• Bulletin of the Korean Chemical Society
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• 제17권1호
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• pp.61-65
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• 1996

The semiempirical time-dependent Hartree-Fock PM3 calculations have been performed on three polyene systems. In order to study the nonlinear optical properties, we calculated the frequency-dependent first-, second-, and third-order polarizabilities of thiophene-, furan-, pyrrole-nitro polyene systems. The PM3 predicted average and longitudinal polarizabilties increase in the order: thiophene- > pyrrole- > furan-nitro polyene systems. The PM3 predicted limiting average second-order polarizabilities show the order: pyrrole- > furan- > thiophene-nitro polyene systems. The average and longitudinal third-order polarizabilties have the following order: pyrrole- > thiophene- > furan-nitro polyene systems. In these trends, we sugest that pyrrole group is the best donor group among the three polyene systems.

• Structural Engineering and Mechanics
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• 제6권7호
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• pp.727-746
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• 1998

Finite element models and numerical results are presented for bending and natural vibration using the unified third-order plate theory developed in Part 1 of this paper. The unified third-order theory contains the classical, first-order, and other third-order plate theories as special cases. Analytical solutions are developed using the Navier and L$\acute{e}$vy solution procedures (see Part 1 of the paper). Displacement finite element models of the unified third-order theory are developed herein. The finite element models are based on $C^0$ interpolation of the inplane displacements and rotation functions and $C^1$ interpolation of the transverse deflection. Numerical results of bending and natural vibration are presented to evaluate the accuracy of various plate theories.

• Journal of applied mathematics & informatics
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• 제28권3_4호
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• pp.877-882
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• 2010

In this paper, a third-order three-point boundary value problem on time scales is considered. We establish criteria for the existence of a solution and a positive solution by using the Leray-Schauder fixed point theorem. An example is also given to illustrate our results.

• Steel and Composite Structures
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• 제25권1호
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• pp.67-78
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• 2017

In this study, free vibration of functionally graded (FG) micro/nanobeams based on nonlocal third-order shear deformation theory and under different boundary conditions is investigated by applying the differential quadrature method. Third-order shear deformation theory can consider the both small-scale effects and quadratic variation of shear strain and hence shear stress along the FG nanobeam thickness. The governing equations are obtained by using the Hamilton's principle, based on third-order shear deformation beam theory. The differential quadrature (DQ) method is used to discretize the model and attain the natural frequencies and mode shapes. The properties of FG micro/nanobeam are assumed to be chanfged along the thickness direction based on the simple power law distribution. The effects of various parameters such as the nonlocal parameter, gradient index, boundary conditions and mode number on the vibration characteristics of FG micro/nanobeams are discussed in detail.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 1993년도 춘계학술대회 논문집
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• pp.208-212
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• 1993

Third order correlation function is to be advantageous to detect unique features embedded in various random signals that are undtectable with second order correlation or power spectrum. In order paper, we will introduce a real time third order correlator which consists of a laser light source, an acousto-optical modulator with signal controlling circuitry, and a CCD camera connected to computer for image processing. With this correlator, the third order correlation pattern of a signal can be immediately obtained at the camera due to parallelnature of optical computing.

• 대한기계학회논문집A
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• 제20권1호
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• pp.206-213
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• 1996

Third order correlation funciton is to be advantageous to detect unique features embedded in various random signals that are undetectable with second order correlation or power spectrum. In this paper, we will introduce optical modulator which consists of a laser light source, 2-dimensional ultrasonic diffractor cell with signal controlling circuitry, and a CCD camera connected to personal computer for image processing. With this modulator, the third order correlaiton pattern of signal can be immediately obtained at the camera due to parallel nature of optical computing.

• 한국전자파학회논문지
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• 제11권5호
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• pp.707-714
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• 2000

본 논문에서는 PLL 시스템의 보다 실제적 분석 모델인 3차 시스템을 통하여 저주파 대역에서 문제가 되는 flicker noise가 어떠한 양상을 나타내는가를 알아보려 한다. 3차에서 해석의 복잡성으로 수학적인 분석이 난해하지만 최적화 된 2차 필터를 통한 pseudo-damping factor의 도입으로 3차 시스템에서의 flicker variance의 해석이 용이하도록 시도하였다. 3차에서의 flicker variance의 수식적인 유도를 보이고 이를 2차 시스템에서 발생되는 flicker noise에 대한 variance와 비교하려 한다.

• 한국정보통신학회:학술대회논문집
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• 한국해양정보통신학회 1999년도 추계종합학술대회
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• pp.230-235
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• 1999

본 논문에서는 PLL 시스템의 보다 실제적인 모델인 3차 시스템을 통하여 저주파 대역에서 문제가 되는 flicker noise가 어떠한 양상을 나타내는가를 알아보려 한다. 3차에서 해석의 복잡성으로 그 수학적 분석의 난해함을 나타내지만 최적화 된 2차 필터를 통한 pseudo -damping factor의 도입으로 전체적인 flicker variance의 해석이 용이하도록 시도하였다. 3차에서의 flicker variance의 수식적인 유도를 보이고 이를 2차 시스템에서 발생되는 flicker noise 에 대한 variance와 비교 하려한다

• 대한전자공학회논문지SD
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• 제37권1호
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• pp.44-51
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• 2000

Series Coupler Access Encodler(SCAE)와 Series Coupler Access Decoder(SCAD)를 이용한 광CDMA(Code Division Multiple Access)시스템에서 광정합필터 특성을 삼차신호까지 고려하여 분석하였다. 기존의 연구에서는 SCAE 및 ACAD를 평가할 때, 일차신호만을 고려하여 시스템의 성능을 분석하여 성능평가가 정확하지가 않았다. SCAE 및 SCAD는 커플러 수를 증가함에 따라 여러 형태의 간섭신호들을 가지므로, 이러한 신호들이 자기상관과 상호상관 세기를 변화시킨다. 그러므로 좀 더 정확한 시스템 성능을 분석하기 위해서는 간섭신호들의 특성을 연구할 필요성이 있다. 본 논문에서는 복호화 되는 광신호를 삼차신호까지 수학적으로 해석하였고, 시스템의 자기상관과 상호상관에 미치는 영향을 모의실험을 통해 분석하였다. 커플러 수 증가에 따라 나타나는 삼차신호들이 간섭신호 형태가 되어 peak to side-lobe ratio를 감소키기는 요인으로 작용됨을 정량적으로 확인하였다. 간섭신호들의 크기는 ${\alpha}$(coupling coefficient)값이 커질수록 증가하였으며, 커플러 개수(N)=5, ${\alpha}$=0.5인 조건에서 삼차신호까지 고려한 peak to side-lobe ratio는 3.75 dB까지 열화됨을 밝혔다. 또한, 일차신호의 main-lobe세기에 의해 수신기의 임계레벨을 결정한다면, 삼차신호에 의해 증가된 side-lobes세기 때문에 SCAE와 SCAD를 이용한 광 CDMA system에 다중 접속할 수 있는 사용자 수가 제한됨을 알 수 있었다.

• Structural Engineering and Mechanics
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• 제8권6호
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• pp.623-637
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• 1999

This paper presents a four-noded quadrilateral $C^0$ strain plate element for the analysis of thick laminated composite plates. The element formulation is based on: 1) the third-order shear deformation theory; 2) assumed strain element formulation; and 3) interrelated edge displacements and rotations along element boundaries. Unlike the existing displacement-type composite plate elements based on the third-order theory, which rely on the $C^1$-continuity formulation, the present plate element is of $C^0$-continuity, and its element stiffness matrix is evaluated explicitly. Because of the third-order expansion of the in-plane displacements through the thickness, the resulting theory and hence elements do not need shear correction factors. The explicit element stiffness matrix makes the present element more computationally efficient than the composite plate elements using numerical integration for the analysis of thick layered composite plates.