• 제목/요약/키워드: Problem of Moments

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L-모멘트 법 기반의 GEV 모형을 위한 확률도시 상관계수 검정 통계량 유도 및 회귀식 산정 (Derivation of Probability Plot Correlation Coefficient Test Statistics and Regression Equation for the GEV Model based on L-moments)

  • 안현준;정창삼;허준행
    • 한국방재안전학회논문집
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    • 제13권1호
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    • pp.1-11
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    • 2020
  • 수문 통계 분야에서 관측된 자료를 대표할 수 있는 확률분포 모형을 추정하는 일은 매우 중요한 문제이다. 이를 위해 표본 자료로부터 추정되는 확률분포 모형과 가정된 이론적 확률분포 모형의 일치 정도를 통해 적합도 검정을 수행한다. 확률 도시 상관계수 검정(PPCC)은 적합도 검정 방법 중 하나로 적용 방법이 간편하면서도 높은 기각력을 가지고 있다. 본 연구에서는 L-모멘트 법 기반의 generalized extreme value(GEV) 분포 모형을 위한 PPCC의 검정 통계량을 유도하고 이를 다변량 비선형 형태의 회귀식으로 제시하였다. 새롭게 제시된 방법의 기각력을 검토하고자 기존의 적합도 검정 방법들과 모의실험을 수행하였으며 그 결과 본 연구에서 제시된 PPCC-A 검정 방법이 기존의 PPCC 검정을 비롯한 다른 적합도 검정 방법보다 우수한 기각력을 보이는 것으로 나타났다. 이를 통해 표본 자료를 좀 더 정확하게 대표할 수 있는 확률분포 모형을 구축하는 데 도움이 될 것으로 기대된다.

선형 근사화방법을 이용한 비대칭 복합 적층평판의 이산최적화 (Discrete Optimization of Unsymmetric Composite Laminates Using Linear Aproximation Method)

  • 이상근;구봉근;한상훈
    • 전산구조공학
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    • 제10권2호
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    • pp.255-263
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    • 1997
  • 실제로 구조시스템들의 최적설계는 설계변수가 연속값이 아닌 이산값을 요하는 경우가 대부분이다. 본 논문은 이산형 설계변수를 갖는 비대칭 복합 적층평판에 대해 선형 근사화방법을 이용한 이산최적설계를 수행하였으며, 이 방법이 매우 효율적임을 보였다. 대상 문제는 축력, 전단력, 그리고 휨과 비틀림 모멘트의 평면 내하중들(in-plane loads)의 다중하중조건을 받는 것으로 고려하였으며, 복합 적층평판을 구성하는 플라이들에 대한 최대변형률 규준을 설계 제약조건으로 부과하였다. 이산 최적화를 위한 초기 접근방법으로 단 한번의 연속변수 최적화 과정이 FDM(Feasible Direction Method)을 이용하여 수행되었으며, 차후 이산 및 연속변수를 포함하는 비선형 이산최적화문제를 SLDP(Sequential Linear Discrete Programming)방법에 의해 선형 근사화된 혼합정수계획문제로 형성하여 풀었다. 수치예에서 6개의 플라이로 구성된 비대칭 복합 적층평판을 대상으로 회전식 적층배열([(90-.theta.)/-(60+.theta.)/-.theta./-(45+.theta.)/(45-.theta.)]/sub s/)에 따른 이산최적해를 구하였다. 효율성 입증을 위해 똑같은 문제를 비선형 분기한계법을 이용하여 풀었으며, 그 결과를 비교 분석하였다.

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피스톤의 점성 마찰력을 고려한 소형 왕복동 압축기의 동적 해석 (Dynamic Analysis of the Small Reciprocating Compressors Considering Viscous Frictional Force of a Piston)

  • 김태종
    • 한국소음진동공학회논문집
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    • 제12권11호
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    • pp.904-913
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    • 2002
  • In this study, a dynamic analysis of the reciprocating compression mechanism considering viscous friction force of a piston used in small refrigeration compressors is performed. The length of cylinder in this class of compressors is shortening to diminish the frictional losses of the piston-cylinder system. So, the contacting length between piston and cylinder liner is in variable with the rotating crank angle around the BDC of the reciprocating piston. In the problem formulation of the compression mechanism dynamics, the change in bearing length of the piston and all corresponding viscous forces and moments are considered in order to determine the trajectories of piston and crankshaft. The piston orbits for viscous friction model and Coulomb friction model were used to compare the effect of the friction forces of piston on the dynamic trajectories of piston. To investigate the effect of friction force acting on the piston for the dynamic characteristics of crankshaft, comparison of the crankshaft loci is given in both viscous model and Coulomb model. Results show that the viscous friction force of piston must be considered in calculating for the accurate dynamic characteristics of the reciprocating compression mechanism.

Optimization of photovoltaic thermal (PV/T) hybrid collectors by genetic algorithm in Iran's residential areas

  • Ehyaei, M.A.;Farshin, Behzad
    • Advances in Energy Research
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    • 제5권1호
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    • pp.31-55
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    • 2017
  • In the present study, PV/T collector was modeled via analysis of governing equations and physics of the problem. Specifications of solar radiation were computed based on geographical characteristics of the location and the corresponding time. Temperature of the collector plate was calculated as a function of time using the energy equations and temperature behavior of the photovoltaic cell was incorporated in the model with the aid of curve fitting. Subsequently, operational range for reaching to maximal efficiency was studied using Genetic Algorithm (GA) technique. Optimization was performed by defining an objective function based on equivalent value of electrical and thermal energies. Optimal values for equipment components were determined. The optimal value of water flow rate was approximately 1 gallon per minute (gpm). The collector angle was around 50 degrees, respectively. By selecting the optimal values of parameters, efficiency of photovoltaic collector was improved about 17% at initial moments of collector operation. Efficiency increase was around 5% at steady condition. It was demonstrated that utilization of photovoltaic collector can improve efficiency of solar energy-based systems.

Debt Maturity and the Effects of Growth Opportunities and Liquidity Risk on Leverage: Evidence from Chinese Listed Companies

  • VIJAYAKUMARAN, Sunitha;VIJAYAKUMARAN, Ratnam
    • The Journal of Asian Finance, Economics and Business
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    • 제6권3호
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    • pp.27-40
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    • 2019
  • The study examines the effects of growth opportunities, debt maturity and liquidity risk on leverage, making use of a large panel of Chinese listed firms. Research on capital structure has broadened its scope from a single capital structure decision (the debt/equity choice) to various attributes of the debt in firms' capital structure. We use the system Generalized Method of Moments estimator to control for unobserved heterogeneity and the potential endogeneity of regressors. We find a negative relationship between growth opportunities and leverage. Further, we find that while the proportion of short-term debt attenuates the negative effect of growth opportunities on leverage, it negatively affects leverage as predicted by the liquidity risk hypothesis. When we distinguish between state owned firms and private controlled firms, we find evidence that these effects are only relevant to private controlled firms. However, our analysis indicates that the economic implication of liquidity risk effect is much lower for Chinese firms than that observed in the literature for US firms. Our study suggests that these differences can be explained by differences in the institutional environment in which firms operate. This finding related to Diamond's (1991) liquidity risk hypothesis extends our understanding of the relationship between liquidity risk and the debt maturity choice.

갤러킨 유한요소해석법을 이용한 미케니컬 페이스 실의 윤활성능해석 (A Lubrication Performance Analysis of Mechanical Face Seals Using Galerkin Finite Element Method)

  • 최병렬;이안성;최동훈
    • 대한기계학회논문집A
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    • 제25권6호
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    • pp.916-922
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    • 2001
  • A mechanical face seal is a tribo-element intended to control leakage of working fluid at the interface between a rotating shaft and its housing. Leakage of working fluid decreases drastically as the clearance of the mating seal faces gets smaller. But the very small seal clearance results in an increased reduction of seal life because of high wear and heat generation. Therefore, in the design of mechanical face seals a compromise between low leakage and acceptable seal life is important, and it presents a difficult and practical design problem. A fluid film or sealing dam geometry of the seal clearance affects seal lubrication performance very much, and thereby it is one of the main design considerations. In this study the Reynolds equation for the sealing dam of mechanical face seals is numerically analyzed, using the Galerkin finite element method, which is readily applied to various seal geometries. Film pressures of the sealing dam are analyzed, including the effects of the seal face coning and tilt. Then, lubrication performances of the seals, such as opening forces, restoring moments, leakage, and dynamic coefficients, are calculated, and they are compared to the results obtained by the narrow seal approximation.

Attitude Control of a Tethered Spacecraft

  • Cho, Sang-Bum;McClamroch, N. Harris
    • International Journal of Aeronautical and Space Sciences
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    • 제8권2호
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    • pp.67-75
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    • 2007
  • An attitude control problem for a tethered spacecraft is studied. The tethered spacecraft is viewed as a multi-body spacecraft consisting of a base body, a massless tether that connects the base body and an end mass, and tether actuator dynamics. Moments about the pitch and roll axes of the base spacecraft arise by control of the point of attachment of the tether to the base spacecraft. The control objective is to stabilize the attitude of the base spacecraft while keeping the perturbations of the tether small. Analysis shows that linear equations of motion for the tethered spacecraft are not completely controllable. We study two different control design approaches: (1) we decouple the attitude dynamics from the tether dynamics and we design a linear feedback to achieve stabilization of the attitude dynamics, and (2) we decouple the controllable modes from the uncontrollable mode using Kalman decomposition and we design a linear feedback to achieve stabilization of the controllable modes. Simulation results show that, although it is difficult to control the tether, the tether motion can be maintained within an acceptable range while stabilizing the attitude dynamics of the base spacecraft.

두께가 유한한 도체 스크린 내부 캐비티의 슬릿을 통한 전자파 공진 투과 (Electromagnetic Resonant Transmission through Slits in a Cavity inside Conducting Screen of Finite Thickness)

  • 이종익;조영기
    • 한국전자파학회논문지
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    • 제21권10호
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    • pp.1094-1102
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    • 2010
  • 본 논문에서는 두께가 유한한 도체 스크린 내부 캐비티의 슬릿을 통한 전자파 투과 문제를 슬릿 축에 대해 TE 편파된 평면파가 도체 스크린의 슬릿에 입사되는 경우에 대해 고려하였다. 모멘트 방법을 이용하여 슬릿을 통해 투과된 전력을 구하고, 슬릿의 등가 어드미턴스로부터 구성된 등가 회로 방법을 이용하여 계산된 것과 비교하였다. 공진조건 하에서 좁은 슬릿의 유효 슬릿 폭은 실제 슬릿 폭에 무관하게 $1/{\pi}$ 파장이 됨이 확인되었다. 제안된 구조에서의 공진 투과 현상을 캐비티 내부 슬릿의 등가 어드미턴스 변화와 관련하여 설명하였다.

왕복동형 압축기 피스톤의 동적 거동 해석 (Dynamic Behavior Analysis of Reciprocating Compressor Pistons)

  • 김태종
    • 한국소음진동공학회논문집
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    • 제12권9호
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    • pp.717-724
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    • 2002
  • In this study, a numerical analysis for the piston secondary dynamics of small refrigeration reciprocating compressors is performed. In general, the length of cylinder in this class of compressors is shortened to diminish the frictional losses of the piston-cylinder system. So, the contacting length between piston and cylinder wall is in variable with the rotating crank angle around the BDC of the reciprocating piston. In the problem formulation of the piston dynamics, the change in bearing length of the piston and all corresponding forces and moments are considered in order to determine the piston trajectory, velocity and acceleration at each step. A Newton-Raphson procedure was employed in solving the secondary dynamic equations of the piston. The developed computer program can be used to calculate the entire piston trajectory and the hydrodynamic force and moment as functions of crank angle under compressor running conditions. The results explored the effects of the radial clearance, lubricant viscosity, length of the cylinder wall, and pin location on the stability of the piston.

Differential cubature method for buckling analysis of arbitrary quadrilateral thick plates

  • Wu, Lanhe;Feng, Wenjie
    • Structural Engineering and Mechanics
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    • 제16권3호
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    • pp.259-274
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    • 2003
  • In this paper, a novel numerical solution technique, the differential cubature method is employed to study the buckling problems of thick plates with arbitrary quadrilateral planforms and non-uniform boundary constraints based on the first order shear deformation theory. By using this method, the governing differential equations at each discrete point are transformed into sets of linear homogeneous algebraic equations. Boundary conditions are implemented through discrete grid points by constraining displacements, bending moments and rotations of the plate. Detailed formulation and implementation of this method are presented. The buckling parameters are calculated through solving a standard eigenvalue problem by subspace iterative method. Convergence and comparison studies are carried out to verify the reliability and accuracy of the numerical solutions. The applicability, efficiency, and simplicity of the present method are demonstrated through solving several sample plate buckling problems with various mixed boundary constraints. It is shown that the differential cubature method yields comparable numerical solutions with 2.77-times less degrees of freedom than the differential quadrature element method and 2-times less degrees of freedom than the energy method. Due to the lack of published solutions for buckling of thick rectangular plates with mixed edge conditions, the present solutions may serve as benchmark values for further studies in the future.