• Title/Summary/Keyword: resonance frequencies

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Determination of Elastic Modulus by Time Average ESPI and Euler-Bernoulli Equation (Time Average ESPI와 Euler-Bernoulli 방정식에 의한 탄성계수 측정)

  • Kim, Koung-Suk;Lee, Hang-Seo;Kang, Young-June;Kang, Ki-Soo
    • Journal of the Korean Society for Precision Engineering
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    • v.24 no.7 s.196
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    • pp.69-74
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    • 2007
  • The paper proposes a new sonic resonance test for a elastic modulus measurement which is based on time-average electronic speckle pattern interferometry(TA-ESPI) and Euler-Bernoulli equation. Previous measurement technique of elastic constant has the limitation of application for thin film or polymer material because contact to specimen affects the result. TA-ESPI has been developed as a non-contact optical measurement technique which can visualize resonance vibration mode shapes with whole-field. The maximum vibration amplitude at each vibration mode shape is a clue to find the resonance frequencies. The dynamic elastic constant of test material can be easily estimated from Euler-Bernoulli equation using the measured resonance frequencies. The proposed technique is able to give high accurate elastic modulus of materials through a simple experiment set up and analysis.

Resonance Characteristics for 2-Dimensional Circular Wind Tunnel (2차원 원형 풍동의 공진 특성)

  • Baik, Ki-Young;Lee, In
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.5
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    • pp.1087-1095
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    • 1990
  • A finite element method is used for analyzing the resonance characteristics of circular wind tunnel. Two-dimensional circular wind tunnel with one and three slots is considered. The wind tunnel resonance characteristics are affected by the number and position of the slots of the wind tunnel. The resonant frequencies for the vertical vibration mode are higher than those for the horizontal vibration mode. The resonance frequencies increase as the open area ratio increases.

Electrical properties of a composite piezoelectric transducer (복합 압전 트랜스듀서의 전기적 특성)

  • 안형근;한득영
    • Electrical & Electronic Materials
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    • v.9 no.1
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    • pp.24-29
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    • 1996
  • A composite piezoelectric ceramic transducer is fabricated with three piezoelectric ceramic disk vibrators and two sheets of thin insulator. Its equivalent circuit is derived from the Mason's model of a thickness-driven piezoelectric vibrator. When the electric input near its fundamental resonance frequency is applied to the center vibrator and the output voltages across the left and the right vibrators are connected in series to the resistor loads, the load characteristics at resonance frequencies under the various resistor loads and the frequency characteristics near the resonance frequency without load are investigated. Furthermore, symbolic expressions for input impedances, voltage ratios, resonance frequencies, and bandwidths are derived. The data calculated from those symbolic expressions are agreed well with the measurement data.

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Analysis of Forced Resonance Characteristics of Electrically Small Dipole Antennas and Its Application to Measurements of Unknown Frequency (전기적 소형다이폴 안테나의 강제 공진특성 해석과 주파수 측정에의 응용 가능성 연구)

  • Ki-Chai Kim
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.8 no.3
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    • pp.264-272
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    • 1997
  • This paper presents the analysis of forced resonance characteristics of electrically small dipole antenna loaded with external element and its application to measuring unknown frequencies. The method of moments with Galerkin's procedure is used to determine the current distribution of the antenna. To derive the determinantal equation of resonance lengths at a given frequency, small antennas with the reactance loaded can be treated as a two-port network. Numerical results show that the forced resonance of the electrically small dipole antenna loaded with reactance can be easily obtained by controlling the reactance for the series resonance as well as for the parallel resonance. It is demonstrated that the forced resonance characteristics can also be applied to the measurement of unknown frequencies.

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Vibration of nonlocal perforated nanobeams with general boundary conditions

  • Eltaher, Mohamed A.;Mohamed, Norhan A.
    • Smart Structures and Systems
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    • v.25 no.4
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    • pp.501-514
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    • 2020
  • This article presents a comprehensive model to investigate a free vibration and resonance frequencies of nanostructure perforated beam element as nano-resonator. Nano-scale size dependency of regular square perforated beam is considered by using nonlocal differential form of Eringen constitutive equation. Equivalent mass, inertia, bending and shear rigidities of perforated beam structure are developed. Kinematic displacement assumptions of both Timoshenko and Euler-Bernoulli are assumed to consider thick and thin beams, respectively. So, this model considers the effect of shear on natural frequencies of perforated nanobeams. Equations of motion for local and nonlocal elastic beam are derived. After that, analytical solutions of frequency equations are deduced as function of nonlocal and perforation parameters. The proposed model is validated and verified with previous works. Parametric studies are performed to illustrate the influence of a long-range atomic interaction, hole perforation size, number of rows of holes and boundary conditions on fundamental frequencies of perforated nanobeams. The proposed model is supportive in designing and production of nanobeam resonator used in nanoelectromechanical systems NEMS.

Electrical Properties of a Laminated Piezoelectric Transformer with the Divided Electrodes (전극 분할 적층형 압전변압기의 전기적 특성)

  • Lee, Yong-Kuk;Lee, Sang-Cheal;Hur, Doo-Oh;Han, Deuk-Young
    • Proceedings of the KIEE Conference
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    • 1995.07c
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    • pp.1140-1142
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    • 1995
  • The transformer is fabricated with two piezoelectric vibrator with the divided electrodes and adhesive insulator. We applied the electric input to the driving vibrator in parallel and connect the output voltage to the generating vibrator in series to the resistor load near its fundamental resonance frequency. Then we investigate output voltage in series twice as large as in parallal. Moreover we investigate the load characteristics at resonance frequencies under various resistor and the frequency characteristics near the resonance frequency under no load. Its equvalent circuit is derived from the Mason's model of a thickness-driven piezelectric vibrator. By its equevalent circuit, symbolic expressions for input impedances, voltage ratios, resonance frequencies, and bandwidths have been derived. The values calculated from those symbolic exprssions are shown to agree well with the measurement values.

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Resonant response of spar-type floating platform in coupled heave and pitch motion

  • Choi, E.Y.;Cho, J.R.;Jeong, W.B.
    • Structural Engineering and Mechanics
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    • v.65 no.5
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    • pp.513-521
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    • 2018
  • In this paper, the resonance response of spar-type floating platform in coupled heave and pitch motion is investigated using a CPU time-effective numerical method. A coupled nonlinear 2-DOF equation of motion is derived based on the potential wave theory and the rigid-body hydrodynamics. The transient responses are solved by the fourth-order Runge-Kutta (RK4) method and transformed to the frequency responses by the digital Fourier transform (DFT), and the first-order approximation of heave response is analytically derived. Through the numerical experiments, the theoretical derivation and the numerical formulation are verified from the comparison with the commercial software AQWA. And, the frequencies of resonance arising from the nonlinear coupling between heave and pitch motions are investigated and justified from the comparison with the analytically derived first-order approximation of heave response.

Nonlinear Oscillation Characteristics in Combination Resonance Region Considering Damping Effects (조합공진 영역에서 감쇠의 영향을 고려한 비선형 진동 응답 특성)

  • Jeong, Tae-Gun
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.20 no.9
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    • pp.849-855
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    • 2010
  • Damping may change the response characteristics of nonlinear oscillations due to the parametric excitation of a thin cantilever beam. When the natural frequencies of the first bending and torsional modes are of the same order of magnitude, we can observe the one-to-one combination resonance in the perturbation analysis depending on the characteristic parameters. The nonlinear behavior about the combination resonance reveals a chaotic motion depending on the natural frequencies and damping ratio. We can analyze the chaotic dynamics by using the eigenvalue analysis of the perturbed components. In this paper, we derived the equations for autonomous system and solved them to obtain the characteristic equation. The stability analysis was carried out by examining the eigenvalues. Numerical integration gave the physical behavior of each mode for given parameters.

A study of the optimum draft of multiple resonance power buoys for maximizing electric power production

  • Kweon, Hyuck-Min;Cho, Hong-Yeon;Cho, II-Hyoung
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.6 no.4
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    • pp.813-825
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    • 2014
  • To maximize electric power production using wave energy extractions from resonance power buoys, the maximum motion displacement spectra of the buoys can primarily be obtained under a given wave condition. In this study, wave spectra observed in shoaling water were formulated. Target resonance frequencies were established from the arithmetic means of modal frequency bands and the peak frequencies. The motion characteristics of the circular cylindrical power buoys with corresponding drafts were then calculated using numerical models without considering PTO damping force. Results showed that the heave motions of the power buoys in shoaling waters with insufficient drafts produced greater amplification effects than those in deep seas with sufficient drafts.

Diction Problem of Student Singers Based on the Vocal Tract Resonance (성도 공명을 중심으로 한 성악 전공 대학생의 발음법 연구)

  • Kim, Sun-Suk
    • Speech Sciences
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    • v.7 no.4
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    • pp.59-72
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    • 2000
  • Vocal tract resonances are of paramount importance to voice sounds. Resonance frequencies determine vowel quality and the personal voice timber. The aim of this study was to make an effective diction program according to tuning formant frequencies by adjusting the vocal tract shape in professional voice users. Twelve male student singers and eleven female student singers participated in this study. The subjects repeated five simple vowels /a, e, i, o, u/ in normal speech and singing. The spoken vowels and sung vowels were measured by formant frequencies and the singer's formant frequencies using CSL and DSP Sona-Graph. Separately, Plot formants program was used to draw the vowel chart. The results were as follows. (1) Total formant frequencies of female singers were 11% higher than those of males singers in singing. (2) The F1 and F3 of sung vowels increased compared to F1 and F3 spoken vowels. However, The F2 of sung vowels decreased in comparison with F2 of spoken vowels. (3) Posterior vowel /u/ were moved anteriorly. This phenomenon seemed to be due to head voice singing training. (4) Singer's formant frequencies in student singers appeared according to the part: 2560 Hz for baritone, 2760 Hz for Tenor, 2821 Hz for Mezzo soprano and 3420 Hz for soprano.

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