• Title/Summary/Keyword: potential theory method

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Quantum Transition Properties of Quasi-Two Dimensional Si System in Electron Deformation Potential Phonon Interacting (전자 포텐셜 변형과 포논 상호작용에 의한 준 이차원 Si 구조의 전도 현상 해석)

  • Lee, Su-Ho;Kim, Young-Mun;Kim, Hai-Jai;Joo, Seok-Min
    • The Transactions of the Korean Institute of Electrical Engineers P
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    • v.66 no.3
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    • pp.129-134
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    • 2017
  • We investigated theoretically the quantum optical transition properties of Si, in quasi 2-Dimensinal Landau splitting system, based on quantum transport theory. We apply the quantum transport theory (QTR) to the system in the confinement of electrons by square well confinement potential under linearly polarized oscillating field. We use the projected Liouville equation method with Equilibrium Average Projection Scheme (EAPS). In order to analyze the quantum transition, we compare the temperature and the magnetic field dependencies of the QTLW and the QTLS on four transition processes, namely, the intra-leval transition process, the inter-leval transition process, the phonon emission transition process and the phonon absorption transition process.

Natural vibrations and hydroelastic stability of laminated composite circular cylindrical shells

  • Bochkareva, Sergey A.;Lekomtsev, Sergey V.
    • Structural Engineering and Mechanics
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    • v.81 no.6
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    • pp.769-780
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    • 2022
  • This paper studies the dynamic behavior of laminated composite circular cylindrical shells interacting with a fluid. The mathematical formulation of the dynamic problem for an elastic body is developed based on the variational principle of virtual displacements and the relations of linear elasticity theory. The behavior of an ideal compressible fluid is described by the potential theory, the equations of which together with boundary conditions are transformed to a weak form. The hydrodynamic pressure exerted by the fluid on the internal surface of the shell is calculated according to the linearized Bernoulli equation. The numerical implementation of the mathematical formulation has been done using the semi-analytical finite element method. The influence of the ply angle and lay-up configurations of laminated composites on the natural vibration frequencies and the hydroelastic stability boundary have been analyzed for shells with different geometrical dimensions and under different kinematic boundary conditions set at their edges. It has been found that the optimal value of the ply angle depends on the level of filling of the shell with a fluid. The obtained results support the view that by choosing the optimal configuration of the layered composite material it is possible to change upwards or downwards the frequency and mode shape, as well as the critical velocity for stability loss over a wide range.

Fully nonlinear time-domain simulation of a backward bent duct buoy floating wave energy converter using an acceleration potential method

  • Lee, Kyoung-Rok;Koo, Weoncheol;Kim, Moo-Hyun
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.5 no.4
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    • pp.513-528
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    • 2013
  • A floating Oscillating Water Column (OWC) wave energy converter, a Backward Bent Duct Buoy (BBDB), was simulated using a state-of-the-art, two-dimensional, fully-nonlinear Numerical Wave Tank (NWT) technique. The hydrodynamic performance of the floating OWC device was evaluated in the time domain. The acceleration potential method, with a full-updated kernel matrix calculation associated with a mode decomposition scheme, was implemented to obtain accurate estimates of the hydrodynamic force and displacement of a freely floating BBDB. The developed NWT was based on the potential theory and the boundary element method with constant panels on the boundaries. The mixed Eulerian-Lagrangian (MEL) approach was employed to capture the nonlinear free surfaces inside the chamber that interacted with a pneumatic pressure, induced by the time-varying airflow velocity at the air duct. A special viscous damping was applied to the chamber free surface to represent the viscous energy loss due to the BBDB's shape and motions. The viscous damping coefficient was properly selected using a comparison of the experimental data. The calculated surface elevation, inside and outside the chamber, with a tuned viscous damping correlated reasonably well with the experimental data for various incident wave conditions. The conservation of the total wave energy in the computational domain was confirmed over the entire range of wave frequencies.

Characteristic Analysis of Nonlinear Sloshing in Baffled Tank (격막 설치에 따른 비선형 슬로싱 특성 연구)

  • Lee, Hong-Woo;Cho, Jin-Rae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.29 no.11 s.242
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    • pp.1455-1462
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    • 2005
  • In this paper, we intend to introduce a nonlinear finite element method based on the fully nonlinear potential flow theory in order to simulate the large amplitude sloshing flow in two-dimensional baffled tank subject to horizontally forced excitation. The free surface is tracked by a direct time differentiation scheme with the four-step predictor-corrector time integration method. The flow velocity is accurately recovered from the velocity potential by second-order least square method. In order to maintain the finite element mesh regularity and total mass, the semi-Lagrangian surface tracking method with area conservation is applied. According to the numerical formulae, we perform the parametric experiments by varying the installation height and the opening width of baffles, in order to examine the effects of baffle on the nonlinear liquid sloshing. From the numerical results, the hydrodynamic characteristics of the large amplitude sloshing are investigated.

Numerical Analysis of the Small Amplitude Wave by the Boundary Element Method (경계요소법에 의한 미소진폭파의 수치해석(1))

  • 김성득
    • Proceedings of the Korea Water Resources Association Conference
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    • 1985.07a
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    • pp.275-281
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    • 1985
  • The analytical procedure of the boundary element method on potential poblems is introduced and the method is used to analyze the wabe poblem which has the boundary condition based on the small amplitude wave theory. The accuracy of the computational scheme is investigated by comparing the results of progressive wave and standing wave on two dimensional (x-z plane) constant depth and the possibility about analyzing more complicated water wave theories using this method is discussed.

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Dynamic characteristics of hygro-magneto-thermo-electrical nanobeam with non-ideal boundary conditions

  • Ebrahimi, Farzad;Kokaba, Mohammadreza;Shaghaghi, Gholamreza;Selvamani, Rajendran
    • Advances in nano research
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    • v.8 no.2
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    • pp.169-182
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    • 2020
  • This study presents the hygro-thermo-electromagnetic mechanical vibration attributes of elastically restrained piezoelectric nanobeam considering effects of beam surface for various elastic non-ideal boundary conditions. The nonlocal Eringen theory besides the surface effects containing surface stress, surface elasticity and surface density are employed to incorporate size-dependent effects in the whole of the model and the corresponding governing equations are derived using Hamilton principle. The natural frequencies are derived with the help of differential transformation method (DTM) as a semi-analytical-numerical method. Some validations are presented between differential transform method results and peer-reviewed literature to show the accuracy and the convergence of this method. Finally, the effects of spring constants, changing nonlocal parameter, imposed electric potential, temperature rise, magnetic potential and moisture concentration are explored. These results can be beneficial to design nanostructures in diverse environments.

Two-dimensional Resistivity Modeling Using Boundary Elements Method (경계 요소법을 이용한 2차원 비저항 모델링)

  • 김형수
    • The Journal of Engineering Geology
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    • v.6 no.3
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    • pp.119-130
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    • 1996
  • The theory and numerical technique using boundary elements method (BEM) are given to solve 2-dimensional resistivity problems. Potential distributions from homogeneous resistivity model and layered model are calculated by using BEM for a point source of current injection. The potential distributions of BEM are compared with those of finite difference method (FDM) and finite elements method (FEM). Among the three numerical methods to solve 2-dimensional resistivity problem, it is proved that BEM is more efficient tool than FDM and FEM in consideration of computing storage and time as weU as the accuracy of solutions.

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Pressure loading, end- shortening and through- thickness shearing effects on geometrically nonlinear response of composite laminated plates using higher order finite strip method

  • Sherafat, Mohammad H.;Ghannadpour, Seyyed Amir M.;Ovesy, Hamid R.
    • Structural Engineering and Mechanics
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    • v.45 no.5
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    • pp.677-691
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    • 2013
  • A semi-analytical finite strip method is developed for analyzing the post-buckling behavior of rectangular composite laminated plates of arbitrary lay-up subjected to progressive end-shortening in their plane and to normal pressure loading. In this method, all the displacements are postulated by the appropriate harmonic shape functions in the longitudinal direction and polynomial interpolation functions in the transverse direction. Thin or thick plates are assumed and correspondingly the Classical Plate Theory (CPT) or Higher Order Plate Theory (HOPT) is applied. The in-plane transverse deflection is allowed at the loaded ends of the plate, whilst the same deflection at the unloaded edges is either allowed to occur or completely restrained. Geometric non-linearity is introduced in the strain-displacement equations in the manner of the von-Karman assumptions. The formulations of the finite strip methods are based on the concept of the principle of the minimum potential energy. The Newton-Raphson method is used to solve the non-linear equilibrium equations. A number of applications involving isotropic plates, symmetric and unsymmetric cross-ply laminates are described to investigate the through-thickness shearing effects as well as the effect of pressure loading, end-shortening and boundary conditions. The study of the results has revealed that the response of the composite laminated plates is particularly influenced by the application of the Higher Order Plate Theory (HOPT) and normal pressure loading. In the relatively thick plates, the HOPT results have more accuracy than CPT.

Field Experiments for Reducing Frost Susceptibility Using Recycled Tire Powder (폐타이어 파우더 혼합이 동상억제에 미치는 영향에 관한 야외실험 연구)

  • Kim, Hak-Sam;Suzuki, Teruyuki;Fukuda, Masani;Seo, Sang-Youl;Yamashita, Satoshi
    • Journal of the Korean Geotechnical Society
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    • v.26 no.4
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    • pp.5-14
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    • 2010
  • Three years of frost heave field experiments were conducted to evaluate a method for reducing heave using a recycled tire powder-soil mixture. By mixing Tomakomai soil with 20% recycled tire powder, frost heave amount was drastically decreased. The results of the field experiment confirm that recycled tire powder is an excellent material for use in controlling the total amount of heave. The restraining effect of a recycled tire powder-soil mixture is qualitatively analyzed based on amount of frost heave, frost heave ratio, thermal conductivity, permeability and segregation potential theory.

A Qualitative Analysis of the Purchase Process of Digital Device Accessories: Interpretation by Digital Shadow Work (휴대용 디지털기기 엑세사리 구매과정의 질적 분석: 디지털그림자노동에 의한 해석)

  • Lee, Woong Kyu;Cho, A Ra
    • The Journal of Information Systems
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    • v.32 no.1
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    • pp.85-108
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    • 2023
  • Purpose The purpose of this study is to identify the role of digital shadow work(DSW) in the psychological mechanism that controls using and purchasing digital device accessories. More specifically, it is to reveal how the digital device user's perception of DSW is formed and how the formed DSW affects purchase and what results it will bring. Design/methodology/approach Ground theory method(GTM), one of qualitative appoaches, is adopted as research methodology. By interviewing total twenty five users, the data are analyzed by open coding amd axis coding. Two core codes are selected by selective coding and interpreted by DSW theory. Findings We find concern for potential DSW and generation of new DSW. Concern for potential DSW lead to the purchase of accessorie which would be supposed to reduce potential DSW. During purchasing accessories, quest type DSW, which provices flow experience and expertise, could be genterated. This means that there would be dynamics of DSW in the purchase process of digital device accessories.