• 제목/요약/키워드: square root function

검색결과 243건 처리시간 0.027초

기체 전달 관로에 있어서 압력 전파의 주파수 응답에 대한 부하 임피던스의 영향 (The Effect of Load Impedances on the Frequency Response of Pressure Propagation in the Pneumatic Transmission Line)

  • 윤선주;손병진
    • 설비공학논문집
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    • 제6권4호
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    • pp.344-353
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    • 1994
  • This study numerically analyzed the dynamic characteristics of the frequency response on the pneumatic transmission line with load impedances. The pressure transfer function is represented by the distributed parameter line model. To validate the mathematical approximations of Bessel function ratios, the results of frequency response in a blocked line were compared with those obtained by the Infinite-product, Brown's and Square-root approximations. Special emphasis was given to the frequency response characteristics on the pneumatic transmission line with load impedances. Computations were carried out for the wide range of parameters in terms of load capacitance ratio and load resistance ratio. The present results indicated that the theoretical model is capable of accurately predicting the frequency response characteristics for any configuration of a fluid transmission line.

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A developed hybrid method for crack identification of beams

  • Vosoughi, Ali.R.
    • Smart Structures and Systems
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    • 제16권3호
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    • pp.401-414
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    • 2015
  • A developed hybrid method for crack identification of beams is presented. Based on the Euler-Bernouli beam theory and concepts of fracture mechanics, governing equation of the cracked beams is reformulated. Finite element (FE) method as a powerful numerical tool is used to discritize the equation in space domain. After transferring the equations from time domain to frequency domain, frequencies and mode shapes of the beam are obtained. Efficiency of the governed equation for free vibration analysis of the beams is shown by comparing the results with those available in literature and via ANSYS software. The used equation yields to move the influence of cracks from the stiffness matrix to the mass matrix. For crack identification measured data are produced by applying random error to the calculated frequencies and mode shapes. An objective function is prepared as root mean square error between measured and calculated data. To minimize the function, hybrid genetic algorithms (GAs) and particle swarm optimization (PSO) technique is introduced. Efficiency, Robustness, applicability and usefulness of the mixed optimization numerical tool in conjunction with the finite element method for identification of cracks locations and depths are shown via solving different examples.

EMG 패턴인식을 이용한 인공팔의 마이크로프로세서 제어 (Microprocessor Control of a Prosthetic Arm by EMG Pattern Recognition)

  • Hong, Suk-Kyo
    • 대한전기학회논문지
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    • 제33권10호
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    • pp.381-386
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    • 1984
  • This paper deals with the microcomputer realization of EMG pattern recognition system which provides identification of motion commands from the EMG signals for the on-line control of a prosthetic arm. A probabilistic model of pattern is formulated in the feature space of integral absolute value(IAV) to describe the relation between a motion command and the location of corresponding pattern. This model enables the derivation of sample density function of a command in the feature space of IAV. Classification is caried out through the multiclass sequential decision process, where the decision rule and the stopping rule of the process are designed by using the simple mathematical formulas defined as the likelihood probability and the decision measure, respectively. Some floating point algorithms such as addition, multiplication, division, square root and exponential function are developed for calculating the probability density functions and the decision measure. Only six primitive motions and one no motion are incorporated in this paper.

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근전도 바이오피드백 훈련이 퇴행성 슬관절염 환자의 대퇴사두근 활성에 미치는 효과 (Effect of Quadriceps Activity for Degenerative Arthritis Applied EMG Biofeedback Training)

  • 김용억;김동현
    • 대한임상전기생리학회지
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    • 제6권1호
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    • pp.31-42
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    • 2008
  • This study performed in order to investigate the effect of isometric resistance exercise for vastus medialis oblique muscle with EMG(electromyography) biofeedback training which are applied to the patello-femoral joint of patients with osteoarthritis on the improve of function. The subjects had no neuromuscular disorders, and they were elder patients with osteoarthritis, 20 women. And the experiment was performed in control group, taping with EMG biofeedback training group respectively, and the measurement was carried out before and after the treatment and 4 weeks after the treatment. Motor unit action potential analysis with surface electromyography showed a significant change in RMS(root mean square) amplitude and MDF(median frequency) in vastus medialis oblique muscle(p<0.05). VMO/VL(vastus medialis oblique/vastus lateralis oblique) MDF ratio showed a significant change between groups(p<0.05). Taping with EMG biofeedback training applied to patello-femoral joint of osteoarthritis patients appeared to be effective for muscle function improvement. However, increase of muscular force in vastus medialis oblique muscle appears to have a positive effect on improve of function along with correction effect on patella malalignment. In conclusion, in case of osteoarthritis patients with loss of patello-femoral joint function, it appears to be effective to practice isometric resistance exercise of vastus medialis oblique muscle selective with taping.

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Passive control of seismically excited structures by the liquid column vibration absorber

  • Konar, Tanmoy;Ghosh, Aparna Dey
    • Structural Engineering and Mechanics
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    • 제36권5호
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    • pp.561-573
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    • 2010
  • The potential of the liquid column vibration absorber (LCVA) as a seismic vibration control device for structures has been explored in this paper. In this work, the structure has been modeled as a linear, viscously damped single-degree-of-freedom (SDOF) system. The governing differential equations of motion for the damper liquid and for the coupled structure-LCVA system have been derived from dynamic equilibrium. The nonlinear orifice damping in the LCVA has been linearized by a stochastic equivalent linearization technique. A transfer function formulation for the structure-LCVA system has been presented. The design parameters of the LCVA have been identified and by applying the transfer function formulation the optimum combination of these parameters has been determined to obtain the most efficient control performance of the LCVA in terms of the reduction in the root-mean-square (r.m.s.) displacement response of the structure. The study has been carried out for an example structure subjected to base input characterized by a white noise power spectral density function (PSDF). The sensitivity of the performance of the LCVA to the coefficient of head loss and to the tuning ratio have also been examined and compared with that of the liquid column damper (LCD). Finally, a simulation study has been carried out with a recorded accelerogram, to demonstrate the effectiveness of the LCVA.

Stochastic optimal control analysis of a piezoelectric shell subjected to stochastic boundary perturbations

  • Ying, Z.G.;Feng, J.;Zhu, W.Q.;Ni, Y.Q.
    • Smart Structures and Systems
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    • 제9권3호
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    • pp.231-251
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    • 2012
  • The stochastic optimal control for a piezoelectric spherically symmetric shell subjected to stochastic boundary perturbations is constructed, analyzed and evaluated. The stochastic optimal control problem on the boundary stress output reduction of the piezoelectric shell subjected to stochastic boundary displacement perturbations is presented. The electric potential integral as a function of displacement is obtained to convert the differential equations for the piezoelectric shell with electrical and mechanical coupling into the equation only for displacement. The displacement transformation is constructed to convert the stochastic boundary conditions into homogeneous ones, and the transformed displacement is expanded in space to convert further the partial differential equation for displacement into ordinary differential equations by using the Galerkin method. Then the stochastic optimal control problem of the piezoelectric shell in partial differential equations is transformed into that of the multi-degree-of-freedom system. The optimal control law for electric potential is determined according to the stochastic dynamical programming principle. The frequency-response function matrix, power spectral density matrix and correlation function matrix of the controlled system response are derived based on the theory of random vibration. The expressions of mean-square stress, displacement and electric potential of the controlled piezoelectric shell are finally obtained to evaluate the control effectiveness. Numerical results are given to illustrate the high relative reduction in the root-mean-square boundary stress of the piezoelectric shell subjected to stochastic boundary displacement perturbations by the optimal electric potential control.

Weibull 분포 모형을 이용한 굴참나무 임분 재적 및 탄소저장량 추정 (Prediction of Stand Volume and Carbon Stock for Quercus variabilis Using Weibull Distribution Model)

  • 손영모;표정기;김소원;이경학
    • 한국산림과학회지
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    • 제101권4호
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    • pp.599-605
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    • 2012
  • 본 연구의 목적은 굴참나무 임분의 직경분포와 ha당 재적 및 탄소량을 추정하는데 있다. 영급과 임분구조를 고려하여 굴참나무 임분에서 354개소를 조사하고 시료를 수집하였다. 임령에 따른 직경분포를 파악하기 위하여 Weibull 모형을 사용하였으며 모수의 추정은 단순적률법(Simplified method-of-moments)을 이용하였다. 사용된 자료 중에서 80%는 모형개발에 사용하였고, 나머지 20%는 개발된 모형의 검정에 사용하였다. 모형의 검정에는 적합도지수(Fitness Index)와 평균오차제곱(Root Mean Square Error), Kolmogorov-Smirnov 통계치가 이용되었다. 검정자료에서 추정된 지위지수, 수고, 재적식의 적합도지수는 각각 0.967, 0.727, 0.988이고 평균오차제곱은 2.763, 1.817, 0.007이며, Weibull 모형의 Kolmogorov-Smirnov 적합도는 75%를 나타내었다. 본 연구를 통해 개발된 모형에서 50년생의 굴참나무임분이 14의 지위지수와 697본의 분수를 나타내는 경우, 재적은 $188.69m^3/ha$이고 지상부 탄소량은 90.30 tC/ha으로 추정되었다. 본 연구의 결과는 활엽수 수종에 대한 생장정보의 제공이 가능하고 굴참나무 탄소량 추정에 활용이 가능하다.

횡보강근이 없는 100 MPa 이하 콘크리트의 철근 압축이음 강도와 이음길이 (Capacity and Length of Compression Lap Splice in Unconfined Concrete of 100MPa and Less Compressive Strength)

  • 천성철;이성호;오보환
    • 콘크리트학회논문집
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    • 제22권5호
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    • pp.659-666
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    • 2010
  • 현행 설계기준식에 따르면 초고강도 콘크리트에서는 철근 인장이음길이보다 압축이음길이가 더 길어지는 현상이 발생된다. 압축이음은 단부 지압이 존재하므로, 인장이음보다 길 필요는 없다. 초고강도 콘크리트의 경제적 실용화를 위해 합리적인 압축이음강도의 평가가 필요하다. 이를 위해 설계강도 80, 100 MPa 콘크리트를 이용하여 횡보강근이 없는 압축이음 실험을 수행하였다. 실험 결과 압축이음강도는 콘크리트 강도의 제곱근에 비례하는 것으로 평가되었다. 지압에 의해 발현되는 이음강도는 이음길이와 무관하며 콘크리트 강도의 제곱근에 비례하는 것으로 평가되었다. 58개 실험체의 평균은 $16.5\;\sqrt{f_{ck}}$이다. 부착에 의해 발현되는 강도를 ACI 408식으로 평가한 결과 [실험값]/[이론값]의 비는 평균 0.94로, 인장이음의 부착강도와 거의 유사하였다. 따라서 인장이음강도에 대비한 압축이음강도의 향상은 단부 지압효과로 설명될 수 있다. 실험결과에서 분석된 이음길이와 콘크리트 강도의 영향 특성을 고려하여 압축이음강도 평가식과 압축이음길이 설계식을 제안하였다. 제안된 설계식은 통계적 기법에 기반을 두어, 이음부가 철근 재료강도와 동일한 수준의 신뢰성을 확보할 수 있다.

Kinetic Behavior of Escherichia coli on Various Cheeses under Constant and Dynamic Temperature

  • Kim, K.;Lee, H.;Gwak, E.;Yoon, Y.
    • Asian-Australasian Journal of Animal Sciences
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    • 제27권7호
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    • pp.1013-1018
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    • 2014
  • In this study, we developed kinetic models to predict the growth of pathogenic Escherichia coli on cheeses during storage at constant and changing temperatures. A five-strain mixture of pathogenic E. coli was inoculated onto natural cheeses (Brie and Camembert) and processed cheeses (sliced Mozzarella and sliced Cheddar) at 3 to 4 log CFU/g. The inoculated cheeses were stored at 4, 10, 15, 25, and $30^{\circ}C$ for 1 to 320 h, with a different storage time being used for each temperature. Total bacteria and E. coli cells were enumerated on tryptic soy agar and MacConkey sorbitol agar, respectively. E. coli growth data were fitted to the Baranyi model to calculate the maximum specific growth rate (${\mu}_{max}$; log CFU/g/h), lag phase duration (LPD; h), lower asymptote (log CFU/g), and upper asymptote (log CFU/g). The kinetic parameters were then analyzed as a function of storage temperature, using the square root model, polynomial equation, and linear equation. A dynamic model was also developed for varying temperature. The model performance was evaluated against observed data, and the root mean square error (RMSE) was calculated. At $4^{\circ}C$, E. coli cell growth was not observed on any cheese. However, E. coli growth was observed at $10{\circ}C$ to $30^{\circ}C$C with a ${\mu}_{max}$ of 0.01 to 1.03 log CFU/g/h, depending on the cheese. The ${\mu}_{max}$ values increased as temperature increased, while LPD values decreased, and ${\mu}_{max}$ and LPD values were different among the four types of cheese. The developed models showed adequate performance (RMSE = 0.176-0.337), indicating that these models should be useful for describing the growth kinetics of E. coli on various cheeses.

자세변화가 자율신경계에 미치는 영향 (The Influence of Position Change on Autonomic Nervous System Function)

  • 김인배;김은경;강종호
    • 대한물리의학회지
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    • 제9권1호
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    • pp.63-68
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    • 2014
  • PURPOSE: The purpose of this study was to examine the position changes with tilt table on autonomic nervous system using heart rate variability analysis. METHODS: Fourty healthy adult males volunteered in this study. The low frequency, high frequency and low frequency/high frequency ratio and mean heart rate, standard deviation of all normal R-R intervals, root mean square of successive differences, heart rate variability index were measured at the tilt table angle of $0^{\circ}$, $45^{\circ}$ and $90^{\circ}$ with pulsoximeter. Data were analyzed one-way ANOVA and LSD post hoc test. RESULTS: The mean heart rate, low frequency and low frequency/high frequency ratio increased significantly at higher angle of tilt table(p<.05). The root mean square of successive differences, heart rate variability index decreased significantly at lower angle of tilt table(p<.05). The standard deviation of all normal R-R intervals, high frequency decreased at higher angle of tilt table did not show significant difference. CONCLUSION: The symphathetic activity increased significantly at higher angle of tilt table. The parasymphathetic activity decreased at higher angle of tilt table, but the difference were not significant. The autonomic adaptation, balance and heart rate variability decreased significantly at higher angle of tilt table. Based on these results, in the treatment of patients with a change in posture precedence should be carefully treated. Further studies are necessary to determine the most safety and effective methods.