• 제목/요약/키워드: integral distribution

검색결과 427건 처리시간 0.024초

전도채널을 갖는 뼈와 유사한 재료의 절연파괴 해석 (Dielectric Breakdown Analysis of Bone-Like Materials with Conductive Channels)

  • 이보현;;범현규
    • 대한기계학회논문집A
    • /
    • 제35권6호
    • /
    • pp.583-589
    • /
    • 2011
  • 순수한 전기장 하에서의 뼈와 유사한 재료의 절연파괴에 대하여 연구하였다. 일반적으로 뼈와 유사한 재료는 강한 유전강도를 가지는 층과 약한 유전강도를 가지는 층이 서로 평행하게 엇갈려 있는 형태로 구성되어 있다. 뼈와 유사한 재료의 약한 층을 관통하는 전도채널의 성장은 전기장의 집중이 완화되기 때문에 지연된다. 관형채널의 선단에서 전기장의 분포를 유한요소해석을 통해 구하였다. 뼈와 유사한 재료의 절연강도를 J 적분을 사용하여 계산하였고, 절연강도에 영향을 미치는 인자들을 찾아내었다. J 적분은 약한 층에서의 절연파괴 면적이 증가할 수록 작아짐을 보였다. 또한, 약한 층과 강한 층의 유전율의 비가 절연파괴에 큰 영향을 미치는 것으로 나타났다.

A four variable trigonometric integral plate theory for hygro-thermo-mechanical bending analysis of AFG ceramic-metal plates resting on a two-parameter elastic foundation

  • Tounsi, Abdelouahed;Al-Dulaijan, S.U.;Al-Osta, Mohammed A.;Chikh, Abdelbaki;Al-Zahrani, M.M.;Sharif, Alfarabi;Tounsi, Abdeldjebbar
    • Steel and Composite Structures
    • /
    • 제34권4호
    • /
    • pp.511-524
    • /
    • 2020
  • In this research, a simple four-variable trigonometric integral shear deformation model is proposed for the static behavior of advanced functionally graded (AFG) ceramic-metal plates supported by a two-parameter elastic foundation and subjected to a nonlinear hygro-thermo-mechanical load. The elastic properties, including both the thermal expansion and moisture coefficients of the plate, are also supposed to be varied within thickness direction by following a power law distribution in terms of volume fractions of the components of the material. The interest of the current theory is seen in its kinematics that use only four independent unknowns, while first-order plate theory and other higher-order plate theories require at least five unknowns. The "in-plane displacement field" of the proposed theory utilizes cosine functions in terms of thickness coordinates to calculate out-of-plane shear deformations. The vertical displacement includes flexural and shear components. The elastic foundation is introduced in mathematical modeling as a two-parameter Winkler-Pasternak foundation. The virtual displacement principle is applied to obtain the basic equations and a Navier solution technique is used to determine an analytical solution. The numerical results predicted by the proposed formulation are compared with results already published in the literature to demonstrate the accuracy and efficiency of the proposed theory. The influences of "moisture concentration", temperature, stiffness of foundation, shear deformation, geometric ratios and volume fraction variation on the mechanical behavior of AFG plates are examined and discussed in detail.

Thermodynamical bending analysis of P-FG sandwich plates resting on nonlinear visco-Pasternak's elastic foundations

  • Abdeldjebbar Tounsi;Adda Hadj Mostefa;Abdelmoumen Anis Bousahla;Abdelouahed Tounsi;Mofareh Hassan Ghazwani;Fouad Bourada;Abdelhakim Bouhadra
    • Steel and Composite Structures
    • /
    • 제49권3호
    • /
    • pp.307-323
    • /
    • 2023
  • In this research, the study of the thermoelastic flexural analysis of silicon carbide/Aluminum graded (FG) sandwich 2D uniform structure (plate) under harmonic sinusoidal temperature load over time is presented. The plate is modeled using a simple two dimensional integral shear deformation plate theory. The current formulation contains an integral terms whose aim is to reduce a number of variables compared to others similar solutions and therefore minimize the computation time. The transverse shear stresses vary according to parabolic distribution and vanish at the free surfaces of the structure without any use of correction factors. The external load is applied on the upper face and varying in the thickness of the plates. The structure is supposed to be composed of "three layers" and resting on nonlinear visco-Pasternak's-foundations. The governing equations of the system are deduced and solved via Hamilton's principle and general solution. The computed results are compared with those existing in the literature to validate the current formulation. The impacts of the parameters (material index, temperature exponent, geometry ratio, time, top/bottom temperature ratio, elastic foundation type, and damping coefficient) on the dynamic flexural response are studied.

경계적분 방정식법에 의한 항내 청정도 해석 (Analysis on the Harbor Tranquility by Boundary Integral Equation Method)

  • 이철응;편종근;이길성
    • 한국해안해양공학회지
    • /
    • 제3권4호
    • /
    • pp.223-234
    • /
    • 1991
  • 본 연구에서는 경계적분 방법을 사용하여 기존에 문제점으로 지적되온 외해 경계조건을 임의의 가상 경계상에 용출점을 분포시키는 기법으로 처리하여 항만 입구의 방파제나 기타 구조물 등에 의하여 발생되는 파랑의 회절효과를 반영하였다. 또한 항내 에너지 손실효과는 부분 반사개념을 사용하여 해석하였다. 본 연구의 수치적 검증은 해석해를 구할 수 있는 직사각형 항만과 여러 반원형 항만에 대한 파랑응답 특성을 비교하였으며 그 결과는 잘 일치하였다. 또한 후포항에 대한 파고분포를 계산하여 수리 모형실험의 결과 및 시간의존 완경사 방정식을 이용한 수치모형의 결과와 비교하여 좋은 결과를 얻었다.

  • PDF

차동기질내에서 위형 루우프 안테나의 배열에 관한 연구 (A study on the Array of Circular Loop Antenna in Moving Media)

  • 최병하
    • 대한전자공학회논문지
    • /
    • 제11권6호
    • /
    • pp.33-37
    • /
    • 1974
  • 본 논문에서는 광속에 비하여 대단히 작은 진도의 운동매질내에서 도형 루우프 안테나의 array에 대한 방사 특성 및 전류분포를 고찰하였다. 즉 운동매질내의 무형 루우프 안테나 array 상태에서 전류에 대한 적분방정식을 유도차고 이 적분방정식의 해로서 courier경수형식의 전류를 구하였다. 이 전류와 운동매질내에서의 Dayadic Green 함수로부터 전자계식을 구하고, 이들 식을 2개소자로 이루어진 강형 루우프 안테나 array에 적용하여 수치계산을 한 다음, 이를 정지매질의 경우와 비교검토한 결과 전계패턴이 운동매질내에서 매질속도와 반대방향으로 확대되고, 매질속도와 같은 방향으로는 축소되며 지향성이 편위됨을 볼 수 있었다. 이와 같은 변화의 정도는 매질속도가 클수록, 또 루우프의 반경이 클수록 현저하였다.

  • PDF

Ancillary Service Requirement Assessment Indices for the Load Frequency Control in a Restructured Power System with Redox Flow Batteries

  • Chandrasekar, K.;Paramasivam, B.;Chidambaram, I.A.
    • Journal of Electrical Engineering and Technology
    • /
    • 제11권6호
    • /
    • pp.1535-1547
    • /
    • 2016
  • This paper proposes various design procedures for computing Power System Ancillary Service Requirement Assessment Indices (PSASRAI) for a Two-Area Thermal Reheat Interconnected Power System (TATRIPS) in a restructured environment. In an interconnected power system, a sudden load perturbation in any area causes the deviation of frequencies of all the areas and also in the tie-line powers. This has to be corrected to ensure the generation and distribution of electric power companies to ensure good quality. A simple Proportional and Integral (PI) controllers have wide usages in controlling the Load Frequency Control (LFC) problems. So the design of the PI controller gains for the restructured power system are obtained using Bacterial Foraging Optimization (BFO) algorithm. From the simulation results, the PSASRAI are calculated based on the settling time and peak over shoot concept of control input deviations of each area for different possible transactions. These Indices are useful for system operator to prepare the power system restoration plans. Moreover, the LFC loop coordinated with Redox Flow Batteries (RFB) has greatly improved the dynamic response and it reduces the control input requirements and to ensure improved PSASRAI, thereby improving the system reliability.

자유표면(自由表面)에 접착(接着)된 원통(圓筒)에 가(加)해진 축방향하중(軸方向荷重)으로 인(因)한 응력분포(應力分布) 및 변위(變位)에 대(對)한 수학적(數學的) 해석(解析)(제1보)(第1報) (Mathematical Analysis for the Stress Distribution and Displacement by an Axial Load in an Elastic Half -Space by a Rigid Punch in the Form of a Flat-Ended Circular Cylinder Cemented to the Stress Free Surface(Part 1))

  • 이낙주
    • 대한조선학회지
    • /
    • 제5권1호
    • /
    • pp.1-7
    • /
    • 1968
  • In this problem the ragid punch in the form of a flat-ended circular cylinder of unit radius is cemented to the stress free surface of an elastic half-space. An axial load P is then applied to the punch to force it into half-space to depth $\varepsilon$. It is assumed that the adhesive between the punch and can be reduced to the system of Abel type integral equations which are equation (13) and (14). It is also shown that the stress and displacement components on the portions of boundary where they are not prescribed can be expressed in terms of $\phi(t)$ and/or $\phi(t)$ which are introduced in equation (9) and (10). Those functions can be obtained from the solution of the system of integral equations (13) and (14).

  • PDF

THERMAL MODELS AND FAR INFRARED EMISSION OF ASTEROIDS

  • KIM SAM;LEE HYUNG MOK;NAKAGAWA TAKAO;HASEGAWA SUNAO
    • 천문학회지
    • /
    • 제36권1호
    • /
    • pp.21-31
    • /
    • 2003
  • ASTRO-F /FIS will carry out all sky survey in the wavelength from 50 to 200 ${\mu}m$. At far infrared, stars and galaxies may not be good calibration sources because the IR fluxes could be sensitive to the dust shell of stars and star formation activities of galaxies. On the other hand, asteroids could be good calibration sources at far infrared because of rather simple spectral energy distribution. Recent progresses in thermal models for asteroids enable us to calculate the far infrared flux fairly accurately. We have derived the Bond albedos and diameters for 559 asteroids based on the IRAS and ground based optical data. Using these thermal parameters and standard thermal model, we have calculated the spectral energy distributions of asteroids from 10 to 200 ${\mu}m$. We have found that more than $70\%$ of our sample asteroids have flux errors less than $10\%$ within the context of the best fitting thermal models. In order to assess flux uncertainties due to model parameters, we have computed SEDs by varing external parameters such as emissivity, beaming parameter and phase integral. We have found that about 100 asteroids can be modeled to be better than $5.8\%$ of flux uncertainties. The systematic effects due to uncertainties in phase integral are not so important.

적분방정식(積分方程式)을 이용한 2층(二層) 다공성(多孔性) 매질(媒質)에서의 1차원 수두분포(水頭分布) 해석 (One-dimensional head distribution analysis in two-layer porous media using integral equations)

  • 이상일
    • 대한토목학회논문집
    • /
    • 제13권1호
    • /
    • pp.97-103
    • /
    • 1993
  • 두 개의 서로 다른 수문지질학적 성질을 갖는 다공성 매질이 대수층을 이룰 때, 수두분포를 적분방정식을 이용한 준해석적인 방법으로 구하는 방법을 연구하였다. 하단(下端)에서 지하수위(地下水位)의 위치가 알려져 있고, 하단(下端)에서의 경계조건이 일정수도 혹은 일정 유동량으로 주어질 때의 1차원 해석 알고리즘을 개발하고, 충적층(沖積層)(alluvium) 위에 석탄재(fly ash)를 매립하는 처분장의 경우에 적용하였다. 그 결과 얻어진 수두분포는 경계면 바로 윗부분에서 매우 큰 압력경사를 나타내었고, 이것이 수치해석을 어렵게 만드는 요인임을 발견하였다. 해석적으로 얻은 압력경사는 수치해석 수행시 격자(格子)의 배열을 어떻게 할 것인지에 대한 대안을 제시하였고, 그에 따른 수치해석 결과는 해석치와 근사함을 보였다.

  • PDF

A frictionless contact problem for two elastic layers supported by a Winkler foundation

  • Birinci, Ahmet;Erdol, Ragip
    • Structural Engineering and Mechanics
    • /
    • 제15권3호
    • /
    • pp.331-344
    • /
    • 2003
  • The plane contact problem for two infinite elastic layers whose elastic constants and heights are different is considered. The layers lying on a Winkler foundation are acted upon by symmetrical distributed loads whose lengths are 2a applied to the upper layer and uniform vertical body forces due to the effect of gravity in the layers. It is assumed that the contact between two elastic layers is frictionless and that only compressive normal tractions can be transmitted through the interface. The contact along the interface will be continuous if the value of the load factor, ${\lambda}$, is less than a critical value. However, interface separation takes place if it exceeds this critical value. First, the problem of continuous contact is solved and the value of the critical load factor, ${\lambda}_{cr}$, is determined. Then, the discontinuous contact problem is formulated in terms of a singular integral equation. Numerical solutions for contact stress distribution, the size of the separation areas, critical load factor and separation distance, and vertical displacement in the separation zone are given for various dimensionless quantities and distributed loads.