• Title/Summary/Keyword: 미분대수방정식

Search Result 50, Processing Time 0.022 seconds

On freshmen's academic achievements of college mathematics and the efficient methods of education (이공계열 대학 신입생의 기초 수학분야 학업성취도 및 효율적인 교육 방안에 대한 연구)

  • Kim, Byung Hak;Kim, Jae Woong;Kim, Jiyun
    • Communications of Mathematical Education
    • /
    • v.31 no.1
    • /
    • pp.1-15
    • /
    • 2017
  • The university entrance examination in deeply related to high school education, adaptation and study ability in university. In this point of view, we investigate the scholastic achievement to the Calculus 1,2, linear algebra and differential equation from academic year 2006 to 2016. The above four subjects contain elementary and essential contents to study for science and engineering major in university. We compare and analyse the data of scholastic achievement and system of various university entrance examination, and we discuss and propose the methods of improvements for adaptation to each major field and study ability.

Development of an Adaptive e-Learning System for Engineering Mathematics using Computer Algebra and Bayesian Inference Network (컴퓨터 대수와 베이지언 추론망을 이용한 이공계 수학용 적응적 e-러닝 시스템 개발)

  • Park, Hong-Joon;Jun, Young-Cook
    • The Journal of the Korea Contents Association
    • /
    • v.8 no.5
    • /
    • pp.276-286
    • /
    • 2008
  • In this paper, we introduce an adaptive e-Learning system for engineering mathematics which is based on computer algebra system (Mathematica) and on-line authoring environment. The system provides an assessment tool for individual diagnosis using Bayesian inference network. Using this system, an instructor can easily develop mathematical web contents via web interface. Examples of such content development are illustrated in the area of linear algebra, differential equation and discrete mathematics. The diagnostic module traces a student's knowledge level based on statistical inference using the conditional probability and Bayesian updating algorithm via Netica. As part of formative evaluation, we brought this system into real university settings and analyzed students' feedback using survey.

Dynamic Analysis of Multibody Systems Undertaking Impulsive Force using Kane's Method (충격하중을 받는 시스템의 케인 방법을 이용한 다물체 동역학 해석)

  • 김상국;박정훈;유홍희
    • Transactions of the Korean Society of Automotive Engineers
    • /
    • v.6 no.3
    • /
    • pp.169-176
    • /
    • 1998
  • A method for the dynamic analysis of multibody systems undertaking impulsive force is introduced in this paper. A partial velocity matrix based on Kane's method is introduced to reduce the number of equations to be solved. Only minimum number of equations of motion can be obtained by using the partial velocity matrix. This reduces the computational effort significantly to obtain the dynamic response of the system. At the very moment of the impulse, instead of using the numerical integrator to solve the equations of motion, the impulse and momentum principle is used to obtain the dynamic response. The impulse as wall as the reaction force acting on the kinematic joints can easily calculated too.

  • PDF

Development of Truck Crane Analysis Program with Boom Flexibility (붐의 유연성을 고려한 트럭크레인의 설계 전용 동력학 해석 프로그램 개발)

  • 박찬종
    • Journal of the Korean Society of Manufacturing Technology Engineers
    • /
    • v.7 no.6
    • /
    • pp.28-35
    • /
    • 1998
  • Computer simulation technique has been applied on the various engineering fields to reduce cost and development period. On this paper, we introduce a crane analysis program. Using this program, we can predict reaction force of each part or supporting force of truck crane on a personal computer system with out exclusive knowledge of multi-body dynamics. In order to consider the effect of boom flexibility according to each working condition, flexible dynamic theory is applied to the program. Actual crane model is analyzed on special work condition using this program and the results are compared with those of rigid boom model.

  • PDF

A Study on the Russian National Curriculum for Training of Mathematics Teachers at Universities (러시아의 수학교사 양성을 위한 국가 수준 교육과정에 대한 연구)

  • 한인기;신현용
    • The Mathematical Education
    • /
    • v.42 no.5
    • /
    • pp.595-606
    • /
    • 2003
  • In this paper we analyze the Russian national curriculum for training of mathematics teachers at universities published by Russian Ministry of Education. From the document we are able to know the structure of the curriculum, compulsory subjects, and minimum mathematical contents for training mathematics teachers at universities.

  • PDF

Dynamic analysis of electromechanical system (기전 시스템의 동역학 해석)

  • 김진식;박정훈;임홍재
    • Proceedings of the Korean Society of Precision Engineering Conference
    • /
    • 2004.10a
    • /
    • pp.1113-1118
    • /
    • 2004
  • This paper presents the dynamic analysis method for an electromechanical system. The engineer has at his disposal a variety of software simulation tools. However, difficulties arise when the study of the behavior of complex electromechanical systems in combination with coupling element is required. Typical examples of such systems are machines for factory automation, home automation, and office automation. Dynamic systems analysis packages or electronic systems analysis packages offer the restrictive to simulate these mixed systems such electromechanical product. Electronic circuit analysis algorithm is easily incorporated into a multi-body dynamics analysis algorithm. The governing equation of electronic circuit is formulated as a differential algebraic equation form including both electrical and mechanical variables and is simultaneously solved in every time step. This analysis method clearly demonstrates the application potential for mixed electromechanical simulation.

  • PDF

Dynamic Characteristics Analysis of an Escalator Using a Computer Model (전산모델을 이용한 에스컬레이터의 동특성 해석)

  • Park, Chan-Jong;Kwon, Yi-Sug;Park, Tae-Won
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.16 no.4 s.97
    • /
    • pp.95-101
    • /
    • 1999
  • In this paper, we propose a dynamic model of an escalator which can be used to build a design database. The model permits to estimate the forces applied to the structure by calculating three primary types of forces; the torque required to operate the escalator, the reaction forces at part interconnection points, and contact forces between parts. These forces can then be used to calculate dynamic stresses in the structure which is required to estimate the durability of the structure. Result of the computer model are compared with testing results. This simulation model is used to construct a design database. So when we design a new escalator, this design database can be used to make a new simulation model which makes it possible for us to do a Knowledge-Based-Design.

  • PDF

Natural Frequency and Mode Shape Sensitivities of Non-Proportionally Damped Systems : Part 1, Distinct Natural Frequencies (비중복 고유치를 갖는 비비례 감쇠계의 고유치와 고유벡터의 민감도 해석법)

  • 김동옥;김주태;오주원;이인원
    • Journal of the Computational Structural Engineering Institute of Korea
    • /
    • v.12 no.1
    • /
    • pp.95-102
    • /
    • 1999
  • 본 연구에서는 중복되지 않는 고유치를 갖는 비비례 감쇠계의 고유치와 고유벡터의 민감도를 계산하는 새로운 방법을 제시하였다. 제안 방법에서는 (n+1)차의 대칭 행렬로 이루어진 대수방정식을 해석함으로써 n개의 자유도를 갖는 감쇠계의 고유치와 고유벡터의 설계변수에 대한 미분을 구한다. 제안 방법은 매우 간단하면서도 수치적 안정성이 보장되고 정확한 해를 주는 방법이다. 제안 방법의 검증을 위해 7자유도를 갖는 차량모델의 민감도해석을 예제에서 다루고 있다. 예제에서의 설계변수는 콘테이너의 질량으로 하였다.

  • PDF

Natural Frequency and Mode Shape Sensitivities of Non-Proportionally Damped Systems : Part II, Multiple Natural Frequencies (중복 고유치를 갖는 비비례 감쇠계의 고유치와 고유벡터의 민감도 해석법)

  • 김동옥;김주태;박선규;이인원
    • Journal of the Computational Structural Engineering Institute of Korea
    • /
    • v.12 no.1
    • /
    • pp.103-109
    • /
    • 1999
  • 본 연구에서는 중복 고유치를 갖는 비비례 감쇠 진동계의 고유치와 고유벡터의 민감도를 계산하는 새로운 방법을 제시하였다. 제안 방법은 매우 간단하면서도 수치적 안정성이 보장되고 정확한 해를 주는 방법이다. 제안 방법에서는 (n+m)차의 대칭 행렬로 이루어진 대수방정식을 해석함으로써 n개의 자유도를 갖는 감쇠계에 있어서 m차의 중복도를 갖는 고유치와 고유벡터의 설계변수에 대한 미분을 구한다. 제안 방법의 검증을 위해 5자유도를 갖는 단순구조물의 민감도해석을 예제에서 다루고 있다. 예제에서의 설계변수는 모델의 부분강성으로 하였다.

  • PDF

Dynamic Analysis of the Pantograph of a High-speed Electrical Train Considering Contact and Separation (고속 전철 급전기의 접촉 분리를 고려한 동역학적 해석)

  • Lee, Ki-Su
    • Transactions of the Korean Society for Noise and Vibration Engineering
    • /
    • v.16 no.6 s.111
    • /
    • pp.634-642
    • /
    • 2006
  • For the analysis of dynamic contact between a catenary and a pantograph of high-speed electrical train, the numerical solution of the equations of motion of the vehicle pantograph and the catenary system subjected to the contact condition is obtained. The whole equations of motion of the catenary and the pantograph are simultaneously time integrated with the strict application of the contact condition. For the stability of the numerical solution, with the cubic spline interpolation of the catenary displacement, the velocity and acceleration constraints as well as the displacement constraint are imposed on the contact point. Especially it is shown that the Coriolis and centripetal accelerations are critical for the accuracy and stability of the computation.