• Title/Summary/Keyword: Nondimensional parameter K*

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Transverse Vibration of Rectangular Plates Having an Inner Cutout in Water (유공직사각형평판(有孔直四角形平板)의 접수진동(接水振動))

  • H.S.,Lee;K.C.,Kim
    • Bulletin of the Society of Naval Architects of Korea
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    • v.21 no.1
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    • pp.21-34
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    • 1984
  • This paper is concerned with the experimental investigation of transverse vibration characteristics in water of rectangular plates having an inner free cutout. Systematic experiments are carried out to investigate effects of the surrounding water on the added mass and the natural frequency of the plates due to the changes of the aspect ratio, hole size and eccentricity. The main subject is the clamped rectangular plate with a circular hole. For the purpose of comparative evaluations, some other common-type boundary conditions and hole shapes such as ellipses and rectangles are also investigated. Some of the results obtain are as follows; 1) For each given aspect ratio of the plate, there is a hole area ratio which gives a minimum value of the nondimensional frequency parameter for each mode. The hole area ratio increases as the order number of the mode increases. 2) The nondimensinal mass-increment parameter decreases as the aspect ration or the order number of the mode increases. For each given aspect ratio, the parameter the fundamental mode decreases monotonically as the hole area ratio increase. In cases of the second and higher order modes, however, each mode has a hole area ratio which gives a maximum value of the parameter for each aspect ratio more then 2/3. 3) Comparing elliptic holes with rectangular ones with same hole area ratio, nondimensional frequency parameters are almost same for each given ratio of the shorter axises to the longer one. 4) The influences of difference in boundary condion on nondimensional frequency parameters in water are similar to those in air.

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Windmilling Characteristics of Centrifugal-Flow Turbojets

  • Yoo, Il-Su;Song, Seung Jin;Lim, Jin Shik
    • Journal of Mechanical Science and Technology
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    • v.18 no.11
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    • pp.2021-2031
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    • 2004
  • A new nondimensional method for predicting the windmilling performance of centrifugal -flow turbojet engines in flight has been developed. The method incorporates loss correlations to estimate the performance of major engine components. Given basic engine geometry, flight Mach number, and ambient conditions, this method predicts transient and steady-state windmilling performance. Thus, this method can be used during the preliminary design stage when detailed hardware geometry and component performance data are not yet available. A nondimensional time parameter is newly defined, and using this parameter, the transient performance of different types of turbojets (e.g. centrifugal vs. axial) is compared. In addition, the predictions' sensitivity to loss correlations, slip factors, and inlet ambient temperatures are analyzed.

Parameter estimation of a single turbo-prop aircraft dynamic model (단발 터어보프롭 항공기 동적 모델의 파라메터추정)

  • Lee, Hwan;Lee, Sang-Kee
    • Journal of Institute of Control, Robotics and Systems
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    • v.4 no.1
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    • pp.38-44
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    • 1998
  • The modified maximum likelihood estimation method is used to estimate the nondimensional aerodynamic derivatives of a single turbo-prop aircraft at a specified flight condition for the best deduction of the dynamic characteristics. In wind axes the six degree of freedom equations are algebraically linearized so that the linear state equation contains aerodynamic derivatives in a state-space form and is used in the maximum likelihood method. The simulated data added with the measurement noise is used as a flight test data which is necessary to the estimation of nondimensional aerodynamic derivatives. It is obtained by implementing the 6-DOF nonlinear flight simulation. In the flight simulation, the effects of several control input types, control deflection amplitudes, and the turbulence intensities on the statistical convergence criteria are also examined and quantitative analysis of the results is discussed.

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Analysis and optimization of Wiel-Dobke synthetic testing circuit parameters (Weil-Dobke 합성단락 시험회로의 Parameter 분석과 최적화)

  • Kim, Maeng-Hyun;Rhyou, Hyeong-Kee;Park, Jong-Wha;Koh, Hee-Seog
    • Proceedings of the KIEE Conference
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    • 1995.07b
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    • pp.623-627
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    • 1995
  • This paper describes analysis and optimization of Weil-Dobke synthetic testing circuit parameters, which is efficient and economical test method in high capacity AC circuit breaker. In this paper, analysis of synthetic short-circuit test circuit parameter proposed nondimensional factor that is reciprocal comparison value of circuit parameter and is not related to rated of circuit breaker, in particular, this study induce minimization of required energy of critical TRV generation specified in IEC 56 standards and present optimal design of synthetic short circuit testing facilities.

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VIBRATION OF A CIRCULAR PLATE WITH A CONCENTRATED MASS ATTACHED ON A RADIUS

  • Lee, Jang-Moo;Hong, Jin-Sun
    • Journal of Theoretical and Applied Mechanics
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    • v.1 no.1
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    • pp.89-96
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    • 1995
  • An analytical method is presented for predicting the effect of a local deviation in the form of a concentrated mass along a radial line on the free bending vibration characteristics of a nearly axisymmetric circular plate. The approach is based on the Rayleigh-Ritz method and the expression of local deviation of the concentrated radial mass as the variation of heaviside unit step function. The effects of the concentrated mass on the natural frequencies and mode shapes of the plate are predicted with a proposed nondimensional mass parameter.

Aerodynamic coefficients of inclined and yawed circular cylinders with different surface configurations

  • Lin, Siyuan;Li, Mingshui;Liao, Haili
    • Wind and Structures
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    • v.25 no.5
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    • pp.475-492
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    • 2017
  • Inclined and yawed circular cylinder is an essential element in the widespread range of structures. As one of the applications, cables on bridges were reported to have the possibility of suffering a kind of large amplitude vibration called dry galloping. In order to have a detailed understanding of the aerodynamics related to dry galloping, this study carried out a set of wind tunnel tests for the inclined and yawed circular cylinders. The aerodynamic coefficients of circular cylinders with three surface configurations, including smooth, dimpled pattern and helical fillet are tested using the force balance under a wide range of inclination and yaw angles in the wind tunnel. The Reynolds number ranges from $2{\times}10^5$ to $7{\times}10^5$ during the test. The influence of turbulence intensity on the drag and lift coefficients is corrected. The effects of inclination angle yaw angle and surface configurations on the aerodynamic coefficients are discussed. Adopting the existed the quasi-steady model, the nondimensional aerodynamic damping parameters for the cylinders with three kinds of surface configurations are evaluated. It is found that surface with helical fillet or dimpled pattern have the potential to suppress the dry galloping, while the latter one is more effective.

The effect of wall heat conduction on local convection heat transfer from a cylinder in cross flow of air (원형 실린더 주위의 공기로 국소 대류 열전달에 대한 열전도의 영향)

  • 이승홍;이억수
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.10 no.4
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    • pp.440-448
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    • 1998
  • This paper considers the influence of circumferential wall heat conduction for the case of forced convection around a circular cylinder in cross flow of air. Keeping uniform heat generation from the inner surface of the cylinder in radial direction, heat is transferred by wall conduction in the circumferential direction due to the asymmetric nature of the temperature distribution of the cylinder and by convection around the perimeter of the cylinder. The wall conduction depends on conductivity of the cylinder and size of the cylinder radius and thickness and affects the local convective heat transfer rate significantly for geometrically similar surfaces and flow conditions. A nondimensional conjugation parameter K. (=k$_t$R/k$_w$b) has been used to characterize the effect of the circumferntial wall heat conduction. The small values of conjugation parameter K are found to be associated with large effect of wall conduction on the local convective heat transfer rate.

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Snap-through buckling of single-layer squarely-reticulated shallow spherical shells continuously supported on springs

  • Nie, G.H.
    • Structural Engineering and Mechanics
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    • v.10 no.2
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    • pp.111-123
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    • 2000
  • An asymptotic solution for snap-through buckling of single-layer squarely-reticulated shallow spherical shells continuously supported on springs is developed in this paper. Based on the fundamental governing equations and boundary conditions, a nondimensional analytical expression associated with the external load, stiffness of spring and central transverse displacement (deflection) is derived with the aid of asymptotic iteration method. The effects of stiffness of spring and characteristic geometrical parameter on buckling of the structures are given by the analyses of numerical examples. In a special case, for reticulated circular plates, the influence of stiffness of spring on the characteristic relation between load and deflection is also demonstrated.

On the dynamics of rotating, tapered, visco-elastic beams with a heavy tip mass

  • Zeren, Serkan;Gurgoze, Metin
    • Structural Engineering and Mechanics
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    • v.45 no.1
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    • pp.69-93
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    • 2013
  • The present study deals with the dynamics of the flapwise (out-of-plane) vibrations of a rotating, internally damped (Kelvin-Voigt model) tapered Bernoulli-Euler beam carrying a heavy tip mass. The centroid of the tip mass is offset from the free end of the beam and is located along its extended axis. The equation of motion and the corresponding boundary conditions are derived via the Hamilton's Principle, leading to a differential eigenvalue problem. Afterwards, this eigenvalue problem is solved by using Frobenius Method of solution in power series. The resulting characteristic equation is then solved numerically. The numerical results are tabulated for a variety of nondimensional rotational speed, tip mass, tip mass offset, mass moment of inertia, internal damping parameter, hub radius and taper ratio. These are compared with the results of a conventional finite element modeling as well, and excellent agreement is obtained.

Fractional magneto-thermoelastic materials with phase-lag Green-Naghdi theories

  • Ezzat, M.A.;El-Bary, A.A.
    • Steel and Composite Structures
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    • v.24 no.3
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    • pp.297-307
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    • 2017
  • A unified mathematical model of phase-lag Green-Naghdi magneto-thermoelasticty theories based on fractional derivative heat transfer for perfectly conducting media in the presence of a constant magnetic field is given. The GN theories as well as the theories of coupled and of generalized magneto-thermoelasticity with thermal relaxation follow as limit cases. The resulting nondimensional coupled equations together with the Laplace transforms techniques are applied to a half space, which is assumed to be traction free and subjected to a thermal shock that is a function of time. The inverse transforms are obtained by using a numerical method based on Fourier expansion techniques. The predictions of the theory are discussed and compared with those for the generalized theory of magneto-thermoelasticity with one relaxation time. The effects of Alfven velocity and the fractional order parameter on copper-like material are discussed in different types of GN theories.