• Title/Summary/Keyword: Dispersion equation

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Application of Practical Dispersion-Correction Scheme for Propagation of Tsunami - Sokcho Harbor (지진해일 전파특성을 고려한 실용적인 분산보정 기법의 적용 - 속초항)

  • Choi, Moon-Kyu;Lee, Uk-Han;Lee, Sung-Jae;Cho, Yong-Sik
    • 한국방재학회:학술대회논문집
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    • 2008.02a
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    • pp.431-434
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    • 2008
  • Pratical dispersion-correction scheme is applicated to simulate the distant propagation of tsunami. This scheme is based on the leap-frog finite difference scheme for the linear shallow-water equations. The new scheme has the advantage of using the constant spatial grid size and time step size even in area of variable depths. And this new model constructed by using the 2nd upwind scheme, dynamic linking method, and staggered grid system. This model is simulated to near Sokcho harbor about The Central East Sea Tsunami in 1983. And this result is compared to tide gage and result of former model.

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An Experimental Study of Vibrator Amplitude Change for a Clamping Force Dispersion and Friction Coefficient Decrease (체결력 산포와 마찰계수의 감소를 위한 가진기의 진동량 변화 실험)

  • Lee, Geum-Gang;Moon, Seok-Man;Cho, Yong-Joo
    • Tribology and Lubricants
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    • v.27 no.6
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    • pp.332-337
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    • 2011
  • The object of this experimental study is to investigate influences of vibrator amplitude on clamping force in vibration for bolted joint. The experiment is that change the vibrator amplitude to check clamping force. also the friction coefficient calculated by equation to use an obtained in experiments. The main purpose of generation vibrations is decreasing the clamping force dispersion. also If vibration occurs while tightening the bolt is reduced coefficient of friction. In this paper, In experiments to measure the clamping force before vibrator's amplitude changing. Vibrator's amplitude changes to 5.5mm from 4.4mm. As a result, under various vibration condition, relationship of clamping force and Vibrator amplitude.

Shear waves propagation in an initially stressed piezoelectric layer imperfectly bonded over a micropolar elastic half space

  • Kumar, Rajneesh;Singh, Kulwinder;Pathania, D.S.
    • Structural Engineering and Mechanics
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    • v.69 no.2
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    • pp.121-129
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    • 2019
  • The present study investigates the propagation of shear waves in a composite structure comprised of imperfectly bonded piezoelectric layer with a micropolar half space. Piezoelectric layer is considered to be initially stressed. Micropolar theory of elasticity has been employed which is most suitable to explain the size effects on small length scale. The general dispersion equations for the existence of waves in the coupled structure are obtained analytically in the closed form. Some particular cases have been discussed and in one particular case the dispersion relation is in well agreement to the classical-Love wave equation. The effects of various parameters viz. initial stress, interfacial imperfection and micropolarity on the phase velocity are obtained for electrically open and mechanically free system. Numerical computations are carried out and results are depicted graphically to illustrate the utility of the problem. The phase velocity of the shear waves is found to be influenced by initial stress, interface imperfection and the presence of micropolarity in the elastic half space. The theoretical results obtained are useful for the design of high performance surface acoustic devices.

SH-wave propagation in a heterogeneous layer over an inhomogeneous isotropic elastic half-space

  • Kakar, Rajneesh
    • Earthquakes and Structures
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    • v.9 no.2
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    • pp.305-320
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    • 2015
  • The present paper is devoted to study SH-wave propagation in heterogeneous layer laying over an inhomogeneous isotropic elastic half-space. The dispersion relation for propagation of said waves is derived with Green's function method and Fourier transform. As a special case when the upper layer and lower half-space are homogeneous, our derived equation is in agreement with the general equation of Love wave. Numerically, it is observed that the velocity of SH-wave increases with the increase of inhomogeneity parameter.

Generation of Long Water Waves by Moving Submerged Bodies (수중물체의 운동에 의한 장수파의 생성)

  • Seung-Joon,Lee
    • Bulletin of the Society of Naval Architects of Korea
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    • v.24 no.2
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    • pp.55-61
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    • 1987
  • The wave system due to a moving submerged body is investigated both theoretically and numerically. Boussinesq equation, which is derived under the assumption that the effects of nonlinearity and wave dispersion are of the same order, is generalized to take the forcing agency into account. Furthermore, under the more restrive assumption that the disturbance is of higher order, inhomogeneous Korteweg-de Vries equation is derived. These equations are solved numerically to obtain the generated wave system and the wave-making resistance. These results are compared with those given by the linear theory.

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A Study on the Kinetic Energy and Dispersion Behavior of High-velocity Impact-induced Debris Using SPH Technique (SPH 기법을 이용한 고속충돌 파편의 운동에너지와 분산거동 연구)

  • Sakong, Jae;Woo, Sung-Choong;Kim, Tae-Won
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.40 no.5
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    • pp.457-467
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    • 2016
  • In this study, we investigate the dispersion behavior of debris and debris cloud generated by high-velocity impacts using the smoothed particle hydrodynamics (SPH) technique. The projectile and target plate were made of aluminum, and we confirm the validity of the SPH technique by comparing the measured major and minor axis lengths of the debris cloud in the reference with the predicted values obtained through the SPH analysis. We perform high-velocity impact and fracture analysis based on the verified SPH technique within the velocity ranges of 1.5~4 km/s, and we evaluate the dispersion behavior of debris induced by the impact in terms of its kinetic energy. The maximum dispersion radius of the debris on the witness plates located behind the target plate was increased with increasing impact velocity. We derive an empirical equation that is capable of predicting the dispersion radius, and we found that 95% of the total kinetic energy of the debris was concentrated within 50% of the maximum dispersion radius.

Effect of Temperature on the Surface Tensions in the Detergency System(I) -Change of Surface Tension Components of Washing Liquids- (온도가 세척계의 표면장력에 미치는 영향(제1보) -세액의 표면장력 성분변화를 중심으로-)

  • Chae, Chung-Hee;Kim, Sung-Reon
    • Journal of the Korean Society of Clothing and Textiles
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    • v.17 no.4
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    • pp.511-517
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    • 1993
  • Changes of the surface and interface tension with temperature for washing liquids and alkanes were measured by FACE surface tensiometer. Using the extended Fowkes' equation, the dispersion and polar force components of the surface tension were estimated. The results were as follows : 1. The surface tensions of washing liquids and alkanes decreased almost linearly with the increase of temperature. 2. The interface tensions of 0.25% DBS/alkane increased slowly with the increase of temperature. In the case of nonionic surfactant solutions, however, the interface tensions with alkanes varied with the number of hydrophilic ethylene oxide(EO) groups. 3. Of the surface tension of water at $20^{\circ}C$, the dispersion force component was 25.3 dyn/cm and the polar force component was 47.8 dyn/cm. As the temperature increased, both the polar and dispersion force components decreased in a similar fashion. 4. The dispersion force component of surface tension of 0.25% DBS solution was 30.0 dyn/cm, and the polar force component was 2.2 dyn/cm at $20^{\circ}C$. The two components decreased with the increase of temperature. 5. As the temperature increased, the dispersion force component of surface tension decreased and the polar force component increased significantly for 0.25% NPPG-7.5EO solution. In the case of 025% NPPG-10EO, both the dispersion and polar force components decreased slowly, but the polar force component is expected to increase from $60^{\circ}C$. However, the polar force component of surface tension decreased with the increase of temperature for 025% NPPG-15EO solution, and at the temperature higher than $60^{\circ}C$ the surface tension is expected to be composed of only dispersion force component.

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Analysis of Salinity Dispersion in Estuaries by an X-Z Numerical Model (X-Z 수치모형에 의한 하구의 연도확산 분석)

  • 강주환;이길성
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.3 no.4
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    • pp.185-196
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    • 1991
  • A laterally-averaged X-Z numerical model with transformed coordinates is developed to analyze the salinity dispersion in estuaries. Gravitational term, salinity variations with respect to the water depth. and re-evaluation of , salinity boundary condition are examined. Especially. the improvements in stability and accuracy of the numerical algorithm are made by adopting the fractional step method for the dispersion term of the governing equation. The model being applied to the Keum River Esturary, physical and numerical properties of Manning's n and dispersion coefficients are analyzed. Salinity intrusion into the river, influence of upstream river inflows, and salinity distribution for spring/neap tide are also examined.

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Effect of Organic Processing Parameters in Non-aqueous Tape-casting on Dispersion Stability of Barium Titanate-Borosilicate Glass Based Suspensions (비수계 테잎성형공정의 유기공정변수의 변화에 따른 티탄산바륨-붕규산염유리계 현탁액의 분산안정성)

  • Yeo, Jeong-Gu;Choi, Sung-Churl
    • Korean Journal of Materials Research
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    • v.13 no.11
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    • pp.725-731
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    • 2003
  • The effect of organic processing parameters on the dispersion stability of the BaTiO$_3$-based dielectric particles and borosilicate glass particulate suspensions was investigated in a system where organic solvents, dispersant, binder and modifier were used as processing additives in a low temperature cofired ceramic fabrication processes. Two- and three-component organic solvents were used to disperse ceramic particles and it was found the better stability in the particulate suspension prepared in a bi-solvent, which was consists of toluene and ethanol in a non-azeotropic composition. The addition amount of organic additives had a great impact on dispersion in the present investigation. The flow curves of the suspensions prepared with binder and modifier were fitted according to the power-law equation, which indicates that the internal structure of the suspension could be disturbed under the applied shear stress. Finally, the LTCC green tapes were successfully tape-cast based upon the optimum formulation of LTCC suspension and its microstructure was compared with that of the hard-agglomerates.

Extraction of the Self-Energy from Simulated ARPES Data for High $T_c$ Superconductors (고온초전도체 ARPES 시뮬레이션에서 자체에너지 추출)

  • Bok, Jin-Mo;Yun, Jae-Hyun;Choi, Han-Yong
    • Progress in Superconductivity
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    • v.10 no.2
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    • pp.69-73
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    • 2009
  • For extraction of the self-energy from the angle resolved photoemission spectroscopy(ARPES) experiments for the cuprate superconductors, the momentum distribution curve(MDC) analysis is commonly used. There are two requirements for this method to work: the self-energy is momentum independent and the bare electron dispersion is known. Assuming that the first condition is satisfied in the cuprates, we checked the effects of the bare dispersion on the extracted self-energy. For this, we first generated the ARPES intensity using the tight-binding band of the B2212 by solving the Eliashberg equation. We then extracted the self-energy from the theoretically generated ARPES intensity using the linear and quadratic dispersions. By choosing the bare dispersion such that the Kramer-Kronig relation is best satisfied between the real and imaginary parts of the extracted self-energy, we confirmed that the quadratic dispersion is better for the bare electron band for Bi2212. The self-energy can be reasonably extracted from the ARPES experiments using the MDC analysis.

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