• 제목/요약/키워드: Finite and Infinite Model

검색결과 191건 처리시간 0.024초

Analytical solution of a contact problem and comparison with the results from FEM

  • Oner, Erdal;Yaylaci, Murat;Birinci, Ahmet
    • Structural Engineering and Mechanics
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    • 제54권4호
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    • pp.607-622
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    • 2015
  • This paper presents a comparative study of analytical method and finite element method (FEM) for analysis of a continuous contact problem. The problem consists of two elastic layers loaded by means of a rigid circular punch and resting on semi-infinite plane. It is assumed that all surfaces are frictionless and only compressive normal tractions can be transmitted through the contact areas. Firstly, analytical solution of the problem is obtained by using theory of elasticity and integral transform techniques. Then, finite element model of the problem is constituted using ANSYS software and the two dimensional analysis of the problem is carried out. The contact stresses under rigid circular punch, the contact areas, normal stresses along the axis of symmetry are obtained for both solutions. The results show that contact stresses and the normal stresses obtained from finite element method (FEM) provide boundary conditions of the problem as well as analytical results. Also, the contact areas obtained from finite element method are very close to results obtained from analytical method; disagree by 0.03-1.61%. Finally, it can be said that there is a good agreement between two methods.

무한 유체 영역에서의 파전파 해석 및 유체-구조물 상호작용 해석을 위한 실용적 수치 모형 (Practical Numerical Model for Wave Propagation and Fluid-Structure Interaction in Infinite Fluid)

  • 조정래;한성욱;이진호
    • 한국전산구조공학회논문집
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    • 제34권6호
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    • pp.427-435
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    • 2021
  • 환경시설물, 댐과 같은 유체를 저장하는 시설물을 대상으로 엄밀하게 지진 거동을 평가하기 위해서는 유체-구조물 상호작용을 고려한 해석이 필요하다. 특히, 댐-호소 계와 같이 상류 방향으로 무한 영역을 가지는 경우에는 이를 적절히 고려해야 할 필요가 있다. 본 연구에서는 댐-호소 계와 같은 반무한 유체 영역을 갖는 시스템을 대상으로 무한 영역의 파전파 해석 및 유체-구조물 상호작용 해석을 위한 실용적인 수치 모형을 제시하였다. 시간영역에 적용가능한 방법으로 정확하면서도 경계적인 해석이 가능하다. 무한 유체 영역에 대해서는 일반 acoustic finite element 대신 작은 개수의 mid-point integrated acoustic finite element를 적용하고 최종 경계에는 점성경계를 부과한다. 제안하는 방법의 유효성과 정확성을 검증하기 위해 강체 댐체를 가정한 반무한 호소계를 대상으로 적용하는 요소의 개수, 모델링 영역 크기 등을 매개변수로 해석해와 비교·검증하였다. 제안된 방법을 적용하여 댐-호소 계의 유체-구조물 상호작용을 부가질량을 사용하는 경우와 비교하였다.

긴 관통자에 의한 유한박판 및 적층표적재의 관통현상 연구 (On the Penetration Phenomena for Thin and Multi-Layered Finite Thickness Plates by a Long Rod Penetrator)

  • 이창현;홍성인
    • 대한기계학회논문집
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    • 제18권7호
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    • pp.1759-1772
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    • 1994
  • In this study, we re-examined the Tate's modified Bernoulli equation to study penetration phenomena for long rod projectile into single or multi-layered finite thickness plates. We used the force equlibrium equation at mushroomed nose/target interface instead of conventional pressure equation at the stagnation point. In our penetration model, we considered the velocity dependent $R_t$ value for semi-infinite target and considered only the back face effect for finite target. To compensate for $R_t$ value according to target's thickness and back face effect, we used the spherical cavity expansion theory for semi-infinite plate and used the cylindrical cavity expansion theory for finite plate. Also we developed the experimental technique using make screen to measure the penetration duration time at each layered plate. In 3-layered laminated RHA/mild steel/ A1 7039 plate, we observed that spall had occured around the back face of A1 7039 plate by the stress wave interaction. Through the comparison between theoretical and experimental data including Lambert's results, we conform that our study has good confidences.

유체 충진된 반 무한 내심형 원통셸의 진동 해석 기법 연구 (A research on the technique for the vibration analysis of fuid-filled, strength member embedded and semi-infinite cylindrical shell)

  • 함일배;배수룡;정의봉
    • 한국정밀공학회지
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    • 제14권12호
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    • pp.127-134
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    • 1997
  • Abstract: A technique to analyze the vibrations of internally fluid-filled, semi-infinite cylindrical shell which has strength members embedded in the shell wall under the axial static tension conditon is presented by using the characteristic wave propagation theory based on the transfer matrix calculated from the finite element matrices of a short module section, with spatial Laplace Tranform technique, and is verified by comparison with the measured results of the test performed on a real module model, and the effects of the embedded strength members on the vibrational response is calculated and discussed.

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강체평면에 흉착접촉하는 반구헝돌기의 유한요소모델링 (finite Element Modeling of a Hemispherical Asperity Adhesively Contacting the Plane Surface of Semi-Infinite Rigid Body)

  • 조성산;박승호
    • 대한기계학회논문집A
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    • 제26권11호
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    • pp.2436-2441
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    • 2002
  • Finite element technique considering adhesive forces is proposed and applied to analyze the behavior of elastic hemispherical asperity adhesively contacting the plane surface of semi -infinite rigid body. It is demonstrated that the finite element model simulates interfacial phenomena such as jump -to-contact and adhesion hysteresis that cannot be simulated with the currently available adhesive contact continuum models. This simulation aiso provides valuable information on contact pressure, contact region and stress distributions. This technique is anticipated to be utilized in designing a low-adhesion surface profile for MEMS/NEMS applications since various contact geometries can be analyzed with this technique.

표면 전류를 기반으로 한 유한 배열 I-모양 메타물질의 TM 편파 전자기 산란 모델 (Scattering Model of TM Polarized Electromagnetic Wave by Finite I-Shaped Metamaterial Array Based on Surface Current Model)

  • 장지웅;이해승;고일석;서일성;이용식
    • 한국전자파학회논문지
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    • 제25권6호
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    • pp.664-670
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    • 2014
  • 일반적으로 메타물질의 성질은 무한히 배열된 단위 셀 구조로 해석한다. 그러나 실제 응용 구조의 설계/구현 과정에서 메타물질은 유한하게 배열할 수밖에 없고, 유한 배열의 효과를 해석하는 방법이 필요하다. 본 논문에서는 유한한 대형 배열 메타물질 구조의 산란 특성을 full-wave 해석 없이 계산하기 위한 방법을 제안하였다. 제안한 모델은 다음과 같다. TM 편파에 대해 유한히 배열한 메타물질 구조의 표면 전류와 무한 배열 표면 전류 비를 4차 다항식으로 근사하였다. 다항식의 계수를 금속 패치의 물리적 길이에 대한 함수로 계산하여, 임의의 I-모양 메타물질이 균일하게 배열된 유한 배열 구조의 전류 분포를 쉽게 계산할 수 있다. 그리고 제안된 전류 분포 모델을 기반으로 예측한 표면 전류를 통해 유한한 메타물질 배열 구조의 산란파를 계산하였다. 또, 제안한 모델을 이용하여 계산한 레이더 반사 단면적(Radar Cross Section: RCS)을 측정 결과와 비교함으로써 제안한 모델의 정확도를 실험적으로 확인하였다.

도전성 및 자성 차폐체의 차폐효과 해석과 차폐인수 산정 (Analysis of Shielding Effectiveness and Estimation of Shielding Factor in Conductive and Magnetic Shields)

  • 강대하
    • 조명전기설비학회논문지
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    • 제27권10호
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    • pp.30-40
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    • 2013
  • In this study the method based on flux linkage in cell was introduced in calculation of eddy currents by cell method. According to this method eddy current distribution and the loss can be evaluated and since the shielding effectiveness by flux cancelation of eddy current can be analyzed, this method is applicable to design of conductive shield. And also the formula of shielding factor were so deduced as to be applicable to finite-width infinite-length shielding sheets and infinite-length underground cable shield. These formula are adaptable to magnetic materials as well as conductive materials. As the results of calculation in model shields are follows. In case of finite-width infinite-length shielding sheet, shielding effectiveness increases with increasing of conductivity. In case of infinite-length underground cable shield, the effectiveness become higher with increasing of permeability. Especially the effectiveness is very high in materials with both high conductivity and permeability in underground cable shield.

Energy Harvesting in Multi-relay Multiuser Networks based on Two-step Selection Scheme

  • Guo, Weidong;Tian, Houyuan;Wang, Qing
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제11권9호
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    • pp.4180-4196
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    • 2017
  • In this paper, we analyze average capacity of an amplify-and-forward (AF) cooperative communication system model in multi-relay multiuser networks. In contrast to conventional cooperative networks, relays in the considered network have no embedded energy supply. They need to rely on the energy harvested from the signals broadcasted by the source for their cooperative information transmission. Based on this structure, a two-step selection scheme is proposed considering both channel state information (CSI) and battery status of relays. Assuming each relay has infinite or finite energy storage for accumulating the energy, we use the infinite or finite Markov chain to capture the evolution of relay batteries and certain simplified assumptions to reduce computational complexity of the Markov chain analysis. The approximate closed-form expressions for the average capacity of the proposed scheme are derived. All theoretical results are validated by numerical simulations. The impacts of the system parameters, such as relay or user number, energy harvesting threshold and battery size, on the capacity performance are extensively investigated. Results show that although the performance of our scheme is inferior to the optimal joint selection scheme, it is still a practical scheme because its complexity is much lower than that of the optimal scheme.

Seismic evaluation of soil-foundation-structure interaction: Direct and Cone model

  • Khazaei, Jahangir;Amiri, Azadeh;Khalilpour, Mehrdad
    • Earthquakes and Structures
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    • 제12권2호
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    • pp.251-262
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    • 2017
  • The present research intends to study the effects of the seismic soil-foundation-structure interaction (SFSI) on the dynamic response of various buildings. Two methods including direct and Cone model were studied through 3D finite element method using ABAQUS software. Cone model as an approximate method to consider the SFSI phenomenon was developed and evaluated for both high and low rise buildings. Effect of soil nonlinearity, foundation rigidity and embedment as well as friction coefficient between soil-foundation interfaces during seismic excitation are investigated. Validity and performance of both approaches are evaluated as reference graphs for Cone model and infinite boundary condition, soil nonlinearity and amplification factor for direct method. A series of calculations by DeepSoil for inverse earthquake record modification was conducted. A comparison of the two methods was carried out by root-mean-square-deviation (RMSD) tool for maximum lateral displacement and story shear forces which verifies that Cone model results have good agreement with direct method. It was concluded that Cone method is a convenient, fast and rather accurate method as an approximate way to count for soil media.

TRUNCATED HANKEL OPERATORS AND THEIR MATRICES

  • Lanucha, Bartosz;Michalska, Malgorzata
    • 대한수학회보
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    • 제56권1호
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    • pp.187-200
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    • 2019
  • Truncated Hankel operators are compressions of classical Hankel operators to model spaces. In this paper we describe matrix representations of truncated Hankel operators on finite-dimensional model spaces. We then show that the obtained descriptions hold also for some infinite-dimensional cases.