• Structural Engineering and Mechanics
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• 제39권1호
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• pp.21-46
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• 2011

The natural frequencies of continuous systems depend on the governing partial differential equation and can be numerically estimated using the finite element method. The accuracy and convergence of the finite element method depends on the choice of basis functions. A basis function will generally perform better if it is closely linked to the problem physics. The stiffness matrix is the same for either static or dynamic loading, hence the basis function can be chosen such that it satisfies the static part of the governing differential equation. However, in the case of a rotating beam, an exact closed form solution for the static part of the governing differential equation is not known. In this paper, we try to find an approximate solution for the static part of the governing differential equation for an uniform rotating beam. The error resulting from the approximation is minimized to generate relations between the constants assumed in the solution. This new function is used as a basis function which gives rise to shape functions which depend on position of the element in the beam, material, geometric properties and rotational speed of the beam. The results of finite element analysis with the new basis functions are verified with published literature for uniform and tapered rotating beams under different boundary conditions. Numerical results clearly show the advantage of the current approach at high rotation speeds with a reduction of 10 to 33% in the degrees of freedom required for convergence of the first five modes to four decimal places for an uniform rotating cantilever beam.

• Advances in materials Research
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• 제7권2호
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• pp.119-136
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• 2018

In this paper, static and vibration analysis for anti-symmetric cross-ply and angle- ply carbon/glass hybrid laminates rectangular composite plate are presented. In this analysis, the equations of motion for simply supported thick laminated hybrid rectangular plates are derived and obtained through the use of Hamilton's principle. The closed-form solutions of anti-symmetric cross-ply and angle- ply laminates are obtained using Navier solution. The effects of side-to-thickness ratio, aspect ratio, and lamination schemes on the fundamental frequencies loads are investigated. The study concludes that shear deformation laminate theories accurately predict the behavior of composite laminates, whereas the classical laminate theory over predicts natural frequencies. The excellent accuracy of the present analytical solution is confirmed by making some comparisons of the present results with those available in the literature. It can be concluded that the proposed theory is accurate and simple in solving the free vibration behaviors of anti-symmetric cross-ply and angle- ply hybrid laminated composite plates.

• 한국도로학회논문집
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• 제17권4호
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• pp.25-31
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• 2015

PURPOSES: Implementation and verification of the simple linear cohesive viscoelastic contact model that can be used to simulate dynamic behavior of sticky aggregates. METHODS: The differential equations were derived and the initial conditions were determined to simulate a free falling ball with a sticky surface from a ground. To describe this behavior, a combination of linear contact model and a cohesive contact model was used. The general solution for the differential equation was used to verify the implemented linear cohesive viscoelastic API model in the DEM. Sensitivity analysis was also performed using the derived analytical solutions for several combinations of damping coefficients and cohesive coefficients. RESULTS : The numerical solution obtained using the DEM showed good agreement with the analytical solution for two extreme conditions. It was observed that the linear cohesive model can be successfully implemented with a linear spring in the DEM API for dynamic analysis of the aggregates. CONCLUSIONS: It can be concluded that the derived closed form solutions are applicable for the analysis of the rebounding behavior of sticky particles, and for verification of the implemented API model in the DEM. The assumption of underdamped condition for the viscous behavior of the particles seems to be reasonable. Several factors have to be additionally identified in order to develop an enhanced contact model for an asphalt mixture.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 1991년도 한국자동제어학술회의논문집(국제학술편); KOEX, Seoul; 22-24 Oct. 1991
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• pp.1790-1795
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• 1991

The optimal load distribution for two cooperating robots is studied in this paper, and a new solution approach utilizing force ellipsoid is proposed. The load distribution problem is formulated as a nonlinear optimization problem with a quadratic cost function. The limit on instantaneous power is considered in the problem formulation as the joint torque constraints. The optimal solution minimizing energy consumption is obtained using the concept of force ellipsoid and the nonlinear optimization theory. The force ellipsoid provides a useful geometrical insight into the load distribution problem. Despite the presence of the joint torque constraints, the optimal solution is obtained almost as a closed form, in which the joint torques are given in terms of a single scalar parameter that can be obtained numerically by solving a scalar equation.

• 한국터널지하공간학회 논문집
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• 제11권4호
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• pp.427-435
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• 2009

본 연구는 원형 터널에서 지반-라이닝 상호작용에 대한수학적 모델에 관한 연구를 다룬다. 정적, 동적 하중으로 인하여 터널 라이닝에서 발생하는 축력과 모멘트를 구하는 간단한 수학적 해가 제시되었다. 수학적 해를 유도하기 위하여 지반-라이닝의 경계면에서의 힘-변위 관계식을 고려하였고, 경계면에서의 상호작용을 고려하고자 새로운 계수비들을 제시하였다. 축력과 모멘트에 대한 계수비의 영향이 조사되었다.

• 방송공학회논문지
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• 제10권1호
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• pp.83-102
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• 2005

The problem of video scheduling is analyzed in the framework of divisible load scheduling. A divisible load can be divided into any number of fractions (parts) and can be processed/computed independently on the processors in a distributed computing system/network, as there are no precedence relationships. In the video scheduling, a frame can be split into any number of fractions (tiles) and can be processed independently on the processors in the network, and then the results are collected to recompose the single processed frame. The divisible load arrives at one of the processors in the network (root processor) and the results of the computation are collected and stored in the same processor. In this problem communication delay plays an important role. Communication delay is the time to send/distribute the load fractions to other processors in the network. and the time to collect the results of computation from other processors by the root processors. The objective in this scheduling problem is that of obtaining the load fractions assigned to each processor in the network such that the processing time of the entire load is a minimum. We derive closed-form expression for the processing time by taking Into consideration the communication delay in the load distribution process and the communication delay In the result collection process. Using this closed-form expression, we also obtain the optimal number of processors that are required to solve this scheduling problem. This scheduling problem is formulated as a linear pro-gramming problem and its solution using neural network is also presented. Numerical examples are presented for ease of understanding.

• Coupled systems mechanics
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• 제11권2호
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• pp.151-166
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• 2022

Peltier cells have low efficiency, but they are becoming attractive alternatives for affordable and environmentally clean cooling. In this line, the current article develops closed-form and semianalytical solutions to improve the temperature distribution of Bi₂Te₃ thermoelements. From the distribution, the main objective of the current work-the optimal electric intensity to maximize cooling-is inferred. The general one-dimensional differential coupled equation is integrated for linear and quadratic geometry of thermoelements, under temperature constant properties. For a general shape, a piece-wise solution based on heat flux continuity among virtual layers gives accurate analytical solutions. For variable properties, another piece-wise solution is developed but solved iteratively. Taking advantage of the formulae, the optimal intensity is directly derived with a minimal computational cost; its value will be of utility for more advanced designs. Finally, a parametric study including straight, two linear, barrel, hourglass and vase geometries is presented, drawing conclusions on how the shape of the thermoelement affects the coupled phenomena. A specially developed coupled and non-linear finite element research code is run taking into account all the materials of the cell and using symmetries and repetitions. These accurate results are used to validate the analytical ones.

• 한국도로학회논문집
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• 제10권2호
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• pp.167-181
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• 2008

한국형 포장 콘크리트에 있어 구조해석은 다양한 입력변수와 공용성 모형을 연결해주는 중간 매개체 역할을 하고 있어 그 중 요도가 매우 크다. 본 연구에서는 ABAQUS 구조해석 프로그램을 Shell 요소를 이용하여 콘크리트 포장의 거동을 분석할 수 있는 구조해석 기본 모형을 구축하였다. 이 모형을 Closed-Form Solution과 정확성이 검증된 Everfe 프로그램, 그리고 Solid 요소 모형과 비교하여 정확도를 검증하였다. 기본 Shell 모형을 이용하여 다양한 변수에 대한 구조해석을 수행하였으며 그 결과를 DB화하였다. SPSS 통계 프로그램과 해석 결과를 바탕으로 회귀식을 개발하였으며 온도 응력, 상향 응력, 하향 응력을 산정할 수 있는 응력식을 제안하였다.

• 한국정보통신학회논문지
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• 제15권4호
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• pp.823-832
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• 2011

본 논문은 orthogonal frequency division multiplexing (OFDM) 통신에서 효율적인 블라인드(blind) 주파수 옵셋 추정 방식을 제안한다. 제안된 방식은 오버샘플링과 OFDM 시스템의 cyclic prefix (CP)를 이용하여 시간차가 있는 2개의 OFDM 신호 블록을 얻고 이를 이용하여 블라인드 주파수 옵셋 추정을 위한 비용함수를 정의한다. 본 논문에서는 제안된 비용함수가 코사인 함수로 근사화 될 수 있음을 보였으며 코사인 함수의 기본적인 특성을 이용하여 주파수 옵셋을 추정할 수 있는 폐쇄형(closed form) 추정 공식을 유도하였다. 이 코사인 함수를 이용하면 전체 주파수 옵셋 범위에 대한 탐색 없이 최저 비용함수 값을 쉽게 계산할 수 있기 때문에 주파수 옵셋 추정이 효율적이다. 제안된 방식은 탐색이 필요 없기 때문에 기존의 블라인드 ML 기법보다 계산량이 약 97% 감소하며 컴퓨터 시뮬레이션 결과 평균제곱오차 (mean square error, MSE) 성능이 기존의 ML 기법이나 MUSIC 방식보다 우수함을 보였다.

• 한국항행학회논문지
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• 제2권2호
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• pp.84-99
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• 1998

탄도탄 요격용 유도무기의 closed-loop 유도기법으로 종말유도의 효율성을 증대시키기 위해 산정된 비행자세 각으로 표적을 요격하기 위한 중기유도 법칙을 제시한다. 제시된 유도법칙은 잡음환경하에서의 비선형 레이더 측정치를 사용하는 확장칼만필터(EKF) 알고리즘을 사용하여 추정된 표적의 상태변수를 이용하고 표적의 운동을 간략화 하여 구한 추정된 표적의 위치를 기반으로 한다. 제시된 중기유도법칙의 3차원 공간으로의 확장에 대해서도 연구한다. 제시된 중기유도법칙을 적용하고, 종말유도법칙으로 비례항법유도(PNG)을 사용하는 일련의 시뮬레이션을 통해 유도성능을 확인한다.