• 제목/요약/키워드: Mathematical representation

검색결과 648건 처리시간 0.025초

홍수 예경보를 위한 하천유출의 수문학적 예측 (A Hydrologic Prediction of Streamflows for Flood forecasting and Warning System)

  • 서병하;강관원
    • 물과 미래
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    • 제18권2호
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    • pp.153-161
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    • 1985
  • 본 연구는 치수면에서 중요한 홍수 예경보 시스템을 좀 더 효율적으로 운영하고 그 시스템을 자동화하기 위한 하천 유출의수문학적인 예측방법의 개발에 관한 것으로 제어공학에서 상태공간개념으로부터 유도된 Kalman Filter 이론의 알고리즘을 파악하여 강우-유출계의 동적거동을 나타낼 수 있도록 예측 모형을 구성하고 Kalman Filter 의 적용 알고리즘을 도임하므로서 홍수시 하천유출의 on-line, 실시간 예측의 가능성을 제시하였다. 본 연구의 결과로 얻어진 전자계산 프로그램은 실제 하천유역의 실측자료로서 수정 보완하므로서 홍수 예경보 시스템의 자동화는 물로 그 시스템의 효율적인 운영방법 개선에 기여할 수 있을 것이다.

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Damping identification procedure for linear systems: mixed numerical-experimental approach

  • El-Anwar, Hazem Hossam;Serror, Mohammed Hassanien;Sayed, Hesham Sobhy
    • Earthquakes and Structures
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    • 제4권2호
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    • pp.203-217
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    • 2013
  • In recent decades, it has been realized that increasing the lateral stiffness of structure subjected to lateral loads is not the only parameter enhancing safety or reducing damage. Factors such as ductility and damping govern the structural response due to lateral loads. Despite the significant contribution of damping in resisting lateral loads, especially at resonance, there is no accurate mathematical representation for it. The main objective of this study is to develop a damping identification procedure for linear systems based on a mixed numerical-experimental approach, assuming viscous damping. The proposed procedure has been applied to a laboratory experiment associated with a numerical model, where a hollow rectangular steel cantilever column, having three lumped masses, has been fixed on a shaking table subjected to different exciting waves. The modal damping ratio has been identified; in addition, the effect of adding filling material to the hollow specimen has been studied in relation to damping enhancement. The results have revealed that the numerically computed response based on the identified damping is in a good fitting with the measured response. Moreover, the filling material has a significant effect in increasing the modal damping.

기계부품들의 조립 및 해체과정 설계를 위한 스크류이론의 응용 (An Application of Screw Motions for Mechanical Assemblies)

  • 김재정
    • 한국CDE학회논문집
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    • 제2권1호
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    • pp.60-67
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    • 1997
  • CAD systems offer a variety of techniques for designing and rendering models of static 3D objects and even of mechanisms, but relatively few tools exist for interactively specifying arbitrary movements of rigid bodies through space. Such tools are essential, not only for artistic animation, but also, for planning and demonstrating assembly and disassembly procedure of manufactured products. A rigid body motion is a continuous mapping from the time domain to a set of positions. To relieve the designers from the burden of specifying this mapping in abstract mathematical terms, combinations of simple rigid motion primitives, such as linear translations or constant axis rotations, are often used. These simple motions are planar and thus ill-suited for approximating arbitrary motions in 3D-space. Instead, we propose the screw motion primitive, a special combination of linear translations and constant axis rotations, which has a simple geometric representation that can be automatically and unambiguously computed from the starting and ending positions of the moving body. Although, any two positions may be interpolated by an infinity of motions, we chose the screw motion for its relative generality and its computational advantages. The paper covers original algorithms for computing the screw motions from interpolated positions and envelopes of swept regions to predict collisions.

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비트맵과 벡터방식을 혼합한 새로운 이미지 편집기 (New Image Editor based on Combination of Bitmap and Vector Method)

  • 김진호;이규남;나인호
    • 한국정보통신학회논문지
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    • 제6권2호
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    • pp.288-293
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    • 2002
  • 이미지 데이터는 표현 방식에 따라서 비트맵과 벡터 방식으로 나누어진다. 비트맵 방식은 이미지 데이터를 픽셀이라는 2차원 맵으로 구성한 것이며, 벡터방식은 주어진 2차원 또는 3차원 공간에 선이나 형상을 그리기 위해 일련의 명령어나 수학적 표현으로 나타낸 것이다. 따라서 서로 다른 방식의 이미지를 제작 및 편집하고 자 하는 경우에는 각기 다근 응용프로그램을 사용해야 하는 문제점이 있다. 본 논문에서는 비트맵과 벡터 방식을 혼합하여 하나의 응용프로그램에서 이미지의 제작 및 편집이 가능한 이미지 편집 도구의 설계 및 구현 방법에 대하여 기술하였다.

SVG를 이용한 컨벌루션 연산의 시각화 (Visualization of Convolution Operation Using Scalable Vector Graphics)

  • 김영미;강의성
    • 컴퓨터교육학회논문지
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    • 제10권1호
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    • pp.97-105
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    • 2007
  • 본 논문에서는 디지털 신호처리 및 영상처리 분야 등에서의 기본 연산이라고 할 수 있는 컨벌루션(convolution) 연산 과정을 웹을 위한 벡터 그래픽인 SVG(scalable vector graphics)를 이용하여 시각화하였다. 그런데, 컨벌루션 연산의 개념과 연산 과정은 주로 수학적인 표현에 의존하므로 그 개념을 직관적으로 이해하기는 다소 어려운 점이 있다. 본 논문에서는 SVG를 이용하여 컨벌루션의 연산 과정을 시각화하고 그에 대한 활용 예를 제시함으로써 학습자가 컨벌루션 연산을 보다 직관적으로 이해할 수 있도록 하였다. 본 논문에서 제시한 컨벌루션 연산의 시각화를 학습자들에게 적용한 결과를 면담을 통하여 분석한 결과, 학습자들이 컨벌루션 연산을 흥미를 가지고 학습에 임할 뿐만 아니라, 직관적으로 컨벌루션 연산을 이해할 수 있는 가능성을 볼 수 있었다.

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광대역 이동통신을 위한 적응등화기의 설계 (Design of adaptive equalizer for wide-band mobile communications)

  • 이찬복;최승원
    • 전자공학회논문지A
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    • 제32A권1호
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    • pp.14-25
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    • 1995
  • The main contribution of this paper can be summarized in two items as follws. Firstly, a modelling of mobile communication channel with Rayleigh fading characteristics is presented. Actual signal environments can be approximated as being real measurements by a proper mathematical representation of fluctuation of channel parameters due to Doppler effect, that is determined by the relative speed between transmitter and receiver, and noises, that vary at each sampling time. Secondly, an alternative procedure of synthesizing an adaptive equalizers is presented for recovering original signals that have been corrupted through the modelled channel. In order to compute the optimal tap coefficients for a high speed data(512 k symbol/sec) on a real-time basis, the CGM that guarantees fast and stable convergency is adopted during the training period of each frame. The coefficients obtained by the CGM are used as initial values for the LMS algorithm to trace the optimal coefficients during the data period that vary at each sampling time due to the mobility and noise at the receiver. Using the modelling presented in this paper, distributions of received signal power in various signal environments are demonstrated. The performance of the eqalizer proposed in this paper is shown as a function of BER under the various signal circumstances of mobile communications.

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Discretization of Nonlinear Systems with Delayed Multi-Input VIa Taylor Series and Scaling and Squaring Technique

  • Yuanliang Zhang;Chong Kil To
    • Journal of Mechanical Science and Technology
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    • 제19권11호
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    • pp.1975-1987
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    • 2005
  • An input time delay always exists in practical systems. Analysis of the delay phenomenon in a continuous-time domain is sophisticated. It is appropriate to obtain its corresponding discrete-time model for implementation via digital computers. In this paper a new scheme for the discretization of nonlinear systems using Taylor series expansion and the zero-order hold assumption is proposed. The mathematical structure of the new discretization method is analyzed. On the basis of this structure the sampled-data representation of nonlinear systems with time-delayed multi-input is presented. The delayed multi-input general equation has been derived. In particular, the effect of the time-discretization method on key properties of nonlinear control systems, such as equilibrium properties and asymptotic stability, is examined. Additionally, hybrid discretization schemes that result from a combination of the scaling and squaring technique (SST) with the Taylor series expansion are also proposed, especially under conditions of very low sampling rates. Practical issues associated with the selection of the method's parameters to meet CPU time and accuracy requirements, are examined as well. A performance of the proposed method is evaluated using a nonlinear system with time delay maneuvering an automobile.

액정 표시기의 구동효율 개선을 위한 중첩구동방식에 관한 연구 (A study on the overlap scanning method for the driving efficiency improvement of LC Displays)

  • 최선정;김용덕
    • 전자공학회논문지A
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    • 제31A권7호
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    • pp.110-116
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    • 1994
  • In this paper a Duty Effective Overlap Scanning method (DEOS) for the improvement of driving efficiency of LC displays which have the RMS voltage responding characteristics is proposed and new processing method of data signals for optimum application of this method is also proposed. Proposed method has a few advantages such as the increment of duty ratio the increment of driving power loaded on LC cell and the decrement of RMS voltage error rate caused by signal attenuation on electrodes composing of display when compared with the conventional method which is called as optimum voltage amplitude selection method. And also by adopting new data signal processing method which has 3 kinds of voltage levels additional advantage much improving crosstalk phenomenon which is the most serious problems of simple matrix structured display is obtained. For the characteristic estimation new mathematical representation for new overlap scanning method and data signal processing method are induced and defined. And by the defined formula and simulation the characteristics of the proposed method and the conventional method are compared and analyzed. As a result of estimation this new method being able to optimize the overlap rate of scan signal and using 3 levels of data signals has the characteristic which can improve the driving efficiency of LC displays.

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프린지 투영법을 이용한 실시간 3D 구강 내 스캐너의 개발 (Development of a Real-time 3D Intraoral Scanner Based on Fringe-Projection Technique)

  • ;이건수;박강
    • 한국CDE학회논문집
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    • 제17권3호
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    • pp.156-163
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    • 2012
  • Real-time three-dimensional shape measurement is becoming increasingly important in various fields, including medical sciences, high-technology industry, and microscale measurements. However, there are not so many 3D profile tools specially designed for specifically narrow space, for example, to scan the tooth shape of a human jaw. In this paper, a real-time 3D intraoral scanner is proposed for the measurement of tooth profile in the mouth cavity. The proposed system comprises a laser diode beam, a micro charge-coupled device, a graticule, a piezoelectric transducer, a set of optical lenses, and a polhemus device sensor. The phase-shifting technique is used along with an accurate calibration method for the measurement of the tooth profile. Experimental and theoretical inspection of the phase-to-coordinate relation is presented. In addition, a nonlinear system model is developed for collimating illumination that gives the more accurate mathematical representation of the system, thus improves the shape measurement accuracy. Experiment results are presented to verify the feasibility and performance of the developed system. The experimental results indicate that overall measurement error accuracy can be controlled within 0.4 mm with a variability of ${\pm}0.01$.

요리스 라만(Joris Laarman)의 3D프린터를 활용한 가구디자인에 관한 연구 (Study of Furniture Design Utilizing 3D Printers Joris Laarman)

  • 이현정
    • 한국가구학회지
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    • 제27권2호
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    • pp.128-136
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    • 2016
  • Digital designs that appear in the three-dimensional virtual space by the digital type are designed as there is not an image created with an organic artificially generated (Creation) and representation (Modifying), developed by the specific environment given. The advanced digital design will produce a result with an algorithm according to a mathematical operation and the environment and has the nature of generating the real world, changes, development and affinity (Genetic Process). The digital design process is largely defined by a set of processes that are consistently designed to integrate form of creation, reproduction, proceeds in three steps, while the manufacture and assembly as a form of maintenance as possible the intended form of control data from the concept of building. By Joris Laarman 3D printer design is a simulation created by the digital process by the various algorithms and design achieved through the development of 3D printers, such as new materials and MX3D. From the mold production of a complex whole by using a robot and other digital production tool extracts a variety of forms.