• 제목/요약/키워드: Sub-harmonic

검색결과 217건 처리시간 0.032초

Dynamic responses of a beam with breathing cracks by precise integration method

  • Cui, C.C.;He, X.S.;Lu, Z.R.;Chen, Y.M.;Liu, J.K.
    • Structural Engineering and Mechanics
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    • 제60권5호
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    • pp.891-902
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    • 2016
  • The beam structure with breathing cracks subjected to harmonic excitations was modeled by FEM based on Euler-Bernoulli theory, and a piecewise dynamical system was deduced. The precise integration method (PIM) was employed to propose an algorithm for analyzing the dynamic responses of the deduced system. This system was first divided into linear sub-systems, between which there are switching points resulted from the breathing cracks. The inhomogeneous terms due to the external excitations were tackled by introducing auxiliary variables to express the harmonic functions, hence the sub-systems are homogeneous. The PIM was then applied to solve the homogeneous sub-systems one by one. During the procedures, a predictor-corrector algorithm was presented to determine the switching points accurately. The presented method can provide solutions with an accuracy to a magnitude of $10^{-12}$ compared with exact solutions obtained by the theories of ordinary differential equations. The PIM results are much more accurate than Newmark ones with the same time step. Moreover, it is found that the PIM can maintain a high level of accuracy even when the time step increases within a relatively wide range.

UNSTEADY AERODYNAMIC ANALYSIS OF HELICOPTER ROTOR BLADES USING DIAGONAL IMPLICIT HARMONIC BALANCE METHOD (중첩 격자 기법이 적용된 대각 내재적 조화균형법을 이용한 헬리콥터 로터 블레이드의 비정상 공력 해석)

  • Im, D.K.;Choi, S.I.;Kim, E.;Kwon, J.H.;Park, S.H.
    • Journal of computational fluids engineering
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    • 제17권1호
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    • pp.70-77
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    • 2012
  • In this paper, diagonal implicit harmonic balance method with overset grid technique is applied to analyze helicopter rotor blade flow in hover and forward flight condition. The chimera grid need interpolation time with sub-grid and background grid in moving problem such as forward flight on every time step. Present method is available enough to reduce the grid module interpolation time. In order to demonstrate present method, Caradonna & Tung's and AH-1G rotor blades are used and the results are compared to other researchers' result and experimental data.

Theoretical Study on the Hydrogen-Bonding Effect of H2On-H2Om (n=1-4, m=1-4) Dimers (H2On-H2Om (n=1-4, m=1-4) 이중합체의 수소결합에 따른 구조적 특성 및 결합에너지에 관한 이론 연구)

  • Song, Hui-Seong;Seo, Hyun-Il;Shin, Chang-Ho;Kim, Seung-Joon
    • Journal of the Korean Chemical Society
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    • 제59권2호
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    • pp.117-124
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    • 2015
  • The DFT and ab initio calculations have been performed to elucidate hydrogen interaction of hydrogen polyoxide dimers, $H_2O_n-H_2O_m$ (n=1-4, m=1-4). The optimized geometries, harmonic vibrational frequencies, and binding energies are predicted at various levels of theory. The harmonic vibrational frequencies of the molecules considered in this study show all real numbers implying true minima. The higher-order correlation effect were discussed to compare MP2 result with CCSD(T) single point energy. The binding energies were corrected for the zero-point vibrational energy (ZPVE) and basis set superposition errors (BSSE). The largest binding energy predicted at the CCSD(T)/cc-pVTZ level of theory is 8.18 kcal/mol for $H_2O_4-H_2O_3$ and the binding energy of water dimer is predicted to be 3.00 kcal/mol.

Theoretical Approach for the Structures, Energetics and Spectroscopic Properties of (H2O3)n (n = 1-5) Clusters

  • Seo, Hyun-Il;Bahng, Jin-Ah;Kim, Yeon-Cheol;Kim, Seung-Joon
    • Bulletin of the Korean Chemical Society
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    • 제33권9호
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    • pp.3017-3024
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    • 2012
  • The geometrical parameters, vibrational frequencies, and binding energies for $(H_2O_3)_n$ (n = 1-5) have been investigated using various quantum mechanical techniques. The possible structures of the clusters (n = 2-5) are fully optimized and the binding energies are predicted using energy differences at each optimized geometry. The harmonic vibrational frequencies are also determined and zero-point vibrational energies (ZPVEs) are considered for the better prediction of the binding energy. The best estimation of the binding energy for the dimer is 8.65 kcal/mol. For n = 2 and 3, linear structures with all trans forms of the HOOOH monomers are predicted to be the lowest conformations in energy, while the cyclic structures with all cis-HOOOH monomers are preferable structures for n = 4 and 5.

The Implementation of Sub-MRA PWM Technique Using DSP (DSP를 이용한 Sub-MRA PWM 기법의 실현)

  • 이성백;이종규;원영진;한완옥;박진홍
    • The Proceedings of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • 제8권2호
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    • pp.41-45
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    • 1994
  • In this paper, it is implemented that Sub- MRA PWM techinque which is applied to MRA PWM technique using the Digital Signal Processor. Unstable element of analog is reduced for Sub - MRA PWM technique by digital signal pressing. And harmonic is analized by simulation to verify that. It is afford the process induction motor control with real time by minimizing the delay time of digital system. Time delay which is a defect of digital control can by minimized using fast caculation. Therefore, real time control is implemented in the induction motor

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ON THE CONFORMAL TRIHARMONIC MAPS

  • Ouakkas, Seddik;Reguig, Yasmina
    • Communications of the Korean Mathematical Society
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    • 제37권2호
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    • pp.607-629
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    • 2022
  • In this paper, we give the necessary and sufficient condition for the conformal mapping ϕ : (ℝn, g0) → (Nn, h) (n ≥ 3) to be triharmonic where we prove that the gradient of its dilation is a solution of a fourth-order elliptic partial differential equation. We construct some examples of triharmonic maps which are not biharmonic and we calculate the trace of the stress-energy tensor associated with the triharmonic maps.

Resonant Tank Design Considerations and Implementation of a LLC Resonant Converter with a Wide Battery Voltage Range

  • Sun, Wenjin;Wu, Hongfei;Hu, Haibing;Xing, Yan
    • Journal of Power Electronics
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    • 제15권6호
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    • pp.1446-1455
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    • 2015
  • This paper illustrates resonant tank design considerations and the implementation of a LLC resonant converter with a wide battery voltage range based on the fundamental harmonic approximation (FHA) analysis. Unlike the conventional design at zero load, the parameter K (the ratio of the transformer magnetizing inductor Lm to the resonant inductor Lr) of the LLC converter in this paper is designed with two charging points, (Vo_min, Io_max1) and (Vo_max, Io_max2), according to the battery charging strategy. A 2.9kW prototype with an output voltage range of 36V to 72V dc is built to verify the design. It achieves a peak efficiency of 96%.

Nonlinear, Optical and Luminescent Properties of xK2O-(33.3-x)BaO-16.7TiO2-50SiO2(mole%) Glasses (xK2O-(33.3-x)BaO-16.7TiO2-50SiO2(mole%) 유리의 비선형 광학 및 형광 특성)

  • Lee, Hoi-Kwan;Yoo, Eun-Sung;Chae, Su-Jin;Kang, Won-Ho
    • Journal of the Korean Ceramic Society
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    • 제43권9호
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    • pp.569-574
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    • 2006
  • Transparent glass-ceramics containing fresnoite crystals have been prepared by controlled heat treatment in $K_2O-BaO-TiO_2-SiO_2$ and their nonlinear optical and luminescent properties were investigated using Maker fringe method and Spectrofluorometer. The second harmonic generation was observed in all samples and the values decreased with increasing $K_2O$ content. The luminescence of blue light at ${\sim}482nm$ could be observed and it was shown that the luminescent property was controlled by the $K_2O$ content.

A Study on Maximum Responses of Rotational Shells Subjected to Uneven Settlements by Stochastic Method (부등침하를 받는 회전 쉘의 최대응답 추정에 관한 연구)

  • 정명채
    • Computational Structural Engineering
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    • 제10권3호
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    • pp.175-184
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    • 1997
  • The objective of this paper is to study arelationship between maximum response and its standard deviation of rotational shells that are subjected to uneven settlements. For this, the ratio, .eta, of the maximum response to standard deviation and it's approximate, .eta./sub apr/, are investigated by stochastic methods. Also, an equation for .eta./sub apr/, that is a function of predominant harmonic number is suggested. The settlements are represented by the Fourier series. Each term in the series contains two coefficients; the amplitude and the phase angle. It is assumed that phase angles are random variables and amplitudes are deterministic. To investigate the characteristics of .eta. and .eta./sub apr/, 100 phase angles for two types of artificial amplitudes spectra are used in the analysis. .eta. and .eta./sub apr/, are almost constant regardless of amplitude type, position of a shell or type of responses; they fall into from 2.0 to 2.5. .eta./sub apr/ is always close to .eta., but tends to be somewhat greater. It may be concluded that a maximum responses of rotational shells subjected to uneven settlements are .eta./sub apr/ (about 2.5) times of its standard deviation. It is considered that this result is used when we design rotational shell structures subjected to differential settlements.

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3-Phase Single Stage AC-DC Converter for Small Wind Turbine System (소형풍력발전을 위한 3상 단일전력단 교류-직류 컨버터)

  • Yu-Jin Moon;Beom-Su Park;Sang-Kyu Kim;Eun-Soo Kim;Deok-Jin Lim
    • The Transactions of the Korean Institute of Power Electronics
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    • 제28권1호
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    • pp.68-75
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    • 2023
  • This paper proposes a three-phase single-stage AC-DC converter for the small wind generation system. Input power factor improvement and insulated output can be implemented with the proposed three-phase single-stage AC-DC converter under the wide power generation voltage (80-260 Vac) and frequency (10-42 Hz) in a small wind power generation (WPG) system. The proposed converter is also capable of zero-voltage switching in the primary-side switches and zero-current switching in the secondary-side diodes by phase-shift control at a fixed switching frequency. In addition, it is possible to control a wide output voltage (Vo: 39 VDC-60 VDC) by varying the link voltage and improving the input power factor (PF) and the total harmonic distortion factor (THDi). Simulation and experimental results verified the validity of the proposed converter.