• 제목/요약/키워드: Governing equation

검색결과 1,274건 처리시간 0.024초

탄소나노튜브 액츄에이터의 이론적 모델링 (Analytical Modeling of Carbon Nanotube Actuators)

  • 염영일;박철휴
    • 제어로봇시스템학회논문지
    • /
    • 제10권11호
    • /
    • pp.1006-1011
    • /
    • 2004
  • Carbon nanotubes have outstanding properties which make them useful for a number of high-technology applications. Especially, single-walled carbon nanotube (SWNT), working under physical conditions (in aqueous solution) and converting electrical energy into mechanical energy directly, can be a good substitute for artificial muscle. The carbon nanotube structure simulated in this paper is an isotropic cantilever type with an adhesive tape which is sandwiched between two SWNTs. For predicting the geometrical and physical parameters such as deflection, slope, bending moment and induced force with various applied voltages, the analytical model for a 3 layer bimorph nanotube actuator is developed by applying Euler-Bernoulli beam theory. The governing equation and boundary conditions are derived from energy Principles. Also, the brief history of carbon nonotube is overviewed and its properties are compared with other functional materials. Moreover, an electro-mechanical coupling coefficient of the carbon nanotube actuator is discussed to identify the electro-mechanical energy efficiency.

강상자거더의 뒤틀림해석에 관한 유한요소 정식화 (Finite Element Formulation for the Distortion Analysis of Steel Box Girders)

  • 최영준;정래영;황선호;강영종
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 1999년도 봄 학술발표회 논문집
    • /
    • pp.327-334
    • /
    • 1999
  • Steel box girders are popular to the Practicing engineers for the its large Pure torsional constant. But closed box girders at-e susceptible to the eccentric loading due to the distortion of the cross section. Distorton of the box girder develops the warping normal stress and transverse flexural stress in the cross section and their magnitudes can be large unless internal diaphragms are installed sufficiently. In this study, stiffness matrix and equivalent nodal force vector are formulated on the basis of displacement method. Shape functions are directly derived from the homogeneous solution of the governing differential equation of the distortion. New finite element formulations were coded into a computer program. Several numerical examples were presented to show the validity of developed program.

  • PDF

A dynamic foundation model for the analysis of plates on foundation to a moving oscillator

  • Nguyen, Phuoc T.;Pham, Trung D.;Hoang, Hoa P.
    • Structural Engineering and Mechanics
    • /
    • 제59권6호
    • /
    • pp.1019-1035
    • /
    • 2016
  • This paper proposes a new foundation model called "Dynamic foundation model" for the dynamic analysis of plates on foundation subjected to a moving oscillator. This model includes a linear elastic spring, shear layer, viscous damping and the special effects of mass density parameters of foundation during vibration. By using finite element method and the principle of dynamic balance, the governing equation of motion of the plate travelled by the oscillator is derived and solved by the Newmark's time integration procedure. The accuracy of the algorithm is verified by comparing the numerical results with the other numerical results in the literature. Also, the effects of mass and damping ratio of system components, stiffness of suspension system, velocity of moving oscillator, and dynamic foundation parameters on dynamic responses are investigated. A very important role of these factors will be shown in the dynamic behavior of the plate.

Application of Eringen's nonlocal elasticity theory for vibration analysis of rotating functionally graded nanobeams

  • Ebrahimi, Farzad;Shafiei, Navvab
    • Smart Structures and Systems
    • /
    • 제17권5호
    • /
    • pp.837-857
    • /
    • 2016
  • In the present study, for first time the size dependent vibration behavior of a rotating functionally graded (FG) Timoshenko nanobeam based on Eringen's nonlocal theory is investigated. It is assumed that the physical and mechanical properties of the FG nanobeam are varying along the thickness based on a power law equation. The governing equations are determined using Hamilton's principle and the generalized differential quadrature method (GDQM) is used to obtain the results for cantilever boundary conditions. The accuracy and validity of the results are shown through several numerical examples. In order to display the influence of size effect on first three natural frequencies due to change of some important nanobeam parameters such as material length scale, angular velocity and gradient index of FG material, several diagrams and tables are presented. The results of this article can be used in designing and optimizing elastic and rotary type nano-electro-mechanical systems (NEMS) like nano-motors and nano-robots including rotating parts.

천음속 팬의 3차원 유동에 관한 수치해석 (A Numerical Analysis of Three-Dimensional Flow Within a Transonic Fan)

  • 정주현;고성호
    • 대한기계학회논문집B
    • /
    • 제23권1호
    • /
    • pp.82-91
    • /
    • 1999
  • A numerical analysis based on the three-dimensional Reynolds-averaged Navier-Stokes equation has been conducted to investigate the flow within a NASA rotor 67 transonic fan. General coordinate transformations are used to represent the complex blade geometry and an H-type grid is used. The governing equations are solved using implicit LU-SGS scheme for the time-marching integration and a standard ${\kappa}-{\varepsilon}$ model is used with wall functions for the turbulence modeling. The computations are compared with the experimental data and a detailed study of the flow structures near peak efficiency and near stall is presented. The calculated overall aerodynamic efficiency and three-dimensional shock system agree well with the laser anemometer data.

수직자장하에서 원관내 자성유체의 거동에 관한 연구 (A Study on the Flow Behavior of Magnetic Fluids in a Circular Pipe with a Vertical Magnetic Field)

  • 박정우;유신오;서이수
    • 대한기계학회논문집B
    • /
    • 제23권1호
    • /
    • pp.25-32
    • /
    • 1999
  • In the present paper, we theoretically analyze the flow of magnetic fluids in a circular pipe with a vertical magnetic field and investigate the magnetic response by the external magnetic field. Theoretical study through the governing equation derived by Siliomis is carried out with numerical analysis by the Gauss Elimination Method. Using polar and magnetic effect parameters, theoretical equations and distributions for the velocity, vorticity, internal angular momentum and induced magnetization as the magnetic response are shown. Especially, in the region of strong magnetic field the specific property is appeared by finding a critical magnetic effect parameter for a polar effect parameter.

A Thermal Conductivity Model for Hydrating Concrete Pavements

  • 정진훈;김낙석
    • 콘크리트학회논문집
    • /
    • 제16권1호
    • /
    • pp.125-129
    • /
    • 2004
  • Hydrating concrete pavement is typically subjected to temperature-induced stresses that drive cracking mechanisms at early concrete ages. Undesired cracking plays a key role in the long-term performance of concrete pavement systems. The loss of support beneath the concrete pavement due to curling caused by temperature changes in the pavement may induce several significant distresses such as punch out pumping, and erosion. The effect of temperature on these distress mechanisms is both significant and intricate. Because thermal conductivity dominates temperature flow in hydrating concrete over time, this material property is back-calculated by transforming governing equation of heat transfer and test data measured in laboratory. Theoretically, the back- calculated thermal conductivity simulates the heat movements in concrete very accurately. Therefore, the back- calculated thermal conductivity can be used to calibrate concrete temperature predicted by models.

단단 축류압축기 유동해석에 대한 k-w 난류모델의 응용 (Application of k-w turbulence model to the analysis of the flow through a single stage axial-flow compressor)

  • 이준석;김광용
    • 한국유체기계학회 논문집
    • /
    • 제3권3호
    • /
    • pp.7-11
    • /
    • 2000
  • A numerical study based on the three-dimensional thin-layer Navier-Stokes solver is carried out to analyze the flowfield through a single stage transonic compressor. Explicit fout-step Runge-Kutta scheme with spatially variable time step and implicit residual smoothing is used. The governing equations we discretized with explcit finite difference method. Mired-out average method is used at the interface between rotor and stator. And, an artificial dissipation model is used to assure the stability of solution. The results with k-w turbulence model were compared to the results with Baldwin-Lomax model, and physical phenomena of transonic compressor are presented. The two turbulence models give the results that show reasonably good agreements with experimental data.

  • PDF

Analysis on Characteristic of Pressure Fluctuation in Hydraulic Turbine with Guide Vane

  • Shi, FengXia;Yang, JunHu;Wang, XiaoHui
    • International Journal of Fluid Machinery and Systems
    • /
    • 제9권3호
    • /
    • pp.237-244
    • /
    • 2016
  • An unsteady three-dimensional simulation based on Reynolds time-averaged governing equation and RNG $k-{\varepsilon}$ turbulence model, was presented for pump-as-turbine, the pressure fluctuation characteristic of hydraulic turbine with guide vane was obtained. The results show that the time domains of pressure fluctuation in volute change periodically and have identical cycles. In volute tongue and inlet pressure fluctuations are light, while in dynamic and static coupling interface pressure fluctuations are serious; In impeller blade region the pressure fluctuation of pressure surface are lighter than that of suction surface. The dominant frequencies of pressure fluctuation concentrate in low frequency region, and concentrate within 2 times of the blade passing frequency.

고속용 동기 릴럭턴스 전동기 특성 (Characteristic of High Speed Synchronous Reluctance Motor(SynRM))

  • 주수원;한성진;구대현;홍정표
    • 대한전기학회논문지:전기기기및에너지변환시스템부문B
    • /
    • 제55권4호
    • /
    • pp.203-208
    • /
    • 2006
  • This paper presents characteristics of SynRM(Synchronous Reluctance Motor) that is compared with a high speed induction motor. SynRM is much suitable for high speed electric machines because of structural robustness. There are many kinds of SynRM according to the shape of rotors. Particularly, axially laminated anisotropic (ALA) rotor is suitable for high speed instruments. Characteristics of SynRM with ALA rotor is obtained from a governing voltage and torque equation mainly composed of d-axis and q-axis inductance that will be identified with finite element method.