• Title/Summary/Keyword: 일반화된 $\alpha$ 방법

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A predictor-corrector algorithm of the generalized-$\alpha$ method for analysis of structural dynamics (동적해석을 위한 일반화된$\alpha$ 방범의 예측 수정자 알고리즘)

  • ;Hulbert, Gregory M.
    • Journal of KSNVE
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    • v.5 no.2
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    • pp.207-213
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    • 1995
  • A new predictor-corrector explicit time integration algorithm is presented for solving structural dynamics problems. The basis of the algorithm is the implicit generalized-.alpha. method recently developed by the authors. Like its implicit parent, the explicit generalized-$\alpha$ method is a one- parameter family of algorithms in which the parameter defines the high-frequency numerical dissipation. The algorithm can be utilized effectively for linear and nonlinear structural dynamics calculations is which numerical dissipation is needed to reduce spurious oscillations inherent in non-dissipative time integration methods used to solve wave propagation problems.

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Dynamic Analysis of a Flexible Spinning Disk with Angular Acceleration Considering Nonlinearity (비선형성을 고려한 각가속도를 갖는 유연 회전원판의 동적 해석)

  • 정진태;정두한
    • Journal of KSNVE
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    • v.9 no.4
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    • pp.806-812
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    • 1999
  • Dynamic behaviors are analyzed for a flexble spinning disk with angular acceleration, considering geometric nonlinearity. Based upon the Kirchhoff plate theory and the von Karman strain theory, the nonlinear governing equations are derived which are coupled equations with the in-plane and out-of-planedisplacements. The governing equations are discretized by using the Galerkin approximation. With the discretized nonlinear equations, the time responses are computed by using the generalized-$\alpha$ method and the Newton-Raphson method. The analysis shows that the existence of angular acceleration increases the displacements of the spinning disk and makes the disk unstable.

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Analog계산기에 의한 2상유도전동기의 Transient dynamic braking의 해석

  • 황희륭
    • 전기의세계
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    • v.13 no.1
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    • pp.6-15
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    • 1964
  • 전기적 기계적 에너지 변환장치로서의 2상유도전동기 braking 현상의 고도적인 dynamics를 정확히 고찰하기 위하여 직류제동과 프라킹(plugging)의 두 현상을 취급하였는데, Larangian 방법에 의하여 도출된 일반화된 전기기계의 운동방정식을 선형변환으로서 .alpha..betha.dq 변환, +-, fb변환 등을 행하여 변형시킨 식에 위 각 현상의 조건을 대입 계산으로 푸는 한편, 적의 비선형성을 갖는 운동방정식을 analog전자계산기에 씨뮤레이트한 후 각 조건 및 정수를 변화시켜 현상을 고찰하여 위 계산으로 얻은 곡선과 비교하였고, 다음에 실제기계의 실험으로 구한 자료를 첨가하였다.

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Effects of Gravity and Angular Velocity Profiles on the Dynamic Behavior of an Automatic Ball Balancer (자동볼평형장치의 동적거동에 미치는 중력과 속도파형의 영향)

  • Jung, Du-Han;Chung, Jin-Tai
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.5
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    • pp.511-516
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    • 2004
  • The dynamic behavior of an automatic ball balancer (ABB) is studied considering the effects of gravity and angular velocity profiles. In this study, a physical model for an ABB installed on the Jeffcott rotor is adopted in order to investigate the effects of gravity and angular acceleration. The equations of motion for the rotor with ABB are derived by using Lagrange's equation. Based on derived equations, dynamic responses for the rotor are computed by using the generalized-o method. From the computed responses, the effects of gravity and angular velocity profiles on the dynamic behavior are investigated. It is found that the balancing of the rotor with ABB can be achieved regardless of gravity. It Is also shown that a smooth velocity profile yields relatively smaller vibration amplitude than a non-smooth velocity profile.

Estimation of target distance based on fractional Fourier transform analysis of active sonar linear frequency modulation signals (능동소나 linear frequency modulation 신호의 fractional Fourier transform 분석에 기반한 표적의 거리 추정)

  • Hyung, Sungwoong;Park, Myungho;Hwang, Soobok;Bae, Keunsung
    • The Journal of the Acoustical Society of Korea
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    • v.35 no.1
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    • pp.8-15
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    • 2016
  • As a generalized form of the conventional Fourier transform, fractional Fourier transform (FrFT) can analyze a signal at intermediate domain between time and frequency domains with a transform order ${\alpha}$. Especially, FrFT has a number of advantages in the analysis of LFM (Linear Frequency Modulation) signals due to its robustness to noise. In this paper, we have proposed a new method to detect and estimate the distance of the target from the FrFT spectrum of the received echo signal. Experimental results have validated the proposed method, and shown that reliable target distance could be estimated in noise and reverberation environments.

Error Estimation and Adaptive Time Stepping Procedure for Structural Dynamics (구조동역학에서의 오차 추정과 시간간격 제어 알고리즘)

  • 장인식
    • Transactions of the Korean Society of Automotive Engineers
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    • v.4 no.4
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    • pp.190-200
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    • 1996
  • Step-by-step time integration methods are widely used for solving structural dynamics problem. One difficult yet critical choice an analyst must make is to decide an appropriate time step size. The choice of time step size has a significant effect on solution accuracy and computational expense. The objective of this research is to derive error estimate for newly developed time integration method and develop automatic time step size control algorithm for structural dynamics. A formula for computing error tolerance is derived based on desired period resolution. An automatic time step size control strategy is proposed based on a normalized local error estimate for the generalized-α method. Numerical examples demonstrate the developed strategy satisfies general design criteria for time step size control algorithm for dynamic problem.

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The Review of Instrumental Neutron Activation Analysis by $k_0$-standardization method ($k_0$-표준화방법에 의한 기기중성자방사화 분석법의 고찰)

  • Moon, Jong-Hwa;Chung, Yong-Sam;Kim, Sun-Ha
    • Analytical Science and Technology
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    • v.14 no.4
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    • pp.1075-1081
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    • 2001
  • Instrumental Neutron Activation Analysis as a representative method of nuclear analytical technique, has advantages of non-destructive, simultaneous multi-element analysis with the characteristics of absolute measurement method. Up to date, $k_0$-quantitative method which is accurate, convenient and user-friendly, has been generalized world-widely. In this study, it is intented to introduce the general concept of $k_0$-method and to measure $k_0$-parameters for the future implementation to our NAA system. For this objectives, the definition of relevant factors for the quantitative analysis and the equation for the experimental determination of parameters such as $Q_0$(${\alpha}$) and f were summarized. Furthermore, a foundation for the $k_0$-standardization method was prepared through the measurement of ${\alpha}$ and f-value which depend on the specific character of irradiation hole at NAA#1-hole of HANARO research reactor.

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Is that possible to simulate daily runoff with one parameter? (하나 매개변수로 유출 모의 가능한가?)

  • Noh, Jaekyoung;An, Hyunuk;Lee, Jaenam
    • Proceedings of the Korea Water Resources Association Conference
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    • 2017.05a
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    • pp.29-29
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    • 2017
  • 유역의 물수지를 강수, 증발산, 토양수분저류, 유출 등 성분으로 구성하고, 토양수분저류 상태에 따라 증발산과 유출이 변화하는 식을 기본식으로 구성하였으며, 물수지를 개선하는 매개변수를 변수화하는 개념을 도입하여 다음 식의 모형을 개발하였다. 여기서, ETa는 실제증발산량, ETo는 잠재증발산량, Q는 유출량, S는 토양수분저류량이고, C1은 증발산, C2, ${\alpha}$는 유출반응, C3, C4는 매개변수 ${\alpha}$를 변수화시키는 데 관련한 매개변수이다. $$ETa(i)=(1-e^{-c1{\times}s(i)}){\times}ETo_{(i)}$$ $$Q_{(i)}=S_{(i)}{\times}(1-e^{-c2{\times}s(i)})^{[(c3+e^{-c4{\times}s(i)}){\times}a]}$$ 모형의 검증을 위해 Monte Calro 기법으로 최적 매개변수를 결정한 결과 수많은 매개변수 조합이 최적영역에 분포되는 것을 확인하였으며, 이를 바탕으로 매개변수 하나만 남겨 놓고 나머지 매개변수는 상수화시켜도 모의결과가 똑같다는 결과를 관찰하였으며, 이를 토대로 하나 매개변수만으로 일 유출 모의가 가능하다고 결론을 내렸다. 하나의 매개변수는 ${\alpha}$를 우선 추천하고, C1도 유역의 토지이용에 따라 증발산이 변화하기 때문에 의미있다고 판단하고 있다. 하나의 매개변수를 결정하는 방법은 유출 자료가 있으면 유출량으로, 없으면 유출률을 맞추는 방법이며, 일반화하기 쉽고 실용성이 매우 높은 것으로 평가된다. 유역면적 $209km^2$인 보령댐의 2007년부터 2009년까지 Monte Calro 기법으로 매개변수를 결정한 결과 C1=0.0196, C2=0.0023, C3=0.3230, C4=0.0051, ${\alpha}=2.3304$ 이었으며, 이 때 연평균 강우량 1221.2mm, 유출량 651.2mm, 유출률 53.3%이었으며, $R^2=0.833$, RMSE=2.073, NSE=0.831이었고, 관측 유출량 610.8mm, 유출률 50.0%였다. 매개변수 C1, C2, C3, C4를 고정시키고 유출률 50%에 이를 때 ${\alpha}$는 2.6946이었으며, 이 때 $R^2=0.831$, RMSE=2.102, NSE=0.826이었고, 매개변수 C2, C3, C4, ${\alpha}$를 고정시키고 유출률 50%에 이를 때 C1은 0.0255이었으며, 이 때 $R^2=0.833$, RMSE=2.083, NSE=0.829이었다. 한편 똑같은 자료로 탱크모형은 $R^2=0.79$, RMSE=2.43, NSE=0.77이었고, SWAT 모형은 $R^2=0.56$, RMSE=3.97, NSE=0.40으로 나타난 것과 비교할 때, 개발된 모형의 성능이 우수한 것이라 결론내릴 수 있었다.

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A study on validity and reliability of students' evaluation (강의평가의 타당성과 신뢰성에 관한 연구 전주대학교 강의평가 결과를 중심으로)

  • Lee, Ki-Hoon
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.1
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    • pp.87-98
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    • 2010
  • This research deals the method to assess the validity and reliability of students' evaluation for lectures. Most papers for student's evaluation have focused the procedures for controlling the external effects, but this paper is trying to answer for "How reliable is the student rating?" An empirical study shows that the evaluations in Jeonju University have the fair validity and reliability. The generalizability theory is suggested to obtain the more comprehensive results rather than Cronbach's alpha to examine internal consistency.

An Application of Generalizability Theory to Self-introduction Letter and Teacher's Recommendation Letter Used in Identification of Mathematical Gifted Students by Observations and Nominations (관찰.추천에 의한 수학영재 선발 시 사용되는 자기소개서와 교사추천서 평가에 대한 일반화가능도 이론의 활용)

  • Kim, Sung-Chan;Kim, Sung-Yeun;Han, Ki-Soon
    • Communications of Mathematical Education
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    • v.26 no.3
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    • pp.251-271
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    • 2012
  • The purpose of this study is: 1) to determine error sources and the effects of each error source, 2) to investigate optimal measuring conditions from holistic and analytic scoring methods, and 3) to compare the value of reliability between Cronbach's alpha and the generalizability coefficient in self-introduction letter and teacher's recommendation letter based on the generalizability theory in identification of mathematical gifted students by observations and nominations. Data of this study were collected from the science education institute for the gifted attached to the university located within in a capital city for the 2011 academic year. Scores form two raters using holistic and analytic scoring methods in both assessment types were used. The results of this study were as follows. First, as to both assessment types, error sources for people were relatively large regardless of scoring methods. However, error sources for raters in holistic scoring methods had a more significant impact than those of analytic scoring methods. Second, to set optimal measuring conditions in the self-introduction letter and teacher's recommendation letter, if we fixed the number of raters into 2 based on holistic scoring methods, at least 5 and 10 content domains were needed, respectively. In addition, the number of items in teacher's recommendation letter should be more than 3 when we fixed the number of content domains into 4, and the number of items in self-introduction letter should be more than 8 when we fixed the number of content domains into 6 using analytic scoring methods. Third, Cronbach's alpha having only a single source of errors was higher than the generalizability coefficient regardless of assessment types and scoring methods. Hence we recommend that generalizability coefficient based on various error sources such as raters, content domains, and items should be considered to keep a satisfactory level of reliability in both assessment types.