• Title/Summary/Keyword: Forced condition

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Oscillation of Second-Order Nonlinear Forced Functional Dynamic Equations with Damping Term on Time Scales

  • Agwa, Hassan Ahmed;Khodier, Ahmed Mahmoud;Ahmed, Heba Mostaafa Atteya
    • Kyungpook Mathematical Journal
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    • v.56 no.3
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    • pp.777-789
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    • 2016
  • In this paper, we establish some new oscillation criteria for the second-order forced nonlinear functional dynamic equations with damping term $$(r(t)x^{\Delta}(t))^{\Delta}+q({\sigma}(t))x^{\Delta}(t)+p(t)f(x({\tau}(t)))=e(t)$$, and $$(r(t)x^{\Delta}(t))^{\Delta}+q(t)x^{\Delta}(t)+p(t)f(x({\sigma}(t)))=e(t)$$, on a time scale ${\mathbb{T}}$, where r(t), p(t) and q(t) are real-valued right-dense continuous (rd-continuous) functions [1] defined on ${\mathbb{T}}$ with p(t) < 0 and ${\tau}:{\mathbb{T}}{\rightarrow}{\mathbb{T}}$ is a strictly increasing differentiable function and ${\lim}_{t{\rightarrow}{\infty}}{\tau}(t)={\infty}$. No restriction is imposed on the forcing term e(t) to satisfy Kartsatos condition. Our results generalize and extend some pervious results [5, 8, 10, 11, 12] and can be applied to some oscillation problems that not discussed before. Finally, we give some examples to illustrate our main results.

Analysis of porous micro sandwich plate: Free and forced vibration under magneto-electro-elastic loadings

  • Mohammadimehr, Mehdi;Meskini, Mohammad
    • Advances in nano research
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    • v.8 no.1
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    • pp.69-82
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    • 2020
  • In this study, the free and forced vibration analysis of micro sandwich plate with porous core layer and magneto-electric face sheets based on modified couple stress theory and first order shear deformation theory under simply supported boundary conditions is illustrated. It is noted that the core layer is composed from balsa wood and also piezo magneto-electric facesheets are made of BiTiO3-CoFe2O4. Using Hamilton's principle, the equations of motion for micro sandwich plate are obtained. Also, the Navier's method for simply support boundary condition is used to solve these equations. The effects of applied voltage, magnetic field, length to width ratio, thickness of porous to micro plate thickness ratio, type of porous, coefficient of porous on the frequency ratio are investigated. The numerical results indicate that with increasing of the porous coefficient, the non-dimensional frequency increases. Also, with an increase in the electric potential, the non-dimensional frequency decreases, while and with increasing of the magnetic potential is vice versa.

A Study on Cooling Characteristics of the LED Lamp Heat Sink for Automobile by Forced Convection (강제대류에 의한 자동차용 램프 방열판의 냉각 특성에 LED 관한 연구)

  • Yang, Ho-Dong;Yoo, Jae-Young;Park, Seul-Hyun
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.17 no.6
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    • pp.117-123
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    • 2018
  • Automotive headlamps have been continuously developed as one of the most important devices for securing the driver's view, and the LED lamps are getting popular in recent years. However, in case of the LED lamps, because the heat generated by the LED lamps are too high, it shorten the product life and lower the LED efficiency. Therefore, this study was investigated the cooling characteristics of the LED lamp heat sink for automobile by forced convection for LED heat generation control. In order to analyze the cooling characteristics of the heat sink, the temperature distribution results were investigated through the experiment and computational analysis under the increase of the air flow velocity, and the convective heat transfer coefficient was obtained. Also, convective heat transfer coefficient was calculated by the theoretical formula under the same condition and compared with experimental and computational results. From the result of this study, as the air flow velocity around the heat sink fins increased, the convective heat transfer coefficient significantly increased, confirming the improvement in the cooling effect.

Forced vibrations of an elastic circular plate supported by unilateral edge lateral springs

  • Celep, Zekai;Gencoglu, Mustafa
    • Structural Engineering and Mechanics
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    • v.83 no.4
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    • pp.451-463
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    • 2022
  • The present study deals with forced vibrations of an elastic circular plate supported along its circular edge by unilateral elastic springs. The plate is assumed to be subjected to a uniformly distributed and a concentrated load. Under the combination of these loads, equations of motion are explicitly derived for static and dynamic response analyses by assuming a series of the displacement functions of time and other unknown parameters which are to be determined by employing Lagrangian functional. The approximate solution is sought by applying the Lagrange equations of motions by using the potential energy of the external forces that includes the contributions of the edge forces and the external moments, i.e., those of the effects of the boundary condition to the analysis. For the numerical treatment of the problem in the time domain, the linear acceleration procedure is adopted. The tensionless character of the support is taken into account by using an iterative process and, the coordinate functions for the displacement field are selected to partially fulfill the boundary conditions so that an acceptable approximation can be achieved faster. Numerical results are presented in the figures focusing on the nonlinearity of the problem due to the plate lift-off from the unilateral springs at the edge support.

An Immersed-Boundary Finite-Volume Method for Simulation of Heat Transfer in Complex Geometries

  • Kim, Jungwoo;Park, Haecheon
    • Journal of Mechanical Science and Technology
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    • v.18 no.6
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    • pp.1026-1035
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    • 2004
  • An immersed boundary method for solving the Navier-Stokes and thermal energy equations is developed to compute the heat transfer over or inside the complex geometries in the Cartesian or cylindrical coordinates by introducing the momentum forcing, mass source/sink, and heat source/sink. The present method is based on the finite volume approach on a staggered mesh together with a fractional step method. The method of applying the momentum forcing and mass source/sink to satisfy the no-slip condition on the body surface is explained in detail in Kim, Kim and Choi (2001, Journal of Computational Physics). In this paper, the heat source/sink is introduced on the body surface or inside the body to satisfy the iso-thermal or iso-heat-flux condition on the immersed boundary. The present method is applied to three different problems : forced convection around a circular cylinder, mixed convection around a pair of circular cylinders, and forced convection around a main cylinder with a secondary small cylinder. The results show good agreements with those obtained by previous experiments and numerical simulations, verifying the accuracy of the present method.

A Study on the Combustion Characteristic of the Methanol Fuel in a Turbulence Mixture (유동분위기에서 메탄올의 연소특성에 관한 연구)

  • 이중순;이태원;정성식;하종률
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.8
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    • pp.2022-2029
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    • 1995
  • The experiment was performed by using the condenser discharge ignition device in a constant volume combustion chamber for high pressure, equivalent to the TDC of spark ignition engine, which makes the forced turbulent field possible. The conclusions obtained under various initial pressures, initial temperatures, and turbulent conditions of the methanol-air mixture are as follows : As initial pressure, initial temperature of the mixture, and the ignition energy increase, the inflammability limit expands, but the lean inflammability limit decreases as turbulence intensity increases. Combustion duration is shorter in the case of the lower initial pressure, the higher initial temperature, an equivalence ratio of 1.1-1.2, and even though turbulence intensity increases up to optimum value. Maximum combustion pressure increases in turbulent ambience under the same mixture condition, only in the case each optimum turbulence intensity exists under every condition. As the turbulence intensity increases .tau.$_{10}$ proportion increases while the .tau.$_{pr}$ proportion decreases....

Analysis of Fuel Droplet Vaporization at High-Pressure Environment (고압상태에서의 연료액적의 증발특성 해석)

  • Lee, J.C.;Kim, Y.M.
    • Journal of ILASS-Korea
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    • v.1 no.1
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    • pp.35-43
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    • 1996
  • A vaporization model for single component fuel droplet has been developed for applying to sub- and supercritical conditions. This model can account for transient liquid heat ins and circulation effect inside the droplet, forced and natural convection, Stefan flow effect, real gas effect and ambient gas solubility into the liquid droplet in high-pressure conditions. Thermodynamic and transport properties are calculated as functions of temperature and pressure in both phases. Numerical calculations are carried out for several validation cases with the detailed experimental data. Numerical results confirm that this supercritical vaporization model is applicable to the high-pressure conditions encountered in the combustion processes of diesel engine.

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Solidification of the Aluminum with the Forced Liquid Convection (강제 대류하에서의 알루미늄 응고에 관한 연구)

  • Kim, Hyung-Kyoo;Hong, Kyung-Tae;Huh, Sung-Kang;Yoon, Woo-Young
    • Journal of Korea Foundry Society
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    • v.10 no.6
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    • pp.509-519
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    • 1990
  • A Solidification of the aluminum was studied under the condition of the forced liquid convection. The Al melt was stirred by a highly rotating carbon bar on whose surface the solidified Al was nucleated. The Al was refined by partial solidification and the solute distributions were rationalized through the estimation of the solidification rate which is based on the heat transfer calculation of the process. The microstructure-morphological change of the specimens was also showed.

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A Study of D.C. Series Motor Control Circuit by Pulsewidth Modulated Chopper (PWM Chopper에 의한 직류직권전동기의 제어회로에 관한 연구)

  • 임달호;장호성
    • 전기의세계
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    • v.26 no.3
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    • pp.76-83
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    • 1977
  • The choice of control method and circuit must be decided after a broad inspection with the characteristics of load and control elements as well as that of electric and mechanical nature. In the present study, Pulse width modulated(PWM) SCR chopper was chosen and for the electric commutation, Jones' forced method was taken bacause of its having enough reverse bias energy. Objectives of experimentation by this system are; 1) the condition of SCR as a gate trigger pulse. 2) the observation of phenomena at the time of forced commutation 3) the experimentation on characteristics of speed control by PWM chopper. Above experimentation shows good characteristics, however, in the limit of narrow gap between the ON and OFF pulses, a complete control was not possible. So, that must be the point to be studied further alone with the harmonics influence.

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Immuno-stimulating, Anti-stress and Anti-thrombotic Effects of Unossified Velvet Antlers

  • Shin, Kuk-Hyun;YunChoi, Hye-Sook;Lim, Soon-Sung;Won, Do-Hee;Kim, Jae-Kun
    • Natural Product Sciences
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    • v.5 no.1
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    • pp.54-59
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    • 1999
  • Both ethanol and water extracts of unossified velvet antler were found to exhibit a significant immuno-stimulating activity as measured by carbon clearance test in mice, a remarkable anti-fatigue effect in weight-loaded forced swimming performance in mice, a significant anti-stress effect on immobilization in rats. The antler extracts also showed a weak but significant anti-thrombotic activity. These findings are indicative of adaptogenic properties of antlers and their normalizing effects during stressful condition.

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