• 제목/요약/키워드: Algebraic method

검색결과 614건 처리시간 0.024초

정현상으로 Taper진 부재의 고유진동수 (Natural Frequencies of Sinusoidally Nonsymmetrically Tapered Members)

  • 강명진;안성기;이수곤
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2000년도 봄 학술발표회논문집
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    • pp.263-270
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    • 2000
  • It is generally known that the stress and displacement of a member or a system under dynamic load with frequency ω are magnified by the factor 1/[1-(ω/ω/sub 0/)sup/ 2/]. When the member assumes non-prismatic shape, the natural frequency, ω/sub 0/ is hard or impossible to determine if the conventional method are adopted. In these cases, the numerical methods are provide powerful tools for the solution of frequency problems. In this paper, finite element method is applied to determine the natural frequencies of the non-symmetrically tapered members. The shape of the member is assumed to change sinusoidally along its axis. The results obtained by finite element method are expressed by some simple algebraic equations. The estimated frequencies calculated by the proposed equations coincide well with those by the finite element method.

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핸드오버시 인증 대기시간 단축을 위한 성능 분석 (Performance Analysis for Reducing Authentication Time in Hand-over)

  • 신승수;서정만
    • 한국컴퓨터정보학회논문지
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    • 제9권3호
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    • pp.163-169
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    • 2004
  • 본 논문에서는 기존의 무선 PKI에서 키 교환방식의 키 교환 설정단계가 단순히 이산대수문제에 근거하여 수행되었지만 제안한 무선 PID 인증구조의 상호인증과정에서는 키 교환 설정단계에 타원곡선을 적용하였다. 제안한 무선 PH 구조 안에서의 핸드오버 방법은 CRL 검색시간을 단축시킬 수 있으므로 기존의 방법에 비하여 단축된 핸드오버 처리시간을 보여준다. 기존 알고리즘과 제안한 인증구조를 비교하여 실험해 보았을 때 호 도착율, 큐의 서비스율, 큐 사이즈 변화에 관계없이 제안한 인증 기법이 모든 환경에서 기존 알고리즘보다 우수한 성능을 보였다.

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Explicit Motion of Dynamic Systems with Position Constraints

  • Eun, Hee-Chang;Yang, Keun-Hyuk;Chung, Heon-Soo
    • Journal of Mechanical Science and Technology
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    • 제17권4호
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    • pp.538-544
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    • 2003
  • Although many methodologies exist for determining the constrained equations of motion, most of these methods depend on numerical approaches such as the Lagrange multiplier's method expressed in differential/algebraic systems. In 1992, Udwadia and Kalaba proposed explicit equations of motion for constrained systems based on Gauss's principle and elementary linear algebra without any multipliers or complicated intermediate processes. The generalized inverse method was the first work to present explicit equations of motion for constrained systems. However, numerical integration results of the equation of motion gradually veer away from the constraint equations with time. Thus, an objective of this study is to provide a numerical integration scheme, which modifies the generalized inverse method to reduce the errors. The modified equations of motion for constrained systems include the position constraints of index 3 systems and their first derivatives with respect to time in addition to their second derivatives with respect to time. The effectiveness of the proposed method is illustrated by numerical examples.

큐잉 모델을 이용한 핸드오버 시 인증 대기시간 분석 (Analysis for Authentication waiting time in Hand-over using Queueing Model)

  • 신승수;김덕술
    • 한국컴퓨터정보학회논문지
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    • 제10권2호
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    • pp.123-132
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    • 2005
  • 본 논문에서는 기존의 무선 PKI 에서 키 교환방식의 키 교환 설정단계가 단순히 이산대수문제에 근거하여 수행되었지만 제안한 무선 PKI 인증구조의 상호인증과정에서는 키 교환 설정단계에 타원곡선을 적용하였다. 제안한 무선 PKI 구조 안에서의 핸드오버 방법은 CRL검색시간을 단축시킬 수 있으므로 기존의 방법에 비하여 단축된 핸드오버 처리시간을 보여준다 기존 알고리즘과 제안한 인증구조를 비교하여 실험해 보았을 때 인증 대기시간이 제안한 인증 기법이 모든 란경에서 기존 알고리즘보다 우수한 성능을 보였다.

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COMBINED LAPLACE TRANSFORM WITH ANALYTICAL METHODS FOR SOLVING VOLTERRA INTEGRAL EQUATIONS WITH A CONVOLUTION KERNEL

  • AL-SAAR, FAWZIAH M.;GHADLE, KIRTIWANT P.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제22권2호
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    • pp.125-136
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    • 2018
  • In this article, a homotopy perturbation transform method (HPTM) and the Laplace transform combined with Taylor expansion method are presented for solving Volterra integral equations with a convolution kernel. The (HPTM) is innovative in Laplace transform algorithm and makes the calculation much simpler while in the Laplace transform and Taylor expansion method we first convert the integral equation to an algebraic equation using Laplace transform then we find its numerical inversion by power series. The numerical solution obtained by the proposed methods indicate that the approaches are easy computationally and its implementation very attractive. The methods are described and numerical examples are given to illustrate its accuracy and stability.

A Tuning Algorithm for LQ-PID Controllers using the Combined Time - and Frequency-Domain Control Method

  • Kim, Chang-Hyun;Lee, Ju;Lee, Hyung-Woo
    • Journal of Electrical Engineering and Technology
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    • 제10권3호
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    • pp.1244-1254
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    • 2015
  • This paper proposes a new method for tuning a linear quadratic - proportional integral derivative controller for second order systems to simultaneously meet the time and frequency domain design specifications. The suitable loop-shape of the controlled system and the desired step response are considered as specifications in the time and frequency domains, respectively. The weighting factors, Q and R of the LQ controller are determined by the algebraic Riccati equation with respect to the limiting behavior and target function matching. Numerical examples show the effectiveness of the proposed LQ-PID tuning method

단일추진제 추진시스템의 과도기유체 해석 (A fluid transient analysis for the propellant flow in a monopropellant propulsion system)

  • 채종원;한조영
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2005년도 춘계 학술대회논문집
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    • pp.173-181
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    • 2005
  • A fluid transient analysis for the propellant flow in a monopropellant propulsion system is conducted using the method of characteristics (MOC). Algebraic simultaneous equations method and Clamor's rule method utilized to drive the compatible and characteristic equations are reviewed to understand MOC more extensively. The identification of fluid transient phenomena of propulsion system of Koreasat 1 is carried out through parametric studies. Also this work describes the reason that the propulsion system of Koreasat 1 has no orifice to control flow transients or to limit the initial hydrazine flow rate for the first-pulse firing.

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그린 함수를 이용한 가선-판토그래프 계의 운동해석 (Analysis of Catenary-Pantograph Motion by Green's Function)

  • 임진수
    • 대한기계학회논문집
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    • 제16권8호
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    • pp.1438-1445
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    • 1992
  • 본 연구에서는 그린(green)의 함수를 사용한 가선-판토그래프 계 운동 해석 방법을 개발하였다. 이 방법은 집중질량 방법이나 모우드 해석법에 비하여 더욱 해 석적이며, 모우드 해석법과는 달리 고유 진동수나 진동형의 계산이 필요하지 않다.

단일추진제 추진시스템의 과도기유체 해석 (A FLUID TRANSIENT ANALYSIS FOR THE PROPELLANT FLOW IN A MONOPROPELLANT PROPULSION SYSTEM)

  • 채종원
    • 한국전산유체공학회지
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    • 제10권2호
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    • pp.69-81
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    • 2005
  • A fluid transient analysis for the propellant flow in a monopropellant propulsion system is conducted by using the method of characteristics(MOC). It reviews algebraic simultaneous equations method and Cramer's rule method utilized to drive the compatible and characteristic equations to understand MOC extensively. The identification of fluid transient phenomena of propulsion system of Koreasat 1 is carried out through parametric studies. The valve response time is one of the dominant parameters governing the fluid transient phenomena. The results show that the shorter closing time induces the greater pressure response amplitude. And it shows that the installation of in-line orifice is effectively to limit the fluid transients in rapid valve response time and at high pressure. But it seems that the effect of orifice weakens at slow valve response time and at low pressures.

A Comparison Study of Real-Time Solution to All- Attitude Angles of an Aircraft

  • Shin Sung-Sik;Lee Jung-Hoon;Yoon Sug-Joon
    • Journal of Mechanical Science and Technology
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    • 제20권3호
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    • pp.376-381
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    • 2006
  • In this paper, the quaternion, the dual Euler, and the direction cosine methods are numerically compared using a non-aerodynamic 6 degree-of-freedom rigid model at all-attitude angles of an aircraft. The dual Euler method turns out to be superior to the others in the applications because it shows better numerical accuracy, stability, and robustness in integration step sizes. The dual Euler method is affordably less efficient than the quaternion method in terms of computational cost. Numerical accuracy and stability, which allow larger integration step sizes, are more critical in modern real-time applications than computational efficiency because of today's increased computational power. If the quaternion method is required because of constraints in computation time, then a suppression mechanism should be provided for algebraic constraint errors which will eventually add computational burden.