• Title/Summary/Keyword: the roots of equation

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A Study on the Transient Heat Transfer in Annular Fin with Uniform Thickness Considering Biot Number (Biot수를 고려한 균일두께의 환상휜에서의 과도열전달에 관한 연구)

  • Kim, Kwang-Soo
    • The Magazine of the Society of Air-Conditioning and Refrigerating Engineers of Korea
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    • v.14 no.2
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    • pp.138-149
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    • 1985
  • The heat diffusion equation for an annular fin is analyzed using Laplace transformations. The fin has a uniform thickness with its edge heat loss and two temperature profiles at the base such as a step change in temperature or heat flux. To obtain the exact solutions for temperature distribution, this paper can detect the eigenvalues which satisfy the roots of transcendental equations in above two cases during inverse Laplace transformations. The exact solutions for temperature and heat flux are obtained with the infinite Series by dimensionless factors. The solutions are developed for small and large values of times. These series solutions converge rapidly for large values of time, but slowly for small.

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A Study for the Available Adjustment Range of Gain at P, PI Control for the Retarded Processes (시간지연을 갖는 제어대상에 대한 P, PI 제어의 유효 게인 조정 범위에 관한 연구)

  • 강인철;최순만;최재성
    • Proceedings of the Korean Society of Marine Engineers Conference
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    • 2001.05a
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    • pp.207-212
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    • 2001
  • In this paper, a method to be able to decide the possible maximum gain of P, PI control for the retarded processes under stable condition is proposed. At first, adjustable parameter set causing stability limit are obtained based on the frequency domain condition which makes the roots of transfer function locate on the $j\omega$ axis. And the cut-in frequency $\omega{_p}$ to bring the parameter set to P control from PI control is derived by an equation with 2 parameters L and $T_m$ given, then $\omega{_p}$ is used to compute the maximum gain with stable condition. For the calculation, the controlled process of first order system with time delay element is introduced and all parameters are presumed to be time invariant.

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A Study on the Permissible Gain Ranges of the P and PI Controllers for the Retarded Processes (시간지연을 갖는 제어대상에 대한 P. PI제어의 유효 게인 조정 범위에 관한 연구)

  • 강인철;최순만;최재성
    • Journal of Advanced Marine Engineering and Technology
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    • v.25 no.5
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    • pp.1086-1090
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    • 2001
  • In this paper, a method deciding the permissible gains of the P and PT controllers for a retarded process under stable condition is proposed. For analysis, the controlled process is assumed to be first-order system with time delay. At first, the adjustable parameter sets causing stability limit are obtained based on the frequency domain condition which makes the roots of the characteristic equation locate on the imaginary axis. And the cut-in frequency ${\omega}_p$ to bring the parameter set to P control from PI control is derived is derived in terms of L and $T_m$ then ${\omega}_p$ is used to compute the maximum gain with stable condition. The results indicate that the permissible controller gains can be described by a unique if parameters L and $T_m$ are know.

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Biomass Estimation of Shrub Lindera obtusiloba by Allometry

  • Mun, Hyeong-Tae
    • Journal of Ecology and Environment
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    • v.29 no.5
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    • pp.485-488
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    • 2006
  • Allometric equations for biomass measurement of the shrub species, Lindera obtusiloba, were developed. The allometric equations between $(BD)^2H$ and dry weight of leaves ($W_I$), stems and branches ($W_{sb}$), roots ($W_r$) and total weight ($W_t$) of the Lindera obtusiloba were as follows: $W_I=0.7318\;(BD^2H)^{0.6108},\;W_{sb}=0.6067(BD^2H)^{0.8355},\;W_r=0.4524(BD^2H)^{0.7608},\;W_t=1.672 (BD^2H)^{0.7664}$. The $R^2s$ between $(BD)^2H\;and\;W_I,\;W_{sb},\;W_r\;and\;W_t$ of the Lindera obtusiloba were 0.9251, 0.9571, 0.9353 and 0.9546, respectively. Root weight of this Lindera obtusiloba was about 38% of the aboveground biomass.

Development of Automated Design Program for Electric Railway Pole Foundation (전철주기초 설계 자동화 프로그램 개발)

  • Kim, Jung-Moo;Chung, Won-Yong;Jeon, Yun-Bae;An, Seung-Hwa;Song, Kyu-Seok;Kim, Jong-Nam;Lee, Su-Hyung
    • Proceedings of the KSR Conference
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    • 2010.06a
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    • pp.692-697
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    • 2010
  • In this paper, a design program for electric railway pole foundation was developed by applying the estimation study performed by Korean Railway. There are two kinds of shapes in the cross-section of electric railway pole foundation: rectangle and circle. In foundation designing, The rectangular foundation should be satisfied with vertical, horizontal and moment equilibrium equations. On the other hand, the circular foundation should be satisfied with horizontal and moment equilibrium equations. The design program was coded into MFC(Microsoft Foundation Class) by MS Visual C. The equation's roots in the program were obtained by Incremental Search method. Dialog and property sheet(Wizard Mode) input windows were selected for user-friendliness. The biggest advantage of this program is to find an optimum depth in a given section.

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Public Key Cryptosystem Based on Jordan Form (Jordan 형식을 이용한 공개키 암호체계)

  • Lee, Hee-Jung
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.15 no.4
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    • pp.101-105
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    • 2005
  • Recently a new public key cryptosystem based on a diagonal matrix has been proposed by Zheng. This system uses eigenvalues as a long-term key and random numbers as session key generators. However, there are a couple of flaws in that system. In this paper, we propose a new algorithm in which those flaws are all fixed. Our scheme is based on modular equations over a composite and uses a matrix of Jordan form. We also analyze the security of it.

The multiple Control Law Design of the Variable Structure Control for Angular Position Control of the Robot Arm with an Indirect Driving Joint Using Balance of the Inertial Moment (관성모멘트의 균형을 이용하는 간접구동관절을 갖는 로보트아암의 각위치 제어를 위한 가변구조제어기의 다중 제어법칙 설계)

  • Kim, Joong-Wan;Kang, Dae-Ki
    • Journal of the Korean Society for Precision Engineering
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    • v.13 no.2
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    • pp.76-83
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    • 1996
  • We have developed the unconventional robot arm which is composed of the two main parts, one is a ball screw and the other is a robot arm. The dynamic systems of the robot arm and ball screw are unstable systems coupled with each other. The ball screw mechanism is unstable system but controllable system. The robot arm's dynamics is quasi stable system when ball screw's angular position is zero, else, unstable system. Our system has the duality between stability and controllability at the view point of control. This duality causes difficulty to control of the robot arm using normal control law. We have investigated the location of the characteristic roots of the dynamic equation. And we have found out that the best condition for the control of the arm is quasi stable state. In this paper, we have proposed multiple control laws which are consist of three components to guarantee the stability and controllability simultaneously. The computer simulations were carried out based on VSC about the angular position control of the robot arm, and it is confirmed that the good performances could be obtained by using new controller.

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Economic Injury Levels of Spoladea recurvalis on Beet in the Plastic Greenhouse (비트 흰띠명나방의 경제적 피해수준 설정)

  • Kim, Ju;Choi, In-Young;Lee, Sang-Koo;Lim, Ju-Rak;Lee, Jang-Ho;Cheong, Seong-Soo;Lee, Sang-Guei
    • The Korean Journal of Pesticide Science
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    • v.18 no.3
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    • pp.175-180
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    • 2014
  • This study was carried out to determine the economic injury level and economic threshold level on beet (Beta vulgaris L.) infested with Spoladea recurvalis in the plastic greenhouse condition in 2010. The second instar larvae of S. recurvalis were inoculated with 7 different density levels on the each 10 beet plants as a replication. Injury levels of beet leaves and density of S. recurvalis were increased with the inoculation density of S. recurvalis. However, yield and marketable commodity of beet were decreased. Linear relationship between the percent yield reduction (Y) of beet leaves and different infestation densities of S. recurvalis (X) was estimated by the following equation Y = 1.226x + 3.36. Based on the relationships between the densities of S. recurvalis larvae and yield index of beet leaves, the number of second instar larvae which caused 5% loss of yield, economic threshold level was estimated as 1.1 larvae/10 plants for the planting 10 days. The percent yield reduction (Y) of beet roots infested with different densities of S. recurvalis (X) estimated by the following equation Y = 1.537x + 1.4634 after inoculation for 10 days at 3rd harvesting of leaves. Based on the relationships between the densities of S. recurvalis larvae and yield index of beet roots, the number of second instar larvae which caused 5% loss of yield, economic threshold level was estimated as 6.4 larvae/10 plants for the planting 10 days.

Correlation of Above- and Below-ground Biomass Between Natural and Planted Stands of Pinus densiflora for. erecta of One Age-class in Gangwon Province (강원지역 1영급 금강소나무에 대한 천연림과 인공림의 지상부와 지하부 상관관계)

  • Na, Sung-Joon;Kim, Chang-Soo;Woo, Kwan-Soo;Kim, Hye-Jin;Lee, Do-Hyung
    • Journal of Korean Society of Forest Science
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    • v.100 no.1
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    • pp.42-51
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    • 2011
  • This study was conducted to analyze correlation of above- and below-ground biomass and to drive regression equation suitable for estimating standing tree biomass between natural and planted stands of Pinus densiflora for. erecta of one age-class in Gangwon province, Republic of Korea. Total 40 trees, 10 from the naturally regenerated and 10 from the planted stands in each of two studied sites, were uprooted to measure height, diameter at root color (DRC), and the dry weights of stem, branches, and needles. The length, weight, and volume of the main and horizontal roots were also measured. Most of the above-ground traits except height were highly correlated with most of the other above-ground traits and the below-ground traits except the length of roots (p < 0.05). Especially, the DRC, which is measured easily on the standing tree, was highly correlated with most of the traits in all studied stands (p < 0.01). Thus, the DRC would be the most desirable trait to estimate not only above-ground biomass but also below-ground biomass. However, height was not a good variable to estimate standing tree biomass of Pinus densiflora for. erecta of one age-class in Gangwon province because it was not correlated with most of other traits. Regression equations derived from the current study could be used effectively as a basic data for estimating above-ground and below-ground biomass using DRC.

The geometry of Sulbasu${\={u}}$tras in Ancient India (고대 인도와 술바수트라스 기하학)

  • Kim, Jong-Myung;Heo, Hae-Ja
    • Journal for History of Mathematics
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    • v.24 no.1
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    • pp.15-29
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    • 2011
  • This study was carrying out research on the geometry of Sulbas${\={u}}$tras as parts of looking for historical roots of oriental mathematics, The Sulbas${\={u}}$tras(rope's rules), a collection of Hindu religious documents, was written between Vedic period(BC 1500~600). The geometry of Sulbas${\={u}}$tras in ancient India was studied to construct or design for sacrificial rite and fire altars. The Sulbas${\={u}}$tras contains not only geometrical contents such as simple statement of plane figures, geometrical constructions for combination and transformation of areas, but also algebraic contents such as Pythagoras theorem and Pythagorean triples, irrational number, simultaneous indeterminate equation and so on. This paper examined the key features of the geometry of Sulbas${\={u}}$tras and the geometry of Sulbas${\={u}}$tras for the construction of the sacrificial rite and the fire altars. Also, in this study we compared geometry developments in ancient India with one of the other ancient civilizations.