• Interaction and multiscale mechanics
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• 제5권2호
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• pp.105-114
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• 2012

The study of rigid roadway pavement under dynamic traffic loads with variable velocity is investigated in this paper. Rigid roadway pavement is modeled as a rectangular damped orthotropic plate supported by elastic Pasternak foundation. The boundary supports of the plate are the steel dowels and tie bars which provide elastic vertical support and rotational restraint. The natural frequencies of the system and the mode shapes are solved using two transcendental equations, obtained from the solution of two auxiliary Levy's type problems, known as the Modified Bolotin Method. The dynamic moving traffic load is expressed as a concentrated load of harmonically varying magnitude, moving straight along the plate with a variable velocity. The dynamic response of the plate is obtained on the basis of orthogonality properties of eigenfunctions. Numerical example results show that the velocity and the angular frequency of the loads affected the maximum dynamic deflection of the rigid roadway pavement. It is also shown that a critical speed of the load exists. If the moving traffic load travels at critical speed, the rectangular plate becomes infinite in amplitude.

• Journal of applied mathematics & informatics
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• 제40권1_2호
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• pp.99-115
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• 2022

The problem of Benard double diffusive Marangoni convection is investigated in a horizontally infinite composite layer system consisting of a two component fluid layer above a porous layer saturated with the same fluid, using Darcy-Brinkman model with constant heat sources/sink in both the layers. The lower boundary of the porous region is rigid and upper boundary of the fluid region is free with Marangoni effects. The system of ordinary differential equations obtained after normal mode analysis is solved in closed form for the eigenvalue, thermal Marangoni number for two types of thermal boundary combinations, Type (I) Adiabatic-Adiabatic and Type (II) Adiabatic -Isothermal. The corresponding two thermal Marangoni numbers are obtained and the essence of the different parameters on non-Darcy-Benard double diffusive Marangoni convection are investigated in detail.

• 대한수학회보
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• 제61권1호
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• pp.217-227
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• 2024

Let G be an infinite countable group and A be a finite set. If Σ ⊆ A^G is a strongly irreducible subshift of finite type and 𝓖 is the local conjugacy equivalence relation on Σ. We construct a decreasing sequence 𝓡 of unital C^*-subalgebras of C(Σ) and a sequence of faithful conditional expectations E defined on C(Σ), and obtain a Toeplitz algebra 𝓣 (𝓡, 𝓔) and a C^*-algebra C^*(𝓡, 𝓔) for the pair (𝓡, 𝓔). We show that C^*(𝓡, 𝓔) is *-isomorphic to the reduced groupoid C^*-algebra C^*_r(𝓖).

• 정보저장시스템학회논문집
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• 제1권1호
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• pp.108-114
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• 2005

The generation of fine relics of suspensions is a significant interest as it holds the key to the fabrication of electronic devices. These processes offer opportunities for miniaturization of multilayer circuits, for production of functionally graded materials, ordered composites and far small complex-shaped components. Some novel printing methods of depositing ceramic and metal droplets were suggested in recent years. In an electro-hydrodynamic printing, the metallic capillary nozzle can be raised to several kilovolts with respect to the infinite ground plate or pin-type electrode positioned a few millimeters from the nozzle tip. Depending on the electrical and physical properties of the liquid, for a given geometry, it Is possible to generate droplets in any one of three modes, dripping, cone-jet and multi-jet. In this experiment, an alumina suspension flowing through a nozzle was subjected to electro-hydrodynamic printing using pin-type electrodes in the cone-jet mode at different applied voltages. The pin-type electrodes of 1, 100, 1000${\mu}m$ in diameter were used to form fine ceramic patterns onto the substrates. Various feature sizes with applied voltages and electrode diameters were measured. The feature sizes increased with the electrode diameter and applied voltages. The feature size was as fine as $30 {\mu}m$.

• Structural Engineering and Mechanics
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• 제62권1호
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• pp.113-123
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• 2017

The bi-material elastic system consisting of the circular hollow cylinder and the infinite elastic medium surrounding this cylinder is considered and it is assumed that on the inner free face of the cylinder a point-located axisymmetric time harmonic force, with respect to the cylinder's axis and which is uniformly distributed in the circumferential direction, acts. The shear-spring type imperfect contact conditions on the interface between the constituents are satisfied. The mathematical formulation of the problem is made within the scope of the exact equations of linear elastodynamics. The focus is on the frequency-response of the interface normal and shear stresses and the influence of the problem parameters, such as the ratio of modulus of elasticity, the ratio of the cylinder thickness to the cylinder radius, and the shear-spring type parameter which characterizes the degree of the contact imperfectness, on these responses. Corresponding numerical results are presented and discussed. In particular, it is established that the character of the influence of the contact imperfection on the frequency response of the interface stresses depends on the values of the vibration frequency of the external forces.

• 한국진공학회지
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• 제17권5호
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• pp.419-425
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• 2008

10 mTorr의 이하의 저압조건에서는 비 충돌에 의한 anomalous skin effect 과정이 반드시 고려되어 한다는 것이 선행 연구 결과를 통해 학술적으로 입증된 바 있다. 그러나 단면적이 0인 필라멘트 타입의 전류 모델을 적용했기 때문에 안테나 중심에서 전기장이 무한대가 되는 비 물리적인 현상이 발생하게 되는 문제가 있다. 따라서 본 연구에서는 단면이 유한한 표면 전류 모델을 적용하여 안테나 영역에서의 전기장을 계산하였으며, 필라멘트 타입의 전류 모델을 적용했을 때와 여러 조건에서 비교하였다.

• Structural Engineering and Mechanics
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• 제74권1호
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• pp.91-104
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• 2020

A mathematical analysis has been carried out for understanding the traversal attributes of torsional waves in a Voigt-type viscoelastic porous layer bounded with corrugated surfaces resting over a heterogeneous transversely isotropic gravitating semi-infinite medium. Both the media are assumed to be under the effect of initial stresses acting along horizontal directions. In the presumed geometry, continuous and periodic type of corrugation has been considered. The condensed form of dispersion relation has been obtained analytically with the aid of the Whittaker's function and suitable boundary conditions. The influence of viscoelasticity, porosity, initial stresses, heterogeneity, gravity, undulation and position parameters on the phase and damped velocities has been illustrated graphically. In addition, relative examination investigating the impact of corrugated and planar bounded surfaces on the dispersion and damping characteristics is one of the important highlights of this study.

• 대한전기학회논문지
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• 제32권9호
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• pp.315-324
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• 1983

과파안정도의 문제중의 하나가 발전기에 장거리 송전선으로 무한의 bus가 연결되었을 때이다. Wisconsin 전력의 Point Beach발전소에 원자력turbine-발전기 #1 그리고 #2가 한 Unit 또는 두 Unit가 밀워키(Milwaukee)의 하나 또는 두 line과 분리되었을대 과파적 불안정 상태가 발생하였다. 이러한 조건하에서 전력계통안정장치(Power System Stabilizer)가 안정작동을 위하여 excitation 계통에 상용되었다. 전력계통안정장치(PSS)의 산정치를 등가 machine0infinits bus성능의 root-locus 분석과 computer 방법에 의한 분석으로 먼저 계측되었다. 이 방법은 전력계통안정장치의 디자인에 그래프식 접근을 허용하고, 디자인 제약들이 변화되어서 speed stabilizer가 계통댐핑(damping) 향상이 요구될때 종합적인 방법으로 생각되어 exciter-generator 계통의 간단한 모델을 세워 분석하였다.

• Interaction and multiscale mechanics
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• 제3권1호
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• pp.95-110
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• 2010

In recent years, study of the static response of pavements to moving vehicle and aircraft loads has received significant attention because of its relevance to the design of pavements and airport runways. The static response of beams resting on an elastic foundation and subjected to moving loads was studied by several researchers in the past. However, most of these studies were limited to steady-state analytical solutions for infinitely long beams resting on Winkler-type elastic foundations. Although the modelling of subgrade as a continuum is more accurate, such an approach can hardly be incorporated in analysis due to its complexity. In contrast, the two-parameter foundation model provides a better way for simulating the underlying soil medium and is conceptually more appealing than the one-parameter (Winkler) foundation model. The finite element method is one of the most suitable mathematical tools for analysing rigid pavements under moving loads. This paper presents an improved solution algorithm based on the finite element method for the static analysis of rigid pavements under moving vehicular or aircraft loads. The concrete pavement is discretized by finite and infinite beam elements, with the latter for modelling the infinity boundary conditions. The underlying soil medium is modelled by the Pasternak model allowing the shear interaction to exist between the spring elements. This can be accomplished by connecting the spring elements to a layer of incompressible vertical elements that can deform in transverse shear only. The deformations and forces maintaining equilibrium in the shear layer are considered by assuming the shear layer to be isotropic. A parametric study is conducted to investigate the effect of the position of moving loads on the response of pavement.

• 응용통계연구
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• 제28권2호
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• pp.251-267
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• 2015

인도부페 프로세스는 유한개의 행과 무한개의 열로 이루어진 이진행렬의 분포와 관련된 확률과정이다. 무한특성모형을 유한개의 행과 무한개의 열로 이루어진 이진행렬을 이용해서 표현할 때, 이진행렬에 대한 사전분포로써 인도부페 프로세스가 이용될 수 있다. 본 논문에서는 인도부페 프로세스를 유한특성모형과 연관지어서 유도하는 방법을 소개하고, 베타프로세스와의 관련성을 간략히 설명한다. 실제 모형의 추론에 인도부페 프로세스가 이용되는 예제를 살펴보기 위해서 가우시안 선형모형에 인도부페 프로세스를 적용한 모형화 방법을 언급하고, 깁스표집 알고리즘, 막대 자르기 알고리즘, 변분방법을 이용한 추론방법을 설명한다. 그리고 이 세 가지 알고리즘을 이용하여 이미지 자료를 분석하는데 적용해본다. 나아가 쌍자료 분석, 네트워크 분석, 독립성분 분석에서 인도부페 프로세스가 어떻게 이용될 수 있는지도 알아본다.