• 제목/요약/키워드: Non-Linear theory.

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Reduced Density Matrix Theory for Vibrational Absorption Line Shape in Energy Transfer Systems: Non-Condon Effects in Water

  • Yang, Mi-No
    • Bulletin of the Korean Chemical Society
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    • 제32권2호
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    • pp.439-443
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    • 2011
  • Using the projection operator technique, a reduced density matrix theory for linear absorption spectrum of energy transfer systems is developed for the theoretical absorption line shape of the systems with non-Condon transitions. As an application, we considered a model system of OH vibrations of water. In the present model calculation, the OH vibration modes are coupled to each other via intra-molecular coupling mechanism while their intermolecular couplings are turned off. The time-correlation functions appearing in the formulation are calculated from a mixed quantum/classical mechanics method. The present theory is successful in reproducing the exact absorption line shape. Also the present theory was improved from an existing approximate theory, time-averaged approximation approach.

광대역 단일빔형성을 위한 비선형배열의 지향 특성 (Directivity Characteristics of Non-Linear Array for Wide-Band One-Shot Beamforming)

  • 도경철;손경식
    • 한국음향학회지
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    • 제18권3호
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    • pp.27-34
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    • 1999
  • 본 연구에서는 상대적으로 적은 센서 수에 의한 음향측정을 목적으로, 광대역 단일빔 형성을 위한 비선형 배열 알고리듬을 제안하였다. 제안 알고리듬은 공간 샘플링 이론에 따라, 고주파수 대역에서는 등간격으로 센서를 배열하고 고주파수 이하 주파수대역에서는 고주파수 대역 센서 개수를 함수로 인접 센서간 간격을 비선형 배열한다. 시뮬레이션 결과, 제안 비선형 배열은 센서 수 감소에도 불구하고 선형배열과 유사한 지향지수 평균 및 분산을 나타내었다. 또한 -2dB점에서 6.8° 이상의 빔폭을 가지고 지향각에 따른 지향지수 변화가 미소하였다. 따라서 상대적으로 적은 센서 수를 갖도록 본 논문에서 제안한 비선형 배열 알고리듬이 음향측정 목적으로 유용함을 확인하였다.

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On thermal stability of plates with functionally graded coefficient of thermal expansion

  • Bousahla, Abdelmoumen Anis;Benyoucef, Samir;Tounsi, Abdelouahed;Mahmoud, S.R.
    • Structural Engineering and Mechanics
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    • 제60권2호
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    • pp.313-335
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    • 2016
  • In this article, a four-variable refined plate theory is presented for buckling analysis of functionally graded plates subjected to uniform, linear and non-linear temperature rises across the thickness direction. The theory accounts for parabolic distribution of the transverse shear strains, and satisfies the zero traction boundary conditions on the surfaces of the plate without using shear correction factor. Young's modulus and Poisson ratio of the FGM plates are assumed to remain constant throughout the entire plate. However, the coefficient of thermal expansion of the FGM plate varies according to a power law form through the thickness coordinate. Equilibrium and stability equations are derived based on the present theory. The influences of many plate parameters on buckling temperature difference such ratio of thermal expansion, aspect ratio, side-to-thickness ratio and gradient index will be investigated.

Quantum Chemical Designing of Novel Organic Non-Linear Optical Compounds

  • Mahmood, Asif;Abdullah, Muhammad Imran;Nazar, Muhammad Faizan
    • Bulletin of the Korean Chemical Society
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    • 제35권5호
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    • pp.1391-1396
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    • 2014
  • In the present study, ten metal free non-linear optical (NLO) compounds have been designed. These compounds have designed by structural modification of (2-cyano-5-(4-(phenyl(4-vinylphenyl)amino)phenyl) penta-2,4-dienoic acid (TC4). Density functional theory was used for structure optimization and determination of photo-physical properties. These compounds contain triphenylamine as electron-donor and cyanoacrylic acid as acceptor. Five ${\pi}$-spacers are used to connect the donor and acceptor. Two auxiliary donors are also used to assist the donor. Results of this study indicate that stronger electron-donating auxiliary groups and longer ${\pi}$-conjugation enhance NLO response. Major absorption peaks of all systems were in the visible region. These absorption peaks are associated with the ${\pi}-{\pi}^*$ transitions of the entire molecule. From calculations it is clear that all system will be good NLO material. The present calculations will provide new ways for experimentalists to synthesize high-performance NLO material.

Response of rigid footing on reinforced granular fill over soft soil

  • Ramu, K.;Madhav, Madhira R.
    • Geomechanics and Engineering
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    • 제2권4호
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    • pp.281-302
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    • 2010
  • An extended model for the response of a rigid footing on a reinforced foundation bed on super soft soil is proposed by incorporating the rough membrane element into the granular bed. The super soft soil, the granular bed and the reinforcement are modeled as non-linear Winkler springs, non-linear Pasternak layer and rough membrane respectively. The hyperbolic stress-displacement response of the super soft soil and the hyperbolic shear stress-shear strain response of the granular fill are considered. The finite deformation theory is used since large settlements are expected to develop due to deformation of the super-soft soil. Parametric studies quantify the effect of each parameter on the stress-settlement response of the reinforced foundation bed, the settlement and tension profiles.

퍼지이론을 이용한 선삭의 절삭력제어 (Cutting Force Control of Turning Process Using Fuzzy Theory)

  • 노상현;정선환;김교형
    • 대한기계학회논문집
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    • 제18권1호
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    • pp.113-120
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    • 1994
  • The dynamic characteristics of turning processes are complex, non-linear and time-varying. Consequently, the conventional techniques based on crisp mathematical model may not guarantee cutting force regulation. This paper presents a fuzzy controller which can regulate cutting force in turning process under varying cutting conditions. The fuzzy control rules are extablished from operator experience and expert knowledge about the process dynamics. Regulation which increases productivity and tool life is achieved by adjusting feedrate according to the variation of cutting conditions. The performance of the proposed controller is evaluated by cutting experiments in the converted conventional lathe. The results of experiments show that the proposed fuzzy controller has a good cutting force regulation capability in spite of the variation of cutting conditions.

Investigating nonlinear thermal stability response of functionally graded plates using a new and simple HSDT

  • Bensaid, Ismail;Bekhadda, Ahmed;Kerboua, Bachir;Abdelmadjid, Cheikh
    • Wind and Structures
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    • 제27권6호
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    • pp.369-380
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    • 2018
  • In this research work, nonlinear thermal buckling behavior of functionally graded (FG) plates is explored based a new higher-order shear deformation theory (HSDT). The present model has just four unknowns, by using a new supposition of the displacement field which enforces undetermined integral variables. A shear correction factor is, thus, not necessary. A power law distribution is employed to express the disparity of volume fraction of material distributions. Three kinds of thermal loading, namely, uniform, linear, and nonlinear and temperature rises over z-axis direction are examined. The non-linear governing equations are resolved for plates subjected to simply supported boundary conditions at the edges. The results are approved with those existing in the literature. Impacts of various parameters such as aspect and thickness ratios, gradient index, type of thermal load rising, on the non-dimensional thermal buckling load are all examined.

초연약 준설 매립지반의 비선형 유한변형 압밀해석기법 -Part I: 해석 물성치 평가 (Analysis Method for Non-Linear Finite Strain Consolidation for Soft Dredged Soil Deposit -Part I: Parameter Estimation for Analysis)

  • 곽태훈;이철호;임지희;안용훈;최항석
    • 한국지반공학회논문집
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    • 제27권9호
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    • pp.13-24
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    • 2011
  • Terzaghi의 1차원 압밀이론은 준설 매립지반과 같이 고함수비, 고압축성을 갖는 점토지반의 압밀해석에는 적합하지 않다. 준설 매립지반의 자중압밀과 재하하중에 의한 추가압밀을 적절히 고려하기 위해서는 비선형, 유한변형 압밀이론을 도입해야 한다. 준설 매립지반의 비선형 유한변형 압밀해석을 수행하기 위해서는 침강과정이 종료되고 자중압밀이 시작되는 시점의 간극비인 초기간극비($e_{00}$)와 비선형성을 갖는 준설토의 간극비-유효응력 관계와 간극비-투수계수의 관계 규명이 매우 중요하다. 본 연구에서는 실내시험을 통해 비선형 유한변형 압밀해석에 필요한 인자를 산정하는 방법을 제안하였다. 또한, 본 연구에서 제안한 방법을 적용하여 인천지역 준설토와 카올리나이트의 압밀 물성치를 평가하였고, 이를 동반논문에서 다룰 비선형 유한변형 압밀해석에 적용하였다.

Thermal stability of functionally graded sandwich plates using a simple shear deformation theory

  • Bouderba, Bachir;Houari, Mohammed Sid Ahmed;Tounsi, Abdelouahed;Mahmoud, S.R.
    • Structural Engineering and Mechanics
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    • 제58권3호
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    • pp.397-422
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    • 2016
  • In the present work, a simple first-order shear deformation theory is developed and validated for a variety of numerical examples of the thermal buckling response of functionally graded sandwich plates with various boundary conditions. Contrary to the conventional first-order shear deformation theory, the present first-order shear deformation theory involves only four unknowns and has strong similarities with the classical plate theory in many aspects such as governing equations of motion, and stress resultant expressions. Material properties and thermal expansion coefficient of the sandwich plate faces are assumed to be graded in the thickness direction according to a simple power-law distribution in terms of the volume fractions of the constituents. The core layer is still homogeneous and made of an isotropic material. The thermal loads are considered as uniform, linear and non-linear temperature rises within the thickness direction. The results reveal that the volume fraction index, loading type and functionally graded layers thickness have significant influence on the thermal buckling of functionally graded sandwich plates. Moreover, numerical results prove that the present simple first-order shear deformation theory can achieve the same accuracy of the existing conventional first-order shear deformation theory which has more number of unknowns.