induction motor is well monitored with 3% error range under various cutting conditions.

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3 차원 시간영역 근사비선형 2 차경계요소법에 의한 선체의 대진폭 운동 및 파랑하중 계산 (Estimation of Large Amplitude Motions and Wave Loads of a Ship Advancing in Transient Waves by Using a Three Dimensional Time-domain Approximate Body-exact Nonlinear 2nd-order BEM)

  • 홍도천;홍사영;성홍근
    • 대한조선학회논문집
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    • 제47권3호
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    • pp.291-305
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    • 2010
  • A three-dimensional time-domain calculation method is of crucial importance in prediction of the motions and wave loads of a ship advancing in a severe irregular sea. The exact solution of the free surface wave-ship interaction problem is very complicated because of the essentially nonlinear boundary conditions. In this paper, an approximate body nonlinear approach based on the three-dimensional time-domain forward-speed free-surface Green function has been presented. The Froude-Krylov force and the hydrostatic restoring force are calculated over the instantaneous wetted surface of the ship while the forces due to the radiation and scattering potentials over the mean wetted surface. The time-domain radiation and scattering potentials have been obtained from a time invariant kernel of integral equations for the potentials which are discretized according to the second-order boundary element method (Hong and Hong 2008). The diffraction impulse-response functions of the Wigley seakeeping model advancing in transient head waves at various Froude numbers have been presented. A simulation of coupled heave-pitch motion of a long rectangular barge advancing in regular head waves of large amplitude has been carried out. Comparisons between the linear and the approximate body nonlinear numerical results of motions and wave loads of the barge at a nonzero Froude number have been made.