• 제목/요약/키워드: fundamental frequencies

검색결과 407건 처리시간 0.033초

Estimation of Beam Mode Frequencies of Co-axial Cylinders Immersed in Fluid by Equivalent Mass Approach

  • Kim, Tae-Wan;Park, Suhn;Park, Keun-Bae
    • Nuclear Engineering and Technology
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    • 제35권1호
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    • pp.1-13
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    • 2003
  • In this study, an effective method to estimate the fundamental frequencies of co-axial cylinders immersed in fluid is proposed. The proposed method makes use of the equivalent mass or density that is derived from the added mass matrix caused by the fluid-structure interaction (FSI) phenomenon. The equivalent mass is defined from the added mass matrix based on a 2-D potential flow theory. The theory on two co-axial cylinders extended to the case of three cylinders. To prove the validity of the proposed method, the eigenvalue analyses upon coaxial cylinders coupled with fluid gaps are peformed using the equivalent mass. The analyses results upon various fluid gap is conditions reveal that the present method could provide accurate frequencies and be suitable for expecting the fundamental frequencies of fluid coupled cylinders in beam mode vibration.

가야금 안족의 위치에 따른 개선된 주파수 모델링 (An Improved Frequency Modeling Corresponding to the Location of the Anjok of the Gayageum)

  • 권순덕;조상진
    • 한국음향학회지
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    • 제33권2호
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    • pp.146-151
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    • 2014
  • 본 논문은 기존의 가야금 안족 모델을 분석하고 안족의 위치에 따른 주파수 모델링을 개선하기 위한 방법에 대해서 기술한다. 기존의 모델은 안족의 위치별 기본 주파수의 변화를 지수 함수로 가정, 리키 적분기를 이용하여 이들 주파수를 적분한 후 선형 회귀 모델을 이용하여 주파수와 안족의 위치에 관한 수식의 파라미터를 구하였다. 이 모델은 평균적으로 2.5 Hz의 오차를 보였으나 낮은 주파수에 대해서는 최대 7.75 Hz의 오차를 보였다. 이에 제안하는 모델은 안족의 위치를 세부 구간으로 나누고 각 구간 내 누적 주파수에 대한 선형 회귀 모델을 적용하였고, 리키 적분기의 계수를 바꿔가며 안족 위치의 세부 구간 내 각 현의 기본 주파수와 계산된 주파수간 RMSE(Root Mean Square Error)가 최소가 되는 계수를 찾음으로써 최적의 파라미터를 구하였다. 이러한 과정을 통해 얻어진 모델은 기존의 오차를 최대 3배가량 줄일 수 있었다.

Analytical and experimental study on natural sloshing frequencies in annular cylindrical tank with a bottom gap

  • Lee, H.W.;Jeon, S.H.;Cho, J.R.;Seo, M.W.;Jeon, W.B.
    • Structural Engineering and Mechanics
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    • 제57권5호
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    • pp.877-895
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    • 2016
  • This paper is concerned with the analytical derivation of natural sloshing frequencies of liquid in annular cylindrical tank and its verification by experiment. The whole liquid domain is divided into three simple sub-regions, and the region-wise linearized velocity potentials are derived by the separation of variables. Two sets of matrix equations for solving the natural sloshing frequencies are derived by enforcing the boundary conditions and the continuity conditions at the interfaces between sub-regions. In addition, the natural sloshing frequencies are measured by experiment and the numerical accuracy of the proposed analytical method is verified through the comparison between the analytical and experimental results. It is confirmed that the present analytical method provides the fundamental sloshing frequencies which are in an excellent agreement with the experiment. As well, the effects of the tank radial gap, the bottom flow gap and the liquid fill height on the fundamental sloshing frequency are parametrically investigated.

Effects of solar variations on standing Alfven waves in the dayside magnetosphere: Polar observations

  • Kim, Khan-Hyuk;Takahashi, Kazue
    • 한국우주과학회:학술대회논문집(한국우주과학회보)
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    • 한국우주과학회 2008년도 한국우주과학회보 제17권2호
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    • pp.23.4-23.4
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    • 2008
  • In March and April 2001, the apogee (~9 Re) of the Polar spacecraft was located near the subsolar magnetopause with its orbital plane nearly parallel to a magnetic meridian plane. Polar electric and magnetic field data acquired during the two-month interval of solar maximum have been used to study fundamental standing Alfven waves near the subsolar meridian plane (magnetic local time = 1000-1400 hours) at magnetic latitudes from the equator to $\pm45$ degrees and at L values between 7 and 12. In the frequency band from 1.5 to 10 mHz, fundamental mode oscillations were identified based on high coherence (more than 0.7) and an approximately 90-degree phase shift between the azimuthal magnetic and radial electric field components. The L dependence of the fundamental frequencies is studied, and the frequencies are compared with those observed near the solar minimum interval (Takahashi et al. 2001). We found that the average frequencies in solar maximum are lower than those in solar minimum by a factor of ~2. This implies that the mass density in solar maximum is higher than that in solar minimum by a factor of ~4. Since there is a positive correlation between solar irradiance and solar activity, we suggest that the ionosphere in solar maximum produces more ions and load magnetic flux tubes with more ions.

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편경 제작용 경석 표본의 역학적 물성 측정 (Measurement of Mechanical Properties of Pyeongyeong Chime Stone)

  • 박상하;노정욱;성굉모
    • 한국음향학회지
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    • 제27권4호
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    • pp.171-177
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    • 2008
  • 본 논문에서는 편경 제작에 사용되는 경석 표본의 기본적인 역학적 물성을 측정하였다. 물성값들은 돌을 파괴하지 않고 음파를 이용하여 측정되었고, 측정한 물성값들은 경석 표본의 밀도 및 준종파 (extensional wave)와 굽힘파 (bending wave)의 고유 진동 주파수, 그리고 이를 통하여 구한 영률 (Young's modulus)이다. 영률을 구하기 위하여 준종파와 굽힘파의 주파수 스펙트럼 분석을 통해 얻은 첫 번째 고유 진동 주파수 값을 이용하였고, 보의 준종파와 굽힘파에 대한 이론적 고찰과 실험으로 경석 표본의 영률을 구하였다. 그 결과, 준종파와 굽힘파의 고유 진동 주파수로 2%의 이내의 편차를 갖는 경석 표본의 영률을 구하였다.

Effect of power law index for vibration of armchair and zigzag single walled carbon nanotubes

  • Khadimallah, Mohamed Amine;Hussain, Muzamal
    • Steel and Composite Structures
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    • 제37권5호
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    • pp.621-632
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    • 2020
  • This research deals with the study of vibrational behavior of armchair and zigzag single-walled carbon nanotubes invoking extended Love shell theory. The effects of different physical and material parameters on the fundamental frequencies are investigated. By using volume fraction for power law index, the fundamental natural frequency spectra for two forms of single-walled carbon nanotubes are calculated. The influence of frequencies against length-to-diameter ratios with varying power law index are investigated in detail for these tubes. To discretize the governing equation in eigen-value form, wave propagation approach is developed. Complex exponential functions have been used and the axial model depends on boundary condition that has been described at the edges of carbon nanotubes to calculate the axial modal dependence. Computer software MATLAB is utilized for the frequencies of single-walled carbon nanotubes and current results shows a good stability with comparison of other studies.

Damage detection based on MCSS and PSO using modal data

  • Kaveh, Ali;Maniat, Mohsen
    • Smart Structures and Systems
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    • 제15권5호
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    • pp.1253-1270
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    • 2015
  • In this paper Magnetic Charged System Search (MCSS) and Particle Swarm Optimization (PSO) are applied to the problem of damage detection using frequencies and mode shapes of the structures. The objective is to identify the location and extent of multi-damage in structures. Both natural frequencies and mode shapes are used to form the required objective function. To moderate the effect of noise on measured data, a penalty approach is applied. A variety of numerical examples including two beams and two trusses are considered. A comparison between the PSO and MCSS is conducted to show the efficiency of the MCSS in finding the global optimum. The results show that the present methodology can reliably identify damage scenarios using noisy measurements and incomplete data.

케이블구조물의 고유진동수 추정을 위한 근사식 (A Simple Technique to Predict the Natural Frequencies of the Sagged Cable Structures)

  • 이상무;김용철
    • 대한조선학회지
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    • 제23권3호
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    • pp.10-16
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    • 1986
  • This paper deals with a simple, approximate formula to predict the natural frequencies of the sagged cable structures. Assuming that the propagation velocity of the lateral wave is dependent only on the local mass per unit length and local tension, the explicit simple formula to predict the fundamental period is newly derived. The modified form of these formula is also presented for the prediction of the fundamental period of general shaped cable structures. The results of comparison shows fairly good agreements with experimental results and with theoretical ones. This formula is also used to predict the natural frequencies of a long vertical cable and the derived approximate formula in that case, becomes identical to the exact solution.

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Electrochemical Frequency Modulation: Solution Resistance and Double Layer Capacitance Considerations

  • Lalvani, Shashi;Ullah, Sifat;Kerr, Lei
    • Corrosion Science and Technology
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    • 제20권5호
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    • pp.231-241
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    • 2021
  • The objective of this study was to evaluate total current under steady-state conditions for a material undergoing corrosion using the electrochemical frequency modulation (EFM) technique, taking into account the presence of solution resistance and double layer capacitance. The analysis involving linearization of the Tafel curve allowed for the estimation of corrosion parameters. Results showed that the output signal was dependent on fundamental frequencies and their multiples. In addition, the output signal almost manifested itself at frequencies that were sums of fundamental frequencies of the applied sinusoidal signal. The harmonics calculated showed a significant shift from the principal frequency of input signals. The investigation involved the influence of corrosion current and anode-to-cathode Tafel slope ratio on faradaic and non-faradaic currents (including the average and RMS). The model presented showed both qualitative and quantitative improvements over the previously developed EFM technique that ignored the influence of solution resistance and the double layer capacitance while assuming the applied DC potential corresponded to the corrosion potential of the corroding material.

Size dependent dynamic bending nonlocal response of armchair and chiral SWCNTs based on Flügge model

  • Hussain, Muzamal
    • Advances in concrete construction
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    • 제13권6호
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    • pp.451-459
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    • 2022
  • In present study, the nonlocal Flügge shell model based is utilized to investigate the vibration characteristics of armchair and chiral single-walled carbon nanotubes with impact of small-scale effect subjected to two boundary supports. The wave propagation approach is employed to determine eigen frequencies for armchair and chiral tubes. The fundamental frequencies scrutinized with assorted aspect ratios by varying the bending rigidity. The raised in value of nonlocal parameter reduces the corresponding fundamental frequency. It is investigated with higher aspect ratio, the boundary conditions have a momentous influence on vibration of CNT. It is concluded that frequencies would increase by increasing of the bending rigidity. Solutions of the frequency equation have determined by writing in MATLAB coding.