• Title/Summary/Keyword: logarithmic coefficients

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Dynamic analysis of spin speed dependent parameter rotor-bearing systems (회전속도 의존 매개변수를 가진 회전체-베어링계의 동적 해석)

  • 홍성욱;이종원
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.5
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    • pp.976-983
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    • 1988
  • An efficient unbalance response analysis method for rotor-bearing systems with spin speed dependent parameters is developed by utilizing a generalized modal analysis scheme. The spin speed dependent eigenvalue problem of the original system is transformed into the spin speed independent eigenvalue problem by introducing a lambda matrix, assuming the bearing dynamic coefficients are well approximated by polynomial functions of spin speed. This method features that it requires far less computational effort in unbalance response calculations and that the influence coefficients are readily available. In addition, the critical speeds and the corresponding logarithmic decrements can be readily identified from the resulting eigenvalues.

Labyrinth Seal Design Considering Leakage Flow Rate and Rotordynamic Performance (누설유량과 회전체동역학적 성능을 고려한 래버린스 씰 설계)

  • Minju Moon;Jeongin Lee;Junho Suh
    • Tribology and Lubricants
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    • v.39 no.2
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    • pp.61-71
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    • 2023
  • This study proposes a procedure for designing a labyrinth seal that meets both leakage flow rate and rotordynamic performance criteria (effective damping, amplification factor, separation margin, logarithmic decrement, and vibration amplitude). The seal is modeled using a one control volume (1CV) bulk flow approach to predict the leakage flow rate and rotordynamic coefficients. The rotating shaft is modeled with the finite element (FE) method and is assumed to be supported by two linearized bearings. Geometry, material and operating conditions of the rotating shaft, and the supporting characteristics of the bearings were fixed. A single labyrinth seal is placed at the center of the rotor, and the linearized dynamic coefficients predicted by the seal numerical model are inserted as linear springs and dampers at the seal position. Seal designs that satisfy both leakage and rotordynamic performance are searched by modifying five seal design parameters using the multi-grid method. The five design parameters include pre-swirl ratio, number of teeth, tooth pitch, tooth height and tooth tip width. In total, 12500 seal models are examined and the optimal seal design is selected. Finally, normalization was performed to select the optimal labyrinth seal designs that satisfy the system performance requirements.

2nd-Order 3-Bit Delta-Sigma Modulator For Zero-IF Receivers using DWA algorithm (DWA알고리즘을 적용한 Zero-IF 수신기용 2차 3비트 델타-시그마 변조기)

  • Kim, Hui-Jun;Lee, Seung-Jin;Choe, Chi-Yeong;Choe, Pyeong
    • Proceedings of the KIEE Conference
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    • 2003.11b
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    • pp.75-78
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    • 2003
  • In this paper, a second-order 3-bit DSM using DWA(Data Weighted Averaging) algorithm is designed for bluetooth Zero-IF Receiver. The designed circuit has two integrators using a designed OTA, nonoverlapping two-phase clerk generator, 3-bit A/D converter, DWA algorithm and 3-bit D/A converter An ideal model of second-order lowpass DSM with a 3-bit quantizer was configured by using MATLAB, and each coefficients and design specification of each blocks were determined to have 10-bit resolution in 1MHz channel bandwidth. The designed second-order 3-blt lowpass DSM has maximum SNR of 74dB and power consumption is 50mW at 3.3V.

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Robust Music Identification Using Long-Term Dynamic Modulation Spectrum

  • Kim, Hyoung-Gook;Eom, Ki-Wan
    • The Journal of the Acoustical Society of Korea
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    • v.25 no.2E
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    • pp.69-73
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    • 2006
  • In this paper, we propose a robust music audio fingerprinting system for automatic music retrieval. The fingerprint feature is extracted from the long-term dynamic modulation spectrum (LDMS) estimation in the perceptual compressed domain. The major advantage of this feature is its significant robustness against severe background noise from the street and cars. Further the fast searching is performed by looking up hash table with 32-bit hash values. The hash value bits are quantized from the logarithmic scale modulation frequency coefficients. Experiments illustrate that the LDMS fingerprint has advantages of high scalability, robustness and small fingerprint size. Moreover, the performance is improved remarkably under the severe recording-noise conditions compared with other power spectrum-based robust fingerprints.

Organic Solvent Dyeing (I) - The dyeing of PET by C. I. Disperse Violet 1 - (유기용매염색 (I) - C. I. Disperse Violet 1에 의한 PET 염색 -)

  • Kim, Tae Kyeong;Heo, Jae Won;Lim, Yong Jin
    • Textile Coloration and Finishing
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    • v.9 no.4
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    • pp.20-27
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    • 1997
  • As a non-aqueous dyeing method, organic solvent dyeing was discussed, The dye uptakes on PET and the solubilities of C. I. Disperse Violet 1 in 24 kinds of organic solvents including water were investigated, and the partition coefficients in PET- solvents system were also obtained from their isotherms. Contrary to in the other solvents, the dye uptake of C. I. Disperse Violet 1 on PET in hexane was even much higher, and also considerable in cyclohexane. The logarithmic plot of the dye uptakes versus the solubilities showed that the dye uptakes are linear and inversely proportional to the solubilities. The effect of $T_g$ decrease of PET in organic solvents to dye uptake seems to be very small relative to the effect of solubility, and so negligible.

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Mechanical Properties of Rice Plants Under the Transverse Loading -Creep and Recovery Behavior- (측방향하중(側方向荷重)에 의한 벼줄기의 역학적특성(力學的特性)에 관한 연구(硏究)(II) -크리이프 및 회복 거동-)

  • Huh, Yun Kun
    • Korean Journal of Agricultural Science
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    • v.23 no.2
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    • pp.233-241
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    • 1996
  • The mechanical properties of biological materials depend on numerous factors. The majority of these relationships are still unknown today, especially with regard to their quantitative characteristics. The reason is that biological materials constitute biomechanical systems of very complex construction, whose behavior cannot be characterized by simple physical constants, as for example can that of engineering materials. The objectives of this investigation were to determine the compression creep and recovery properties of rice stalks at various levels of applied load The compression creep and recovery behavior of the rice stalk could be predicted precisely by rheological model which approached closely to the measured values. But the coefficients of the Burgers recovery model were different from those of the creep model. The Steady state creep behavior occurred at the higher level of force and the logarithmic creep behavior occurred at the lower level of force. The mechanical model being expected the creep behavior in relation with the level of applied load, which was well explained that the rice stalk might be visco-elastic material.

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THE INFINITE GROWTH OF SOLUTIONS OF SECOND ORDER LINEAR COMPLEX DIFFERENTIAL EQUATIONS WITH COMPLETELY REGULAR GROWTH COEFFICIENT

  • Zhang, Guowei
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.2
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    • pp.419-431
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    • 2021
  • In this paper we discuss the classical problem of finding conditions on the entire coefficients A(z) and B(z) guaranteeing that all nontrivial solutions of f" + A(z)f' + B(z)f = 0 are of infinite order. We assume A(z) is an entire function of completely regular growth and B(z) satisfies three different conditions, then we obtain three results respectively. The three conditions are (1) B(z) has a dynamical property with a multiply connected Fatou component, (2) B(z) satisfies T(r, B) ~ log M(r, B) outside a set of finite logarithmic measure, (3) B(z) is extremal for Denjoy's conjecture.

Feasibility of a Nonlinear Acoustic Method for the Assessment of Bone Status and Osteoporosis in Trabecular Bone

  • Lee, Kang Il
    • Journal of the Korean Physical Society
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    • v.73 no.12
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    • pp.1849-1854
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    • 2018
  • The present study aims to investigate the feasibility of using a simple nonlinear acoustic method for the assessment of bone status and osteoporosis in trabecular bone. Correlations of linear and nonlinear ultrasound parameters with the apparent bone density were obtained in 32 bovine femoral trabecular bone samples. Highly significant positive correlations were observed between the apparent bone density and the two linear ultrasound parameters, the speed of sound (SOS) and the normalized broadband ultrasound attenuation (nBUA), with Spearman's correlation coefficients of r = 0.85 and 0.77. In contrast, the apparent bone density was found to be negatively correlated with the nonlinear ultrasound parameter introduced in the present study, the logarithmic difference between the power spectrum levels of the fundamental frequency and the second harmonic (PSL1-PSL2), with the highest correlation coefficient of r = -0.92. These results suggest that the PSL1-PSL2, in addition to the SOS and the nBUA, may be useful for the assessment of bone status and osteoporosis.

ON INTEGRAL MEANS OF DERIVATIVES OF UNIVALENT FUNCTIONS

  • Elhosh, M.M.
    • Bulletin of the Korean Mathematical Society
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    • v.24 no.1
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    • pp.13-17
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    • 1987
  • Let S denote the class of nivalent functions normalized so that f(0)=f'(0)-1=0 in vertical bar z vertical bar <1. Let $S_{\alpha}$$^{*}$, -.pi./2<.alpha.<.pi./2, denote the subclass of S that satisfies Re $e^{i{\alpha}}$zf'(z)/f(z).geq.0 in vertical bar z vertical bar <1; then f is called .alpha.-spiral-like and the case .alpha.=0 is the class of normalized starlike functions [6, pp.52]. Let T denote the class of functions f normalized as above and satisfying Im z[Im f(z)]..geq.0 in vertical bar z vertical bar <1; then f is called typically real and T contains those functions of S whose coefficients are real [6, pp.55]. Also, in view of [6, pp.231], let B(.lambda.) be the class of function normalized as above and map vertical bar z vertical bar <1 onto the complement of an arc with radial angle .lambda.(0<.lambda.<.pi./2). The radial angle is meant to be the angle between the tangent and radial vectors to the arc. This note includes a sharp version for Corollary 1 of [2] when f.mem. $S_{\alpha}$$^{*}$ as well as a logarithmic coefficient estimate.nt estimate.

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Regression Algorithms Evaluation for Analysis of Crosstalk in High-Speed Digital System

  • Minhyuk Kim
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.18 no.6
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    • pp.1449-1461
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    • 2024
  • As technology advances, processor speeds are increasing at a rapid pace and digital systems require a significant amount of data bandwidth. As a result, careful consideration of signal integrity is required to ensure reliable and high-speed data processing. Crosstalk has become a vital area of research in signal integrity for electronic packages, mainly because of the high level of integration. Analytic formulas were analyzed in this study to identify the features that can predict crosstalk in multi-conductor transmission lines. Through the analysis, five variables were found and obtained a dataset consisting of 302,500, data points. The study evaluated the performance of various regression models for optimization via automatic machine learning by comparing the machine learning predictions with the analytic solution. Extra tree regression consistently outperformed other algorithms, with coefficients of determination exceeding 0.9 and root mean square logarithmic errors below 0.35. The study also notes that different algorithms produced varied predictions for the two metrics.