• 제목/요약/키워드: Time dependent boundary condition

검색결과 52건 처리시간 0.021초

FOURIER변환을 이용한 차량과 교량의 연성 진동 해석 (An Analysis for Coupled Vibration of Vehicle and Bridge Using Fourier Sine Transformation)

  • 류윤선
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1998년도 춘계학술대회논문집; 용평리조트 타워콘도, 21-22 May 1998
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    • pp.45-50
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    • 1998
  • The coupled vibration occurs between traveling vehicle and bridge, when vehicle runs on it. The natural frequency of this coupled system is dependent on the contact position of vehicle and bridge, that is, time-varying system. The calculations of these natural frequencies are very complicated, and often carried out by using Green function theory, series. But, these methods have any limitations, such as, supporting condition, boundary condition. In this paper, on the coupled system constructed by the concentrated mass and elastically supported beam, an analytical method of natural frequency is proposed by using Fourier sine transformation. The results are compared and discussed with numerically calculated ones.

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Nonlocal vibration analysis of FG nano beams with different boundary conditions

  • Ehyaei, Javad;Ebrahimi, Farzad;Salari, Erfan
    • Advances in nano research
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    • 제4권2호
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    • pp.85-111
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    • 2016
  • In this paper, the classical and non-classical boundary conditions effect on free vibration characteristics of functionally graded (FG) size-dependent nanobeams are investigated by presenting a semi analytical differential transform method (DTM) for the first time. Three kinds of mathematical models, namely; power law (P-FGM), sigmoid (S-FGM) and Mori-Tanaka (MT-FGM) distribution are considered to describe the material properties in the thickness direction. The nonlocal Eringen theory takes into account the effect of small size, which enables the present model to become effective in the analysis and design of nanosensors and nanoactuators. Governing equations are derived through Hamilton's principle and they are solved applying semi analytical differential transform method. The good agreement between the results of this article and those available in literature validated the presented approach. The detailed mathematical derivations are presented and numerical investigations are performed while the emphasis is placed on investigating the effect of the several parameters such as small scale effects, spring constant factors, various material compositions and mode number on the normalized natural frequencies of the FG nanobeams in detail. It is explicitly shown that the vibration of FG nanobeams is significantly influenced by these effects. Numerical results are presented to serve as benchmarks for future analyses of FG nanobeams.

Vibration analysis of sandwich truncated conical shells with porous FG face sheets in various thermal surroundings

  • Rahmani, Mohsen;Mohammadi, Younes;Kakavand, Farshad
    • Steel and Composite Structures
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    • 제32권2호
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    • pp.239-252
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    • 2019
  • Since conical sandwich shells are important structures in the modern industries, in this paper, for the first time, vibration behavior of the truncated conical sandwich shells which include temperature dependent porous FG face sheets and temperature dependent homogeneous core in various thermal conditions are investigated. A high order theory of sandwich shells which modified by considering the flexibility of the core and nonlinear von Karman strains are utilized. Power law rule which modified by considering the two types of porosity volume fractions are applied to model the functionally graded materials. By utilizing the Hamilton's energy principle, and considering the in-plane and thermal stresses in the face-sheets and the core, the governing equations are obtained. A Galerkin procedure is used to solve the equations in a simply supported boundary condition. Uniform, linear and nonlinear temperature distributions are used to model the effect of the temperature changing in the sandwich shell. To verify the results of this study, they are compared with FEM results obtained by Abaqus software and for special cases with the results in literatures. Eigen frequencies variations are surveyed versus the temperature changing, geometrical effects, porosity, and some others in the numerical examples.

시간의존 완경사방정식을 이용한 항내 파고분포 계산 (Computation of Wave Height Distribution Inside a Harbor Using Time-Dependent Mild-Slope Equation)

  • 곽문수;홍길표;편종근
    • 한국해안해양공학회지
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    • 제2권1호
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    • pp.18-27
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    • 1990
  • 항내 파랑모형의 여러 가지 요인을 종합해서 다를 수만 있다면 항만시설의 적절한 배치의 관건인 항내 정온도 판정에 기여하는 바가 매우 클 것이다. 본 논문은 시간의존 완경사방정식을 기본방정식으로 하고, 실제 항만의 반사조건에 적합한 임의반사율 환경조건을 도입하여, 파랑의 굴절, 회절, 천수효과 및 반사 등을 모두 고찰할 수 있는 수치모형을 확립하였다. 본 수치모형을 후포항에 적용하여 그 계산결과와 수리모형실험 및 Takayama 모형의 결과와 비교함으로 써 본 모형의 타당성을 검토하였다. 수리모형실험 결과와는 비교적 잘 일치하였고, Takayama 모형(1981)의 결과와도 유사한 결과를 보여주었다. 따라서, 본 수치모형은 항내 정온도를 판정함에 있어서 유용하게 쓰일 수 있을 것이다.

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주상체의 비선형 운동(I) -강제동요문제, 조파저항문제- (The Nonlinear Motions of Cylinders(I))

  • 이호영;황종흘
    • 대한조선학회논문집
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    • 제29권4호
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    • pp.114-131
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    • 1992
  • 본 논문은 2차원 자유표면파문제에서 시간영역해법을 이용하여 2차원 운동문제에 적용할 수 있는 수치해석을 하였다. 경계조건으로는 엄밀한 물체표면 경계조건과 비선형 자유표면경계 조건을 부과했다. 수치해를 구하는데는 코시이론을 이용하여 제2종 프레드흘름 경계적분방정식을 도출하고 이를 이산화시켜 처리하였다. 수치계산을 위해 전영역을 유한한 영역으로 제한하여야 한다. 제한된 영역에서 방사해의 부과를 위해 전영역을 수치해석영역과 외부영역으로 나누고, 외부영역의 해는 그린 제2정리를 이용하고, 선형자유표면조건을 만족하는 과도그린함수를 사용한다. 위의 그린 제2정리를 이용한 식으로 부터 초기조건, 선형 자유표면조건, 무한원방조건을 이용하여 단순화시킨 다음 포텐셜과 유동함수의 관계식으로 치환하면 비선형해와 정합할 수 있는 정합행렬을 구할 수 있다. 본 논문에서 개발한 정합방법을 이용하여 적용할 문제로서 첫째는 주상체가 상하동요, 수평동요하는 경우 계산이고 두번째로는 수면하에서 타원형실린더가 일정속도로 항진할 때 계산을 수행한 결과를 고차스펙트럴방법과 비교하였다.

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Development of three-dimensional global MHD model for an interplanetary coronal mass ejection

  • An, Jun-Mo;Magara, Tetsuya;Inoue, Satoshi;Hayashi, Keiji;Tanaka, Takashi
    • 천문학회보
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    • 제40권1호
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    • pp.65.2-65.2
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    • 2015
  • We developed a three-dimensional magnetohydrodynamic (MHD) code to reproduce the structure of a solar wind, the properties of a coronal mass ejection (CME) and the interaction between them. This MHD code is based on the finite volume method incorporating total variation diminishing (TVD) scheme with an unstructured grid system. In particular, this grid system can avoid the singularity at the north and south poles and relax tight CFL conditions around the poles, both of which would arise in a spherical coordinate system (Tanaka 1994). In this model, we first apply an MHD tomographic method (Hayashi et al. 2003) to interplanetary scintillation (IPS) observational data and derive a solar wind from the physical values obtained at 50 solar radii away from the Sun. By comparing the properties of this solar wind to observational data obtained near the Earth orbit, we confirmed that our model captures the velocity, temperature and density profiles of a solar wind near the Earth orbit. We then insert a spheromak-type CME (Kataoka et al. 2009) into the solar wind to reproduce an actual CME event. This has been done by introducing a time-dependent boundary condition to the inner boundary of our simulation domain. On the basis of a comparison between a simulated CME and observations near the Earth, we discuss the physics involved in an ICME interacting with a solar wind.

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Analytic responses of slender beams supported by rotationally restrained hinges during support motions

  • Ryu, Jeong Yeon;Kim, Yong-Woo
    • Nuclear Engineering and Technology
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    • 제52권12호
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    • pp.2939-2948
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    • 2020
  • This paper presents an analytic solution procedure of the rotationally restrained hinged-hinged beam subjected to transverse motions at supports based on EBT (Euler-Bernoulli beam theory). The EBT solutions are compared with the solutions based on TBT (Timoshenko beam theory) for a wide range of the rotational restraint parameter (kL/EI) of slender beams whose slenderness ratio is greater than 100. The comparison shows the followings. The internal loads such as bending moment and shearing force of an extremely thin beam obtained by EBT show a good agreement with those obtained by TBT. But the discrepancy between two solutions of internal loads tends to increase as the slenderness ratio decreases. A careful examination shows that the discrepancy of the internal loads originates from their dynamic components whereas their static components show a little difference between EBT and TBT. This result suggests that TBT should be employed even for slender beams to consider the rotational effect and the shear deformation effect on dynamic components of the internal loads. The influence of the parameter on boundary conditions is examined by manipulating the spring stiffness from zero to a sufficiently large value.

소형 왕복동 압축기의 동적 거동 및 윤활특성 해석 (Analysis of the Dynamic Behavior and Lubrication Characteristics of a Small Reciprocating Compressor)

  • 김태종
    • 대한기계학회논문집A
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    • 제27권7호
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    • pp.1138-1145
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    • 2003
  • In this paper, a study on the dynamic behavior and lubrication characteristics of a reciprocating compression mechanism used in small refrigeration compressor is performed. In the problem formulation of the compressor dynamics, the viscous frictional force between piston and cylinder wall is considered in order to determine the coupled dynamic behaviors of piston and crankshaft. The solutions of the equations of motion of the reciprocating mechanism along with the time dependent Reynolds equations for the lubricating film between piston and cylinder wall and oil films of the journal bearings are obtained simultaneously. The hydrodynamic forces of journal bearings are calculated using finite bearing model and Gumbel boundary condition. And, a Newton-Raphson procedure was employed in solving the nonlinear equations of piston and crankshaft. The results explored the effects of design parameters on the stability and lubrication characteristics of the compression mechanism.

엔진 흡기관내의 유체유동에 관한 연구 (A Study on Fluid Flow in the Intake Manifold for an Engine)

  • 성낙원;이응석;강건용;엄종호
    • 대한기계학회논문집
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    • 제12권2호
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    • pp.295-307
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    • 1988
  • 본 연구의 목적은 흡기관내의 유체유동을 Lax-Wendroff 방법을 이용한 유한차분법으로 해석함으로서 엔진 흡기효율에 영향을 미치는 흡기관내 압력을 관찰하고 이를 이용한 흡기관계 최적 설계기술을 확립하고자 한다.

COMPARISON OF FLUX AND RESIDENT CONCENTRATION BREAKTHROUGH CURVES (BTCs) IN STRUCTURED SOIL COLUMNS

  • Kim, Dong-Ju
    • 한국지하수토양환경학회:학술대회논문집
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    • 한국지하수토양환경학회 1997년도 총회 및 춘계 학술발표회 논문집
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    • pp.25-29
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    • 1997
  • In many solute transport studies, either flux or resident concentration has been used. Choice of the concentration mode was dependent on the monitoring device in solute displacement experiments. It would be questionable, however. to accept the equivalency in the solute transport parameters between flux and resident concentrations in structured soils exhibiting preferential movement of solute. In this study, we investigate how they differ in the monitored breakthrough curves (BTCs) and transport parameters for a given boundary and flow condition by performing solute displacement experiments on a number of undisturbed soil columns. Both flux and resident concentrations have been simultaneously obtained by monitoring the effluent and resistance of the Horizontally-positioned TDR probes. The study reveals that soil columns having relatively high flux densities exhibited great differences in the degree of peak concentration and travel time of peak between flux and resident concentrations. The peak concentration in flux mode was several times higher than that in resident one. This was mainly due to the bypassing of solute through soil macropores.

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