• Title/Summary/Keyword: Frequency equation

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Determination of electron energy distribution functions in radio-frequency (RF) and microwave discharges (RF/마이크로웨이브 방전에서의 전자에너지 분포함수의 결정)

  • 고욱희;박인호;김남춘
    • Journal of the Korean Vacuum Society
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    • v.10 no.4
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    • pp.424-430
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    • 2001
  • An electron Boltzmann equation is solved numerically to calculate the electron energy distribution functions in plasma discharge which is generated by radio-frequency (RF) and microwave frequency electric field. The maintenance field strengths are determined self-consistently by solving the homogeneous electron Boltzmann equation in the Lorentz approximation expressed by 2nd order differential equation and an additional particle balance equation expressed by integro-differential equation. By using this numerical code, the electron energy distribution functions in argon discharge are calculated in the range from RF to microwave frequency. The influence of frequency of the HF electric field on the electron energy distribution functions and ionization rate are investigated.

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A Study on Adjustment of Prediction Equation for Natural Frequency Using the Simplification of Section Transformation Method of Composite Deck Plate Floor Systems (합성 데크 플레이트 바닥구조의 단면환산 단순화를 통한 고유진동수 예측식의 보정에 관한 연구)

  • 임지훈;김희철;홍원기
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.11b
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    • pp.731-738
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    • 2001
  • The conventional techniques for the prediction of natural frequency are often used to estimate the floor vibration. However. the predicted frequency differs significantly from the measured one since the predicted equation is not able to proper1y treat various material type. Transformation of slab section is necessary to predict natural frequency of composite deck plate, and this effort is complicated due to the various shape of each deck plate. In this study, a new simplified methodology to transform slab section is proposed, which treats effective depth as the distance from the top of a concrete topping to neutral axis of each deck plate. Finally proposed equation with fairly reasonable result compared to the measured values is obtained. based on the modification of vibration equation from LRFD theory. This efforts enhance errors in predicting frequency up to 15%.

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Frequency Domain Analysis of Laser and Acoustic Pressure Parameters in Photoacoustic Wave Equation for Acoustic Pressure Sensor Designs

  • Tabaru, Timucin Emre;Hayber, Sekip Esat;Saracoglu, Omer Galip
    • Current Optics and Photonics
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    • v.2 no.3
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    • pp.250-260
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    • 2018
  • A pressure wave created by the photoacoustic effect is affected by the medium and by laser parameters. The effect of these parameters on the generated pressure wave can be seen by solving the photoacoustic wave equation. These solutions which are examined in the time domain and the frequency domain should be considered by researchers in acoustic sensor design. In particular, frequency domain analysis contains significant information for designing the sensor. The most important part of this information is the determination of the operating frequency of the sensor. In this work, the laser parameters to excite the medium, and the acoustic signal parameters created by the medium are analyzed. For the first time, we have obtained solutions for situations which have no frequency domain solutions in the literature. The main focal point in this work is that the frequency domain solutions of the acoustic wave equation are performed and the effects of the frequency analysis of the related parameters are shown comparatively from the viewpoint of using them in acoustic sensor designs.

Design of a Helmholtz Resonator for Noise Reduction in a Duct Considering Geometry Information: Additional Relationship Equation and Experiment (형상 정보를 고려한 덕트 소음 저감용 헬름홀츠 공명기 설계: 추가 관계식과 실험)

  • Ryu, Hokyung;Chung, Seong Jin;Lee, Jin Woo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.38 no.4
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    • pp.459-468
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    • 2014
  • An additional relationship equation is numerically obtained to increase the accuracy of the conventional equation for obtaining the resonant frequency of a resonator. Although the conventional equation is widely used in industry because of its simplicity, it does not provide enough information on the cavity or the neck of the resonator for noise reduction in a duct. Resonator designers have difficulty implementing resonator design owing to the uncertainty in geometry presented by the well-known formula for determining the resonant frequency. To overcome this problem, this work determines an approximate equation using results of numerical calculation. To this end, shape parameters of the neck and cavity of a resonator are defined, and an equation describing the relationship between them is derived by adjusting the peak frequency in the transmission loss curve of a resonator to its resonant frequency. The application and validity of the derived equation are investigated in a numerical simulation and an acoustic experiment, respectively.

Free vibration analysis of clamped free circular cylindrical shells (일단고정-일단자유 원통 셸의 진동 해석)

  • 임정식
    • Journal of KSNVE
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    • v.6 no.1
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    • pp.45-56
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    • 1996
  • Frequency equation for clamped-free circular cylindrical thin shell is derived by the application of Rayleigh-Ritz method using the Sanders shell equation. The cubic frequency equation is solved for each axial and circumferential mode number. Integration of the beam characteristic funcitions was performed via Mathematica which results in more accurate integration of the beam functions that affect the accuracy of the frequency. The natural frequencies from this calculation are compared with existing results. It shows that this calculation predicts natural frequencies closer to the test results than existing results.

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우리나라 동남부 일강수량의 도수분포곡선

  • 김석중
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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    • 2003.04a
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    • pp.207-210
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    • 2003
  • In this research analyzed the daily precipitation depths of 4 climatic stations in south eastern part of Korea. It aimed to present some indices for regionalization of the area. The items are frequency distributions of precipitation quantity and days and the longest days less than class limit set up by arithmetic differences. The regression analysis between class value and frequency show very good correlation coefficients better than 0.99 which are cubic equation for the precipitation, exponential equation for the precipitation days, and first degree equation for the longest day less than class limit.

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Analysis of Frequency Modulation System by Analog Computer Techniques (상사형전자계산기에 의한 주파수변조계통의 해석)

  • 한만춘;변모서
    • 전기의세계
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    • v.16 no.1
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    • pp.14-18
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    • 1967
  • To analyze th frequency modulation system the characteristic equation of the F-M system, i.e., Mathieu's equation, is derived from the equivalent circuits of direct modulation system. The analysis of F-M equation is undertaken by the Yonsei 101 Analog Computer. And the computer solution is compared with the theoretical solution. It is concluded that not only the frequency but also the amplitude of the carrier wave are changed by varying the modulation index and the system becomes unstable if the modulation index is increased near to unity.

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A Study on the Presure Resonance with Combustion Chamber Geometry for a Spark Ignition Engine (스파크 점화기관의 연소실 형상에 따른 공진현상 해석에 관한 연구)

  • Park, Kyoung-Suk;Jang, Seok-Hyung
    • Proceedings of the KSME Conference
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    • 2001.06d
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    • pp.890-895
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    • 2001
  • Pressure resonance frequency that is caused in the combustion chamber can be interpreted to acoustic analysis. Until now the pressure resonance has been assumed and calculated to a disc type combustion chamber that neglected the combustion chamber height because the knock occurs near the TDC(top dead center). In this research FEM(fine element method) has been used to calculate the pressure resonance frequency inside the experimental engine combustion. The reduce error of the resonance frequency obtained by FEM has decreased about 50% compared to the calculation of Draper's equation. Due to the asymmetry in the shape of the combustion chamber that was neglected in Draper's equation we could find out that a new resonance frequency could be generated. To make the experimental results equal we could know that the speed of sound that satisfies Draper's equation was selected 13% higher than all the pent-roof type combustion considered.

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A Study on the relationship between natural frequency and span of Spatial Structure (대공간 구조물의 고유진동수와 스팬의 상관관계)

  • Yoon, Sung-Won;Park, Yong
    • Proceeding of KASS Symposium
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    • 2008.05a
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    • pp.155-158
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    • 2008
  • As the span of spatial structure is getting longer, the law frequency of the structure makes the wind-induced response much increased. However, there are lots of hardships to establish the economical structural systems due to the fact that an relative equation between the frequency and the span of the domestic spatial structures is not existed in the stage of the basic planning design. Therefore, among the large-span structures, this paper focused on the relationship between the frequency and the span of the world-cup stadium built in 2000s. The relative equation between the frequency and span is compared with the data measured in Japan. Moreover, we are willing to provide the basic study by suggesting the summary equation in this paper.

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Frequency Response Characteristics of Air-Cooled Condenser in Case of Inputting Various Disturbances

  • Kim, Jae-Dol;Oh, Hoo-Kyu;Yoon, Jung-In
    • International Journal of Air-Conditioning and Refrigeration
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    • v.8 no.1
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    • pp.14-28
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    • 2000
  • The frequency response characteristics of a condenser were numerically studied for the control of refrigeration and air conditioning systems. The important parameters, such as the refrigerant flow rate, refrigerant temperature, air velocity, and air temperature at the condenser inlet, were analyzed. Superheated vapor, two phase, and subcooled liquid domain in condenser can be described by using the energy balance equation and the mass balance equation in refrigerant and tube wall, the basic equation for describing the dynamic characteristics of condenser can be derived. The transfer function for describing dynamic response of the condenser to disturbances can be obtained from using linearizations and Laplace transformations of the equation. From this transfer function, analytical investigation which affects the frequency responses of condenser has been made. Block diagrams were made based on the analytic transfer function; dynamic responses were evaluated in Bode diagrams on the frequency response. Through this study, it became possible that the information about the dynamic characteristics of air-cooled condenser is offered. The results may be used for determining the optimum design parameters in actual components and entire systems. Also, the mathematical models, frequency response may be used to help understanding, evaluate optimum design parameters, design control systems and determine on setting the best controller for the refrigeration and air-conditioning systems.

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