• Structural Engineering and Mechanics
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• 제63권2호
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• pp.161-169
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• 2017

In this paper, using consistent couple stress theory and Hamilton's principle, the free vibration analysis of Euler-Bernoulli nano-beams made of bi-directional functionally graded materials (BDFGMs) with small scale effects are investigated. To the best of the researchers' knowledge, in the literature, there is no study carried out into consistent couple-stress theory for free vibration analysis of BDFGM nanostructures with arbitrary functions. In addition, in order to obtain small scale effects, the consistent couple-stress theory is also applied. These models can degenerate into the classical models if the material length scale parameter is taken to be zero. In this theory, the couple-tensor is skew-symmetric by adopting the skew-symmetric part of the rotation gradients as the curvature tensor. The material properties except Poisson's ratio are assumed to be graded in both axial and thickness directions, which it can vary according to an arbitrary function. The governing equations are obtained using the concept of Hamilton principle. Generalized differential quadrature method (GDQM) is used to solve the governing equations for various boundary conditions to obtain the natural frequencies of BDFG nano-beam. At the end, some numerical results are presented to study the effects of material length scale parameter, and inhomogeneity constant on natural frequency.

• Steel and Composite Structures
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• 제26권6호
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• pp.663-672
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• 2018

This paper contains a consistent couple-stress theory to capture size effects in Euler-Bernoulli nano-beams made of three-directional functionally graded materials (TDFGMs). These models can degenerate into the classical models if the material length scale parameter is taken to be zero. In this theory, the couple-stress tensor is skew-symmetric and energy conjugate to the skew-symmetric part of the rotation gradients as the curvature tensor. The material properties except Poisson's ratio are assumed to be graded in all three axial, thickness and width directions, which it can vary according to an arbitrary function. The governing equations are obtained using the concept of minimum potential energy. Generalized differential quadrature method (GDQM) is used to solve the governing equations for various boundary conditions to obtain the natural frequencies of TDFG nano-beam. At the end, some numerical results are performed to investigate some effective parameter on buckling load. In this theory the couple-stress tensor is skew-symmetric and energy conjugate to the skew-symmetric part of the rotation gradients as the curvature tensor.

• Ocean and Polar Research
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• 제25권4호
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• pp.437-446
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• 2003

Field measurements of directional waves were carried out during the summer of 2002 at two coastal sites in water of finite depth. A couple of general purpose instruments were used employing acoustic Doppler technology. The aim of the study was to investigate the spatial behavior of the directional movement of waves as they come ashore. In total,74 tests were carried out during which sea states of low to moderate intensity were recorded. A great number of these runs displayed bimodal characteristics of the spreading function at high frequencies. It was found that in general, the frequency-integrated directional width tends to broaden as the water shoals and when refraction effects are negligible. This is attributed to wave-wave interactions that become pronounced in shallow water. The same directional width showed, also, a tendency to increase with increasing peak frequency of the sea state spectrum. The behavior of the kurtosis of the spreading function was also examined. It was found that for higher frequencies this index tends to increase in wave spectra above a certain sea severity threshold.

• 한국전기전자재료학회:학술대회논문집
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• 한국전기전자재료학회 1993년도 추계학술대회 논문집
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• pp.39-42
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• 1993

In this paper, we performed theoretical simulation for directional coupler using BPM program. Simulation results shored that the optimum optical waveguide refractive index between the guides were 3$\mu\textrm{m}$. Using the parameters of n$_1$=2.25, n$_2$=2.25, n$_3$=2.2, gap=3$\mu\textrm{m}$, W= 30$\mu\textrm{m}$, $\Delta$z=0.l$\mu\textrm{m}$, λ=1.5$\mu\textrm{m}$, we decided other design parameters. When we applied 40[V] in the optimum condition of the directional coupling effect, we concluded the refractive index variation of 0.001.

• 한국정보통신학회:학술대회논문집
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• 한국해양정보통신학회 2000년도 춘계종합학술대회
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• pp.156-159
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• 2000

CATV, DBS(Direct Broadcasting Satellite), CS(Communication Satellite) 시스템용 신호분기기를 4-port와 3-port등가회로를 사용한 새로운 해석법을 제안하였다 결합선로형 방향성결합기에 대한 우·기 모드 해석법을 도입하여, 변성기형 방향성 결합기에 적용하였다. 시뮬레이션과 실험결과를 비교함으로서 제안된 해석법의 타당성을 입증하였고, 또한 제작된 신호분기기는 제안된 해석법을 적용하여 5 MHz∼4,000 MHz의 광대역화가 되었다.

• 한국통신학회논문지
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• 제23권7호
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• pp.1764-1769
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• 1998

임의의 각도로 틀어진 서로 다른 두 도파관 사이에 임의의 형상을 가진 다중 공동으로 결합되는 방향성 결합기의 특성을 요한 요소 경계 적분법으로 해석하였다. 이러한 구조를 해석하는데 있어서 보통의 유한 요소법과의 계산 시간을 비교하여 제시된 방법이 매우 효율적임을 보였다. 또한 Moreno couple에 대한 기존의 다른 논문들의 결과와 비교하여 잘 일치함을 보임으로써 본 논문에서 제시한 방법의 타당성을 입증하였다.

• Advances in nano research
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• 제12권3호
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• pp.281-290
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• 2022

In the current research, the thermal buckling characteristics of the bi-directional functionally graded nano-scale tapered beam on the basis of a couple of nonlocal Eringen and classical beam theories are scrutinized. The nonlocal governing equation and associated nonlocal boundary conditions are constructed using the conservation energy principle, and the resulting equations are solved using the generalized differential quadrature method (GDQM). The mechanical characteristics of the produced material are altered along both the beam length and thickness direction, indicating that it is a two-dimensional functionally graded material (2D-FGM). It is thought that the nanostructures are defective because to the presence of porosity voids. Finally, the obtained results are used to design small-scale sensors and make an excellent panorama of developing the production of nanostructures.

• Advances in nano research
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• 제8권2호
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• pp.115-134
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• 2020

In this paper, the free vibrations analysis of the nanoplates made of three-directional functionally graded material (TDFGM) with small scale effects is presented. To study the small-scale effects on natural frequency, modified strain gradient theory (MSGT) has been used. Material properties of the nanoplate follow an arbitrary function that changes in three directions along the length, width and thickness of the plate. The equilibrium equations and boundary conditions of nanoplate are obtained using the Hamilton's principle. The generalized differential quadrature method (GDQM) is used to solve the governing equations and different boundary conditions for obtaining the natural frequency of nanoplate made of three-directional functionally graded material. The present model can be transformed into a couple stress plate model or a classic plate model if two or all parameters of the length scales set to zero. Finally, numerical results are presented to study the small-scale effect and heterogeneity constants and the aspect ratio with different boundary conditions on the free vibrations of nanoplates. To the best of the researchers' knowledge, in the literature, there is no study carried out into MSGT for free vibration analysis of FGM nanoplate with arbitrary functions.

• 한국통신학회논문지
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• 제16권7호
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• pp.680-695
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• 1991

본 논문에서는 부가적인 단들을 갖는 경우와 갖지않는 경우의 자체 부팅이 가능한 단일 망이 넌 블럭킹 $Multi-Log_2N$ 다중 접속망이 되기 위해 몇 개가 필요한가에 관한 조건들을 제시한다. 얻어진 조건들은 일대일 접속 또는 다중 접속 망에 관계없이 적용됨을 증명하여 다중 접속망에 관한 조건을 구하는 미 해결 문제들(Open problems)을 해결한다. 특히 얻어진 조건 중에는 Benes망과 Cantor 망을 각각 특정한 경우로 포함하는 흥미있는 결과가 제시된다. 그리고 종래의 광 교환 시스템 구조에서 문제가 되었던 중앙 집중형 호 분배 제어를 해결하는 분산화된 호(Call) 분배 알고리즘을 제시하고디렉셔널 커플러(Directional coupler)를 사용한 새로운 광교환 시스템의 구조를 제시한다. 특히 실제 교환망의 갯수가 넌 플럭킹 $Multi-Log_2N$ 망이 되기 위해 필요한 수보다 적을 경우에 각각의 호가 블럭킹을 유발하지 않는 상황에서 교환되도록 하는 디렉셔널 커플러를 이용한 디멀티플래셔(Demultiplexer)를 제시한다.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2003년도 추계학술대회논문집
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• pp.304-309
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• 2003

A new modal analysis method for rotor systems with periodically time-varying parameters is proposed. The essence of method is to introduce modulated coordinates to derive the equivalent time-invariant equation. This paper presents a modal analysis method using modulated coordinates fur general rotors, of which rotating and stationary parts both possess asymmetric properties. The equation of motion with time-varying parameters is transformed to an infinite order matrix equation with the time-invariant parameters. A theory of modal analysis for the system is presented with the infinite order equation and a couple of reduced order equations. A numerical example with simple asymmetric rotor is provided to demonstrate the effectiveness of the proposed method