• Title/Summary/Keyword: Hill equation

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Regression Analysis-based Model Equation Predicting the Concentration of Phytoncide (Monoterpenes) - Focusing on Suri Hill in Chuncheon - (피톤치드(모노테르펜) 농도 예측을 위한 회귀분석 기반 모델식 -춘천 수리봉을 중심으로-)

  • Lee, Seog-Jong;Kim, Byoung-Ug;Hong, Young-Kyun;Lee, Yeong-Seob;Go, Young-Hun;Yang, Seung-Pyo;Hyun, Geun-Woo;Yi, Geon-Ho;Kim, Jea-Chul;Kim, Dae-Yeoal
    • Journal of Environmental Health Sciences
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    • v.47 no.6
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    • pp.548-557
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    • 2021
  • Background: Due to the emergence of new diseases such as COVID-19, an increasing number of people are struggling with stress and depression. Interest is growing in forest-based recreation for physical and mental relief. Objectives: A prediction model equation using meteorological factors and data was developed to predict the quantities of medicinal substances generated in forests (monoterpenes) in real-time. Methods: The concentration of phytoncide and meteorological factors in the forests near Chuncheon in South Korea were measured for nearly two years. Meteorological factors affecting the observation data were acquired through a multiple regression analysis. A model equation was developed by applying a linear regression equation with the main factors. Results: The linear regression analysis revealed a high explanatory power for the coefficients of determination of temperature and humidity in the coniferous forest (R2=0.7028 and R2=0.5859). With a temperature increase of 1℃, the phytoncide concentration increased by 31.7 ng/Sm3. A humidity increase of 1% led to an increase in the coniferous forest by 21.9 ng/Sm3. In the deciduous forest, the coefficients of determination of temperature and humidity had approximately 60% explanatory power (R2=0.6611 and R2=0.5893). A temperature increase of 1℃ led to an increase of approximately 9.6 ng/Sm3, and 1% humidity resulted in a change of approximately 6.9 ng/Sm3. A prediction model equation was suggested based on such meteorological factors and related equations that showed a 30% error with statistical verification. Conclusions: Follow-up research is required to reduce the prediction error. In addition, phytoncide data for each region can be acquired by applying actual regional phytoncide data and the prediction technique proposed in this study.

Infiltration Rate of Some Upland Soils in Korea (우리나라 밭토양의 수분침투속도(水分浸透速度)에 관하여)

  • Jung, Y.S.;Ryu, K.S.;Im, J.N.
    • Korean Journal of Soil Science and Fertilizer
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    • v.13 no.1
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    • pp.1-6
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    • 1980
  • The infiltration rates of the upland soils on hill side slope were investigated in situ using rainulator of which rainfall intensity was 100mm/hr. The soil moisture profile after the water infiltration was compared with that calculated from Youngs' equation. The results obtained are as follows: 1. Time required for infiltration rate to reach constant during rainfall was 15 to 25 min. The infiltration rate measured after 30 min was considered to be final infiltration rate. 2. The final infiltration rates of clay soils were lower than 10mm/hr., loamy soils 10 to 20., coarse loamy soils 20 to 30, and sandy soils higher than 30mm/hr., respectively. 3. The saturated hydraulic conductivity of the surface soil of Samgag sandy loam was 0.47mm/min., Songjeong clay loam0.16 mm/min., and Jeonnam silty clay loam 0.14mn/min., respectively. 4. The soil moisture profile calculated from Young's equation was in close agreement with measured in situ.

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Numerical Model of One-Dimensional Advection-Diffusion Equation Applying Split-Operator Method (연산자 분리기법에 의한 1차원 이송-확산방정식의 수치모형)

  • Lee, Jeong-Gyu;Gang, Chang-Gu;Lee, Jong-In
    • Journal of Korea Water Resources Association
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    • v.30 no.2
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    • pp.143-154
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    • 1997
  • A numerical model for solving advection-diffusion equation is presented by splitoperator method combining the Holly-Preissmann scheme with a fifth-degree interpolating polynomial for advection operator and the explicit scheme porposed by Hobson et al. for diffusion operator. To examine the developed model, the obtained numerical solutions are compared with both the analytic solution and those from the existing models for the instantaneous source (Gaussian hill) and the continuous source (advanced front) at upstream boundary with constant velocity and diffusivity condition. For the various cases having different Courant and Peclet numbers, it is shown that the present study provides stable solutions even for Courant numbers exceeding one. The result obtained by the present study also agree well with existing analytical solutions for both cases. The proposed explicit scheme somewhat releases the conventional restriction of explicit schemes for determining the time step size and provides satisfactory results for relatively large time step size.

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A Study on Optimization of Motion Parameters and Dynamic Analysis for 3-D.O.F Fish Robot (3 자유도 물고기 로봇의 동적해석 및 운동파라미터 최적화에 관한 연구)

  • Kim, Hyoung-Seok;Quan, Vo Tuong;Lee, Byung-Ryong;Yu, Ho-Yeong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.33 no.10
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    • pp.1029-1037
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    • 2009
  • Recently, the technologies of mobile robots have been growing rapidly in the fields such as cleaning robot, explosive ordnance disposal robot, patrol robot, etc. However, the researches about the autonomous underwater robots have not been done so much, and they still remain at the low level of technology. This paper describes a model of 3-joint (4 links) fish robot type. Then we calculate the dynamic motion equation of this fish robot and use Singular Value Decomposition (SVD) method to reduce the divergence of fish robot's motion when it operates in the underwater environment. And also, we analysis response characteristic of fish robot according to the parameters of input torque function and compare characteristic of fish robot with 3 joint and fish robot with 2 joint. Next, fish robot's maximum velocity is optimized by using the combination of Hill Climbing Algorithm (HCA) and Genetic Algorithm (GA). HCA is used to generate the good initial population for GA and then use GA is used to find the optimal parameters set that give maximum propulsion power in order to make fish robot swim at the fastest velocity.

Dynamic Analysis of a Rotating System Due to the Effect of Ball Bearing Waviness (I) -Vibration Analysis- (Waviness가 있는 볼베어링으로 지지된 회전계의 동특성 해석 (II)-안정성 해석 -)

  • Jeong, Seong-Weon;Jang, Gun-Hee
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.12
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    • pp.2647-2655
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    • 2002
  • This research presents an analytical model to investigate the stability due to the ball bearing waviness i n a rotating system supported by two ball bearings. The stiffness of a ball bearing changes periodically due to the waviness in the rolling elements as the rotor rotates, and it can be calculated by differentiating the nonlinear contact forces. The linearized equations of motion can be represented as a parametrically excited system in the form of Mathieu's equation, because the stiffness coefficients have time -varying components due to the waviness. Their solution can be assumed as a Fourier series expansion so that the equations of motion can be rewritten as the simultaneous algebraic equations with respect to the Fourier coefficients. Then, stability can be determined by solving the Hill's infinite determinant of these algebraic equations. The validity of this research is proved by comparing the stability chart with the time responses of the vibration model suggested by prior researches. This research shows that the waviness in the rolling elements of a ball bearing generates the time-varying component of the stiffness coefficient, whose frequency is called the frequency of the parametric excitation. It also shows that the instability takes place from the positions in which the ratio of the natural frequency to the frequency of the parametric excitation corresponds to i/2 (i=1,2,3..).

Stability Analysis of a Rotating System Due to the Effect of Ball Bearing Waviness (Waviness가 있는 볼베어링으로 지지된 회전계의 안정성 해석)

  • 정성원;장건희
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.05a
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    • pp.181-189
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    • 2002
  • This research presents an analytical model to investigate the stability due to the ball bearing waviness in a rotating system supported by two ball bearings. The stiffness of a ball bearing changes periodically due to the waviness in the rolling elements as the rotor rotates, and it can be calculated by differentiating the nonlinear contact forces. The linearized equations of motion can be represented as a parametrically excited system in the form of Mathieu's equation, because the stiffness coefficients have time-varying components due to the waviness. Their solution can be assumed as a Fourier series expansion so that the equations of motion can be rewritten as the simultaneous algebraic equations with respect to the Fourier coefficients. Then, stability can be determined by solving the Hill's infinite determinant of these algebraic equations. The validity of this research is proved by comparing the stability chart with the time responses of the vibration model suggested by prior researches. This research shows that the waviness in the rolling elements of a ball bearing generates the time-varying component of the stiffness coefficient, whose frequency is called the frequency of the parametric excitation. It also shows that the instability takes place from the positions in which the ratio of the natural frequency to the frequency of the parametric excitation corresponds to i/2 (i= 1,2,3..).

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Effect of Capsaicin on Delayed Rectifier $K^+$ Current in Adult Rat Dorsal Root Ganglion Neurons

  • Hahn, Jung-Hyun;Chung, Sung-Kwon;Bang, Hyo-Weon
    • The Korean Journal of Physiology and Pharmacology
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    • v.4 no.1
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    • pp.9-14
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    • 2000
  • $K^+$ currents play multiple roles in the excitability of dorsal root ganglion (DRG) neurons. Influences on these currents change the shape of the action potential, its firing threshold and the resting membrane potential. In this study, whole cell configuration of patch clamp technique had been applied to record the blocking effect of capsaicin, a lipophilic alkaloid, on the delayed rectifier $K^+$ current in cultured small diameter DRG neurons of adult rat. Capsaicin reduced the amplitude of $K^+$ current in dose dependent manner, and the concentration-dependence curve was well described by the Hill equation with $K_D$ value of $19.1{\mu}M.$ The blocking effect of capsaicin was reversible. Capsaicin $(10 {\mu}M)$ shifted the steady-state inactivation curve in the hyperpolarizing direction by about 15 mV and increased the rate of inactivation. The voltage dependence of activation was not affected by capsaicin. These multiple effects of capsaicin may suggest that capsaicin bind to the region of $K^+$ channel, participating in inactivation process.

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Single Frequency GPS Relative Navigation for Autonomous Rendezvous and Docking Mission of Low-Earth Orbit Cube-Satellites

  • Shim, Hanjoon;Kim, O-Jong;Yu, Sunkyoung;Kee, Changdon;Cho, Dong-Hyun;Kim, Hae-Dong
    • Journal of Positioning, Navigation, and Timing
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    • v.9 no.4
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    • pp.357-366
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    • 2020
  • This paper addressed a relative navigation method for autonomous rendezvous and docking of cube-satellites using single frequency Differential GPS (DGPS) under the intermittent communication between satellites. Since the ionospheric error of GPS measurement is variable depending on the visible satellites, a few meters error of relative navigation is occurred in the Low-Earth Orbit (LEO) environment. Therefore, it is essential to remove the ionospheric error to perform relative navigation. Besides, an intermittent communication period for receiving GPS measurements of the target satellite is limited for getting information every sampling time. To solve this problem, a method combining range domain DGPS and orbit propagation is proposed in this paper. The proposed method improves the performance of DGPS by using Hatch filter and solves an intermittent communication problem by estimating the relative position and velocity using Hill-Clohessy-Wiltshire Equation. Through the simulation, it is verified that the suggested algorithm provides the relative position error within RMS 0.5 m and the relative velocity error within RMS 3 cm/s. Furthermore, it has the advantage that it is suitable for real-time implementation using single-frequency GPS measurements and is computationally efficient.

Influence of Sulfur and Fluorine Compounds on the Growth and Yield of Rice Plants;I. Growth Retardation and Yield Reduction under Various Stressed Conditions in the Field (황화물(黃化物) 및 불화물(弗化物)이 수도생육(水稻生育)과 수량(收量)에 미치는 영향(影響);I. 오염지역(汚染地域)에서의 생육장해(生育障害) 및 수량감소(收量減少))

  • Park, Wan-Cheol;Shin, Eung-Bai;Kim, Kwang-Ho
    • Korean Journal of Environmental Agriculture
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    • v.6 no.2
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    • pp.53-65
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    • 1987
  • The study was performed to investigate the effect of gaseous emissions of sulfur dioxide and hydrogen fluoride on the growth of rice plants under stressed field conditions consisting of 88 industrial plants operating with 285 smoke stacks emitting pollutants. As for the relationship between yields and yield components it is believed that the panicles per hill is the single most important component affecting the rate of yield of the rice plant. Based on the standard partial regression coefficient analysis, panicles per hill has the largest contribution to yield and the average contribution of 54%. Other components such as spikelets per panicle, percent fertility and 1000 grain weight are also contributing factors to yield, although far less so. Fluorine content in the leaf appear to have more negative effect on panicles per hill, percent fertility and subsequent overall yield than does sulfur content in the leaf. It is constantly observed and interesting to note that fluorine and sulfur content in the leaf appears to have no effect on spikelets per panicle and 1000 grain weight. Reduction in yield seems to be affected mainly by panicles per hill which are, in turn, affected more by fluorine content in the leaf as demonstrated by the standard partial coefficient analysis. Regarding the prediction sum of the square of the regression equation, the lowest value was found when nine variables were used for the analysis. The variables taken into consideration were the monthly sulfur and fluorine content in the leaf as well as the monthly percent of leaf damage during the months of June, July and August. A significant correlation is found between the actual and predicted yields by the regression equations selected as a result of a prediction sum of the square analysis.

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Study on the Sheet Rolling by a Rigid-Plastic Finite Element Method Considering Large Deformation Formulation (강소성 대변형 유한요소법을 이용한 판재 압연연구)

  • 김동원;홍성인
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.1
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    • pp.145-153
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    • 1991
  • A numerical simulation of the nonsteady state rolling process in the plane strain condition is presented in the basis of the rigid-plastic finite element method by considering large deformation. In order to apply the large deformation theory to the numerical method for sheet rolling problems, constitutive equation relating 2nd-Piola Kirchhoff stress and Lagrangian strain which reflect geometrical nonlinearity is used. To confirm the validity of the developed algorithm, the analysis of the neutral flow region, roll separating force, torque, pressure and stress/strain distributions on the workpiece is conducted from the bite of the material until the steady state is reached. The computed results of the roll force and torque in the present finite element analysis are lower than those corresponding to small strain theory. The pressure distribution at the work piece-roll interface is found to show the typical 'friction hill' type only. The peak value in near the neutral region, however, is good agrements with the existing results. the neutral region, however, is good agrements with the existing results. The frictional force at the roll interface provide detailed information about the neutral point where the shear forces change direction. In addition, the analysis also includes the effect and influence of material condition, strip thickness, work roll diameter, as well as roll speed and lubricant on each deformation process.