• 대한화학회지
• /
• 제22권4호
• /
• pp.229-238
• /
• 1978

Spherical harmonic의 전개방법과 쌍극자모멘트의 행렬요소를 Mulliken의 overlap integral로 전환시키는 방법을 사용하여 쌍극자모멘트의 행렬요소를 계산하는 두가지 방법을 발전시켰다. 이 두 방법에 의하여 계산한 쌍극자모멘트행렬요소의 값은 서로 일치하였다.

• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• 제21권4호
• /
• pp.215-224
• /
• 2017

The moment closure method is an approximation method to compute the moments for stochastic models of chemical reaction systems. In this paper, we develop an analytic estimation of errors generated from the approximation of an infinite system of differential equations into a finite system truncated by the moment closure method. As an example, we apply the result to an essential bimolecular reaction system, the dimerization model.

• 한국해양공학회지
• /
• 제6권2호
• /
• pp.41-45
• /
• 1992

In this paper an application technique of moment equation method to solution of nonlinear rolling equation of motion of ships is investigated. The exciting moment in the equation of rolling motion of ships is described as non-white noise. This non-white exciting moment is generated through use of a shaping filter. These coupled equations are used to generate moment equations. The nonstationary responses of the nonlinear system are obtained. The results are compared with those of a linear system.

• 한국소음진동공학회논문집
• /
• 제26권3호
• /
• pp.323-330
• /
• 2016

This paper describes real-time unbalance moment compensation method for line of sight(LOS) stabilization control systems. The factors of system inertia, frictions and unbalance moment affect the control accuracy of drive systems that are equipped to on the move(OTM) platforms requiring LOS stabilization function. In case of the unbalance moment among those factors is continuously changed as variation of relative angle between gravity vector and drive torque vector. Then, consideration of the effect in real-time is very complicate. Therefore, its effect should be designed to be minimized, however, designing it almost zero is impossible in real condition. In other words, it is hard to achieve target performance overcoming stability issue of highly unbalanced systems. To solve these problems, this paper proposes calculation method of unbalance moment by using measured sensor data for LOS stabilization control and its use for control compensation. Also, kinematical converting process and control structure for compensation are explained. The effectiveness of the proposed method as variation of unbalance moment is verified under simulation circumstance modeled by assuming LOS control system with 2-axis gimbal structure.

• Journal of Mechanical Science and Technology
• /
• 제20권10호
• /
• pp.1662-1669
• /
• 2006

Since randomness and uncertainties of design parameters are inherent, the robust design has gained an ever increasing importance in mechanical engineering. The robustness is assessed by the measure of performance variability around mean value, which is called as standard deviation. Hence, constraints in robust optimization problem can be approached as probability constraints in reliability based optimization. Then, the FOSM (first order second moment) method or the AFOSM (advanced first order second moment) method can be used to calculate the mean values and the standard deviations of functions describing constraints and object. Among two methods, AFOSM method has some advantage over FOSM method in evaluation of probability. Nevertheless, it is difficult to obtain the mean value and the standard deviation of objective function using AFOSM method, because it requires that the mean value of function is always positive. This paper presented a special technique to overcome this weakness of AFOSM method. The mean value and the standard deviation of objective function by the proposed method are reliable as shown in examples compared with results by FOSM method.

• 대한전자공학회:학술대회논문집
• /
• 대한전자공학회 2000년도 하계종합학술대회 논문집(4)
• /
• pp.11-14
• /
• 2000

We present an image retrieval method that improves retrieval rate by using the fusion of histogram and wavelet moment features. The key idea is that images similar to a query image are selected in DB by using the wavelet moment features. Then the result images are retrieved from the selected images by using histogram method. In order to evaluate the performance of the proposed method, we use Brodatz texture database, MPEG-7 T1 database and Corel Draw photo. Experimental result shows that the proposed method is better than each of histogram method and wavelet moment method.

• 한국정밀공학회:학술대회논문집
• /
• 한국정밀공학회 2001년도 춘계학술대회 논문집
• /
• pp.177-180
• /
• 2001

This paper describes the calibration method and the evaluation method of relative expanded uncertainty for a multi-axis force/moment sensor. This sensor should be calibrated to be use in the industry. Now, the confidence of the calibration result is expressed with interference error. But it is no inaccurate, because an interference error, besides, a reproducibility error of the sensor, a error of this six-axis force/moment sensor calibrator, and so on. Thus, in order to accurately evaluate the relative expanded uncertainty of it, the concept of the uncertainty should be induced, and these errors must be contained in the relative expanded uncertainty. In this paper, the calibration method is exhibited and the evaluation method of the relative expanded uncertainty is also exhibited. And, a six-axis force/moment sensor was calibrated and the relative expanded uncertainty was evaluated.

• International Journal of Precision Engineering and Manufacturing
• /
• 제3권3호
• /
• pp.5-11
• /
• 2002

This paper describes the methods for calibration and evaluation of the relative expanded uncertainty of a multi-axis force/moment sensor. In order to use the sensor in the industry, it should be calibrated and its relative expanded uncertainty should be also evaluated. At present, the confidence of the sensor is shown with only interference error. However, it is not accurate, because the calibrated multi-axis force/moment sensor has an interference error as well as a reproducibility error of the sensor, etc. In this paper, the methods fur calibration and for evaluation of the relative expanded uncertainty of a multi-axis force/moment sensor are newly proposed. Also, a six-axis force/moment sensor is calibrated with the proposed calibration method and the relative expanded uncertainty is evaluated using the proposed uncertainty evaluation method and the calibration results. It is thought that the methods fur calibration and evaluation of the uncertainty can be usually used for calibration and evaluation of the uncertainty of the multi-axis force/moment sensor.

• KSBB Journal
• /
• 제15권1호
• /
• pp.60-65
• /
• 2000

크로마토그래피의 거동을 수치 모사하기 위하여, retention time method와 moment method에 의해 계산된 파라미터들을 흡착 등온선 모델식에 사용하였다. 이 경우, 이론치와 비교하기 위해서 등용매 조건하게 유기산 이온 크로마토그래피 실험을 수행하였고, 크로마토그램의 거동을 설명하는 수학적 모델로 equilibrium-dispersive model을 사용하였다. Moment method에서는 평균체류시간을 나타내는 1차 모멘트, $m^2$1와 분배 계수 K의 관계로 나타낼 수 있으며, 실험을 통해 분배 계수는 쉽게 구해 질 수 있다. 운전 변수의 변화에 따른 크로마토그램의 특성을 살펴보기 위해서 유기산의 농도, 이동상의 유속, 용리액의 이온 강도 그리고 용질의 주입량을 변화시켜 수치모사를 수행하였다. 각각의 조건에 대해서 크로마토그램은 용질의 농도가 증가할수록, 유속이 증가할수록, 이온 강도가 증가할수록 평균 체류 시간이 감소하고 날카로운 피크를 얻을 수 있었으며, retention time method에서 보다 moment method와 data fitting에 의해 계산된 파라미터들이 실험치와 더 잘 일치함을 볼 수 있었다. 본 연구를 바탕으로, gradient 조건에서 유기산에 대한 이온 크로마토그래피의 거동 연구로 확장할 수 있다.

• Structural Engineering and Mechanics
• /
• 제38권6호
• /
• pp.825-847
• /
• 2011

This paper investigates the design using wind-moment method for semi-rigid un-braced steel frames bending on weak axis. A limiting sway method has been proposed to reduce the frame sway. Allowance for steel section optimization between moment of inertia on minor axis column and major axis beam was used in conjunction with slope-deflection analysis to derive equations for optimum design in the proposed method. A series of un-braced steel frames comprised of two, four, and six bays ranging in height of two and four storey were studied on minor axis framing. The frames were designed for minimum gravity load in conjunction with maximum wind load and vice-versa. The accuracy of the design equation was found to be in good agreement with linear elastic computer analysis up to second order analysis. The study concluded that the adoption of wind-moment method and the proposed limiting sway method for semi-rigid steel frame bending on weak axis should be restricted to low-rise frames not more than four storey.