• 제목/요약/키워드: Nondimensional Parameter

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조화력에 의한 원환의 강제진동 (Forced Vibration of a Circular Ring with Harmonic Force)

  • 홍진선
    • 한국소음진동공학회논문집
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    • 제15권2호
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    • pp.123-128
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    • 2005
  • Forced vibration of a thin circular ring with a concentrated harmonic force is analyzed when the ring is free and has only the in-plane motion. Using the unit doublet function for external force, the governing equation is obtained and is solved by the use of Laplace transform. The exact solutions of displacement components and bending moment are obtained. In order to verify the solutions of analysis, finite element analysis is performed and the results shows good agreement. Then, frequency response curves for displacement and bending moment are obtained. In deriving the governing equations and the solutions, nondimensional parameter of the exciting frequency and the magnitude of exciting force are extracted. As the displacement components are obtained, the remaining bending strain, slope, curvature, shear force, etc. can also be derived. With the results of this work, the responses of a free ring excited on multiple points with different frequencies can also be obtained easily by superposition.

세라믹의 마멸기구에 관한 파괴역학적 연구 -마멸실험 결과의 고찰- (Fracture Mechanics Study on Wear Mechanism of Ceramics -Discussions on Experimental Results of Wear Test-)

  • 김석삼;김재호
    • 대한기계학회논문집
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    • 제14권3호
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    • pp.636-645
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    • 1990
  • 본 연구에서는 전보에서 수행한 이론해석의 결과를 실험결과에 적용하여 세라 믹의 마멸형태를 파괴역학적 견지에서 고찰하고, 새로운 세라믹의 마멸이론과 마멸평 가를 위한 파라메타를 제안하고자 한다.

외팔형 복합재료 및 혼합적층 삼각판의 자유진동 해석 (Free Vibration Analysis of Cantilevered Composite and Hybrid Composite Triangular Plates)

  • 이영신;최명환
    • 소음진동
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    • 제3권3호
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    • pp.259-269
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    • 1993
  • For efficient use of composite materials in engineering applications the dynamic behavior, that is, natural frequencies, nodal patterns should be informed. This study presents the experimental and FEM results for the free vibration of cantilevered, symmetrically and antisymmetrically laminated composite triangular plates. The natural frequencies and nodal patterns of a number of CFRP, GFRP, composite-Aluminum and CFRP-GFRP hybrid composite plates are experimentally obtained. A method for the determination of the Young's modulus and test procedures are described. The natural frequencies are determined for a wide range of parameters: e.g., composite material constants, fiber angles and stacking sequences. Natural frequency and nondimensional frequency parameter results are compared with the finite element analysis and existing literatures. Agreement between experimental and calculated frequencies is excellent.

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원관 주위의 대류 열전달에서 경계조건에 대한 원주방향 열전도의 영향 (Effect of Circumferential Wall Heat Conduction on Boundary Conditions for Convection Heat Transfer from a Circular Tube in Cross Flow)

  • 이상봉;이억수;김시영
    • 한국해양공학회지
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    • 제15권2호
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    • pp.39-45
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    • 2001
  • With uniform heat generation from the inner surface of the cylindrical heater placed in a cross flow boundary condition, heat flow that is conducted along the wall of the heater creates a non-isothermal surface temperature and non-uniform heat flux distribution. In the present investigation, the effects of circumferential wall heat conduction on convection heat transfer is investigated for the case of forced convection around horizontal circular tube in cross flow of air. The wall conduction number which can be deduced from the governing energy equation should be used to express the effect of circumferential wall heat conduction. It is demonstrated that the circumferential wall heat conduction influences local Nusselt numbers of one-dimensional and two-dimensional solutions.

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주기적 불안정성을 가지는 충격파 유도 연소의 무차원 해석 (Nondimensional Analysis of Periodically Unstable Shock-Induced Combustion)

  • 최정열;정인석;윤영빈
    • 한국연소학회지
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    • 제1권2호
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    • pp.41-49
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    • 1996
  • A numerical study is conducted to investigate the periodically unstable shock induced combustion around blunt bodies in stoichiometric hydrogen-air mixtures. Euler equations are spatially discretized by upwind-biased third order scheme and temporally integrated by Runge-Kutta method. Chemistry model used in this study involves 8 elementary kinetics steps and 7 species. At a constant Mach number, the effects of projectile size, inflow pressure and inflow temperature are examined with Lehr#s experimental condition as a reference. In addition to oscillation frequency, characteristic distances and time averaged values are found from the result to find an relation with dimensionless parameters. As a result, it is found that the effects of inflow pressure and body size are very similar and $Damk{\ddot{o}}hler$ number plays an important role in determining the instability characteristics.

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ACRT에 의한 초크랄스키 대류진동 제어 (Control of oscillatory Czochralski convection by ACRT)

  • 최정일;성형진
    • 대한기계학회논문집B
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    • 제20권7호
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    • pp.2397-2408
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    • 1996
  • A numerical study was made of the control of transient oscillatory flow modes in Czochralski convection. The reduction of temperature oscillation was achieved by changing the rotation rate of crystal rod, .OMEGA.$_{S}$=.OMEG $A_{S0}$(1+ $A_{S}$sin(2.pi. $f_{S}$/ $t_{p}$t)). The temporal behavior of oscillation flow was scrutinized over broad ranges of two parameters, i.e., the rotation amplitude( $A_{S}$.leq.0.5) and the nondimensional frequency (0.9.leq. $f_{S}$.leq.1.5). The mixed convection parameter was ranged 0.225.leq.Ra/PrR $e^{2}$.leq.0.929, which encompassed the buoyancy-and forced-dominant convection regimes. Computational results revealed that the temperature oscillations could be reduced effectively by a proper adjustment of the control parameters. The uniformity of temperature distribution near the crystal rod was examined. The control of oscillatory flow modes was also made for a realistic, low value of Pr.

횡하중을 받는 반강접 철골 골조의 유연도에 관한 연구( I ) -접합부 해석모형을 중심으로- (A Study on the Flexibility of Semi-Rigid Steel Frames under Lateral Loadings( I ))

  • 강철규;한영철;이갑조
    • 한국강구조학회 논문집
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    • 제8권3호통권28호
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    • pp.127-137
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    • 1996
  • Connections as basic elements and an integrated part of a steel frame has an effect on the frame's performance. Conventional analysis and design techniques are based on either idealized fixed or pinned conditions. In fact, the use of rigid or pinned connection model in steel frame analysis serves the purpose of simplifying the analysis and design processes, but all connections used in current pratice possess stiffness and transfer moment which fall between the extreme cases of fully rigid and ideally pinned. To predict the behavior of the semi-rigid steel frames, it is necessary to predict the moment-rotation behavior of the beam-to-column connections. In this research, prediction equation for moment-rotation behavior of the beam-to-column connection is suggested and the effect of design parameters has investigated. Prediction model, in a nondimensional form shows the moment-rotation characteristic for connections. It is composed of the curve fitting power function using standardization constant K and 4 parameter $KM_o$, ${\theta}_0$, b, n based on the pretest result about moment-rotation behavior of connection.

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Exact solution for dynamic response of size dependent torsional vibration of CNT subjected to linear and harmonic loadings

  • Hosseini, Seyyed A.H.;Khosravi, Farshad
    • Advances in nano research
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    • 제8권1호
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    • pp.25-36
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    • 2020
  • Rotating systems concern with torsional vibration, and it should be considered in vibration analysis. To do this, the time-dependent torsional vibrations in a single-walled carbon nanotube (SWCNT) under the linear and harmonic external torque, are investigated in this paper. Eringen's nonlocal elasticity theory is considered to demonstrate the nonlocality and constitutive relations. Hamilton's principle is established to derive the governing equation of motion and consequently related boundary conditions. An analytical method, called the Galerkin method, is utilized to discretize the driven differential equations. Linear and harmonic torsional loads, along with determined amplitude, are applied to the SWCNT as the external torques. SWCNT is considered under the clamped-clamped end supports. In free vibration, analysis of small scale effect reveals the capability of natural frequencies in different modes, and this results desirably are in coincidence with another study. The forced torsional vibration in the time domain, especially for carbon nanotubes, has not been done before in the previous works. The previous forced studies were devoted to the transverse vibrations. It should be emphasized that the dynamical analysis of torsion is novel, workable, and at the beginning of the path. The variations of nonlocal parameter, CNT's thickness, and the influence of excitation frequency on time-dependent angular displacement and nondimensional angular displacement are investigated in the context.

여러 개의 파사드리거를 갖는 고층구조물에서 리거의 최적위치 (Optimum Rigger Locations for Highrise Braced Frames with Facade Riggers)

  • 정동조;육민혜;임병택;김석구
    • 한국전산구조공학회논문집
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    • 제20권2호
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    • pp.137-146
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    • 2007
  • 구조물의 거동에 대한 파사드리거의 보강 효과를 검토하고 파사드리거의 최적위치를 추정할 수 있는 수치해석방법이 제시되었다. 구조물 상부의 수평변위를 최소화할 수 있는 파사드리거의 최적위치는 파사드리거의 구속효과에 의한 수평변위 감소량을 극대화함으로서 구할 수 있으며 가새골조와 파사드리거의 휨강성과 전단강성에 의해 크게 영향을 받는다. 본 연구에서는 3가지 형태의 하중, 즉 등분포하중과 삼각분포하중 그리고 구조물 상단에 작용하는 집중하중이 고려되었다. 파사드리거의 최적위치는 무차원 강성변수 ${\omega}$${\beta}$의 함수로서 표현되었으며, 1개부터 4개의 파사드리거를 갖는 구조물을 대상으로 최적위치에 대한 도표를 작성하였다. 비록 본 연구에서 제시된 해석방법이 몇 가지의 가정을 기초로 유도되었으나 고층건물의 초기설계단계에서 파사드리거의 최적위치 결정을 위한 비교적 정확한 정보를 제공할 수 있다고 사료된다.

The Experiment of Flow Induced Vibration in PWR RCCAs

  • Kim, Sang-Nyung;Cheol Shin
    • Journal of Mechanical Science and Technology
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    • 제15권3호
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    • pp.291-299
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    • 2001
  • Recently, severe wear on the shutdown rod cladding of Ulchin Nuclear Power Plant #1, #2 were observed by the Eddy Current Test(E.C.T.). In particular, the wear at the sixth card location was up to 75%. The test results indicated that the Flow Induced Vibration(F.I.V.) might be the cause of the fretting wear resulting from the contact between Rod Cluster Control Assemblies(RCCAs) and their spacing cards(guide plates) arranged in the guide tube. From reviewing RCCAs fretting wear repots and analyzing the general characteristics of F.I.V. mechanism in the reactor, geometric layout and flow conditions around the control rod, it is concluded that the turbulence excitation is the most probable vibration mechanism of RCCA. To identify the governing mechanism of RCCA vibration, an experiment was performed for a representative rod position in which the most serious fretting wear experienced among the six rod positions. The experimental rig was designed and set up to satisfy the governing nondimensional numbers which are Reynolds number and mass damping parameter. The vibration amplitude measurement by the non-contact laser displacement sensor showed good agreements in the frequency and the maximum wearing(vibration) location with Ulchin E.C.T. results and Framatome report, respectively. The sudden increase in the vibration amplitude was sensed around the 6th guide plate with mass flow rate variation. Comparing the similitude rod behaviour with the idealized response of a cylinder in flow induced vibration, it was found that he dominant mechanism of vibration was transferred from turbulence excitation to periodic shedding at the mass flow ate 90ι/min. Also the critical velocity of the vibration in RCCAs was determined and the vibration can be prevented by reducing the bypass flow rate below the critical velocity.

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