• Title/Summary/Keyword: harmonic numbers

Search Result 62, Processing Time 0.027 seconds

Spherical Slepian Harmonic Expression of the Crustal Magnetic Vector and Its Gradient Components (구면 스레피안 함수로 표현된 지각 자기이상값과 구배 성분)

  • Kim, Hyung Rae
    • Economic and Environmental Geology
    • /
    • v.49 no.4
    • /
    • pp.269-280
    • /
    • 2016
  • I presented three vector crustal magnetic anomaly components and six gradients by using spherical Slepian functions over the cap area of $20^{\circ}$ of radius centered on the South Pole. The Swarm mission, launched by European Space Agency(ESA) in November of 2013, was planned to put three satellites into the low-Earth orbits, two in parallel in East-West direction and one in cross-over of the higher altitude. This orbit configuration will make the gradient measurements possible in North-South direction, vertical direction, as well as E-W direction. The gravity satellites, such as GRACE and GOCE, have already implemented their gradient measurements for recovering the accurate gravity of the Earth and its temporal variation due to mass changes on the subsurface. However, the magnetic gradients have little been applied since Swarm launched. A localized magnetic modeling method is useful in taking an account for a region where data availability was limited or of interest was special. In particular, computation to get the localized solutions is much more efficient and it has an advantage of presenting high frequency anomaly features with numbers of solutions fewer than the global ones. Besides, these localized basis functions that were done by a linear transformation of the spherical harmonic functions, are orthogonal so that they can be used for power spectrum analysis by transforming the global spherical harmonic coefficients. I anticipate in scientific and technical progress in the localized modeling with the gradient measurements from Swarm and here will do discussion on the results of the localized solution to represent the three vector and six gradient anomalies over the Antarctic area from the synthetic data derived from a global solution of the spherical harmonics for the crustal magnetic anomalies of Swarm measurements.

Effect of the Number of Slots on the Acoustic Noise from BLDC Motors (BLDC 전동기의 슬롯수가 소음에 미치는 영향)

  • Kwon, Joong-Hak;Kim, Kwang-Suk;Lee, Chang-Min;Hwang, Sang-Moon
    • Transactions of the Korean Society for Noise and Vibration Engineering
    • /
    • v.19 no.8
    • /
    • pp.759-763
    • /
    • 2009
  • The goal of this study is to examine the effect of the number of slots on the noise from BLDC motors. To this end, the number of poles was fixed to 4 and the number of the slots was set to 6 or 24 before noise was measured. Motors having different numbers of slots showed clear differences in noise. Cogging torque, torque ripple and normal local force were interpreted, analyzed and compared to determine the reason for the differences. To determine the cause of the noise, cogging torque, torque ripple and normal local force were calculated, which are representative noise sources of BLDC motors, and FFT was performed to analyze their frequency components(harmonics). The results show that torque ripple and normal local force were the dominant factors in the noise difference between the 6-slot and 24-pole motors. As the number of the slots increased, the number of harmonics decreased and their amplitude of harmonic were reduced, which was attributed as the reason for the noise differences.

Oscillatory Instability of Low Strain Rate Edge Flame (저신장율 에지 화염의 진동 불안정성)

  • Kim Kang-Tae;Park June-Sung;Kim Jeong-Soo;Oh Chang-Bo;Keel Sang-In;Park Jeong
    • Transactions of the Korean Society of Mechanical Engineers B
    • /
    • v.30 no.4 s.247
    • /
    • pp.343-349
    • /
    • 2006
  • Systematic experiments in $CH_4/Air$ counterflow diffusion flames diluted with He have been undertaken to study the oscillatory instability in which lateral flame size was less than burner nozzle diameter and thus lateral heat loss could be remarkable at low global strain rate. The oscillatory instability arises for Lewis numbers greater than unity and occurs near extinction condition. The oscillation is the direct outcome from the advancing and retreating edge flame. The dynamic behaviors of extinction in this configuration can be classified into three modes; growing, harmonic and decaying oscillation mode near extinction. As the global strain rate decreases, the amplitude of the oscillation becomes larger. This is caused by the increase of lateral heat loss which can be confirmed by the reduction of lateral flame size. Oscillatory edge flame instabilities at low global strain rate are shown to be closely associated with not only Lewis number but also heat loss (radiation and lateral heat loss).

DFT Study for the Thermodynamic Stability and Binding Energeticsof SnOn, SnO2n, SnO3n (n = 1~4) (SnOn, SnO2n, SnO3n (n = 1~4)의 열역학적 안정성과 결합에너지에 대한 DFT 이론 연구)

  • Kim, Si-Jo;Kim, Seung-Joon
    • Journal of the Korean Chemical Society
    • /
    • v.53 no.5
    • /
    • pp.512-520
    • /
    • 2009
  • The theoretical calculations for $S_nO_n,\;S_nO_{2n},\;S_nO_{3n}\;(n\;=\;1{\sim}4)$ have been considered at the B3LYP level of theory with various basis sets. The optimized geometries, harmonic vibrational frequencies, and binding energies are evaluated to elucidate the thermodynamic stability and spectroscopic properties. The harmonic vibrational frequencies for the molecules considered in this study show all real numbers implying true minima. The binding energies due to increasing of $S_nO_n,\;S_nO_{2n},\;S_nO_{3n}$ monomers are calculated at the MP2/6-311G** level of theory. For $S_nO_n\;(n\;=\;1{\sim}4)$, the binding energy difference is about 20∼25 kcal/mol by adding SO monomer. For $SO_2\;and\;SO_3\;(n\;=\;1{\sim}4)$, the binding energy differences are relatively small by comparing to $S_nO_n$.

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
    • /
    • v.59 no.2
    • /
    • pp.117-124
    • /
    • 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.

A Case Study on Vocal Aerobic Treatment Voice Therapy Development and Application for Classical Singers (성악가를 위한 VAT 음성치료 개발 및 적용 사례연구)

  • Yoo, Jae-Yeon;Lee, Ha-Na
    • 재활복지
    • /
    • v.22 no.1
    • /
    • pp.157-168
    • /
    • 2018
  • The purpose of this study is to investigate the impact of semi-closed vocal training-based Vocal Aerobic Treatment on the voice improvement of soprano. Study subject was one soprano who appealed to the suffering of her voice problem due to vocal cord nodule. A study method of conducting pre/post acoustic evaluation and subjective voice evaluation to compare the measures was used; Vocal Aerobic Treatment was carried out twice a week for a total of 32 session. In the acoustic evaluation, MDVP (multi-dimensional voice program) and VRP (voice range profile) were used to evaluate the pitch, voice quality, and voice range; in the subjective voice evaluation, SVHI (singing voice handicap index) was used to assess voice satisfaction. As a result of the pitch evaluation, the soprano maintained a proper Fo. As a result of the voice quality evaluation, the jitter, shimmer, and the noise harmonic ratio numbers decreased compared to the numbers shown before the treatment. As a result of the voice range evaluation, the scope of the range was broadened, with the number of semitone increasing from 30 to 35. As for the subjective voice evaluation, the result of the total score obtained after the survey report divided by the number of questions showed a decrease from 3.6 to 0.6. The soprano herself reported of having a minor extent of a voice problem. The summary of the above results reflects that Vocal Aerobic Treatment is useful in the voice improvement of vocalists However, as this study is case research regarding the Vocal Aerobic Treatment effect on one soprano, further research on the treatment effect covering many other vocalists is necessary. Also, there is a need for follow-up studies regarding voice management and voice treatment program on not only the vocalists but also the voice users in many other professions.

Wave Propagation in a Strip Plate with Longitudinal Stiffeners (보강재를 가진 무한길이 띠 평판의 진동해석)

  • Kim, Hyungjun;Ryue, Jungsoo
    • Transactions of the Korean Society for Noise and Vibration Engineering
    • /
    • v.23 no.6
    • /
    • pp.512-519
    • /
    • 2013
  • It is important to understand the vibrating behavior of plate structures for its many engineering applications. In this study, the vibration characteristics of strip plates that have finite width and infinite length are investigated theoretically and numerically. The waveguide finite element(WFE) approach, which is an effective tool for studying waveguide structures, is used in this study. The WFE method requires only a cross-sectional finite element model, and uses theoretical harmonic solutions to assess wave propagation along the longitudinal direction. First, WFE results for a simple strip plate are compared with the theoretical results(i.e., dispersion diagrams and point mobilities) to validate the numerical model. Then, in the numerical analysis, different numbers of longitudinal stiffeners are included in the plate model to investigate the effects of stiffeners in terms of the dispersion curves and mobilities. Finally, the dispersion curves of a stiffened double plate are obtained to examine the characteristics of its wave propagation.

Theoretical Approach for the Equilibrium Structures and Relative Energies of C7H7+ Isomers and the Transition States between o-, m-, and p-Tolyl Cations

  • Shin, Chang-Ho;Park, Kyung-Chun;Kim, Seung-Joon;Kim, Byung-Joo
    • Bulletin of the Korean Chemical Society
    • /
    • v.23 no.2
    • /
    • pp.337-345
    • /
    • 2002
  • The equilibrium structures for the ground and transition states of $C_7H_7^+$ isomers have been investigated using sophisticated ab initio quantum mechanical techniques with various basis sets. The structures of tropyrium and benzyl cations have been fully optimized at the DZP CCSD(T) levels of theory. And the structures of o-, m-and p-tolyl cations are optimized fully up to the DZ CCSD(T) levels of theory. The geometries for the transition states between three isomers of tolyl cations have been optimized up to DZP CISD level of theory. The SCF harmonic vibrational frequencies for tropylium, benzyl, and three isomers of tolyl cations are all real numbers, which confirm the potential minima and each unique imaginary vibrational frequencies for TS1 and TS2 confirm the true transition states. The relative energy of the benzyl cation with respect to the tropyrium cation is predicted to be 28.5 kJ/mol and is in good agreement with the previous theoretical predictions. The 0 K heats of formation, ${\Delta}H^{\circ}_{f0}$, have been predicted to be 890, 1095, 1101, and 1110 kJ/mol for tropylium, ortho-, meta-, and para-tolyl cations by taking the experimental value of 919 kJ/mol for the benzyl cation as the base level. The relative stability between tolyl cations is in the order of ortho

Oscillatory Instabilities of Edge Flames in Solid Rocket Combustion (고체연료로켓에서 에지화염의 맥동 불안정성)

  • Kim Kang-Tae;Park Jun-Sung;Park Jeong;Kim Jeong-Soo;Keel Sang-In;Cho Han-Chang
    • Proceedings of the Korean Society of Propulsion Engineers Conference
    • /
    • 2006.05a
    • /
    • pp.275-278
    • /
    • 2006
  • Systematic experiments in $CH_4/Air$ counterflow diffusion flames diluted with He have been undertaken to study the oscillatory instability in which lateral heat loss could be remarkable at low global strain rate. The oscillatory instability arises for Lewis numbers greater than unity and occurs near extinction condition. The dynamic behaviors of extinction in this configuration can be classified into three modes; growing, harmonic and decaying oscillation mode near extinction. As the global strain rate decreases, the amplitude of the oscillation becomes larger. This is caused by the increase of lateral heat loss which ran be confirmed by the reduction of lateral flame size. Oscillatory edge flame instabilities at low global strain rate are shown to be closely associated with not only Lewis number but also heat loss (radiation and lateral heat loss).

  • PDF

A simple statistical model for determining the admission or discharge of dyspnea patients (호흡곤란 환자의 입퇴원 결정을 위한 간편 통계모형)

  • Park, Cheol-Yong;Kim, Tae-Yoon;Kwon, O-Jin;Park, Hyoung-Seob
    • Journal of the Korean Data and Information Science Society
    • /
    • v.21 no.2
    • /
    • pp.279-289
    • /
    • 2010
  • In this study, we propose a simple statistical model for determining the admission or discharge of 668 patients with a chief complaint of dyspnea. For this, we use 11 explanatory variables which are chosen to be important by clinical experts among 55 variables. As a modification process, we determine the discharge interval of each variable by the kernel density functions of the admitted and discharged patients. We then choose the optimal model for determining the discharge of patients based on the number of explanatory variables belonging to the corresponding discharge intervals. Since the numbers of the admitted and discharged patients are not balanced, we use, as the criteria for selecting the optimal model, the arithmetic mean of sensitivity and specificity and the harmonic mean of sensitivity and precision. The selected optimal model predicts the discharge if 7 or more explanatory variables belong to the corresponding discharge intervals.