• Title/Summary/Keyword: variational characteristics

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Design of Double E-Plane Bandpass Filters with Improved Stopband Characteristics (저지대역 특성이 개선된 이중 E-평면 대역통과 여파기의 설계)

  • 임재봉
    • Proceedings of the Optical Society of Korea Conference
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    • 1990.02a
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    • pp.248-251
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    • 1990
  • A new CAD program for double E-plane bandpass filters is developed based on the variational analysis method and the passband correction method combined with the synthesis procedures. By taking the widths of three narrow waveguide equally, we can design bandpass filters with best stopband characteristics.

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Characteristics of Summer Season Precipitation Motion over Jeju Island Region Using Variational Echo Tracking (변분에코추적법을 이용한 제주도 지역 여름철 강수계의 이동 특성 분석)

  • Kim, Kwonil;Lee, Ho-Woo;Jung, Sung-Hwa;Lyu, Geunsu;Lee, GyuWon
    • Atmosphere
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    • v.28 no.4
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    • pp.443-455
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    • 2018
  • Nowcasting algorithms using weather radar data are mostly based on extrapolating the radar echoes. We estimate the echo motion vectors that are used to extrapolate the echo properly. Therefore, understanding the general characteristics of these motion vectors is important to improve the performance of nowcasting. General characteristics of radar-based motions are analyzed for warm season precipitation over Jeju region. Three-year summer season data (June~August, 2011~2013) from two radars (GSN, SSP) in Jeju are used to obtain echo motion vectors that are retrieved by Variational Echo Tracking (VET) method which is widely used in nowcasting. The highest frequency occurs in precipitation motion toward east-northeast with the speed of $15{\sim}16m\;s^{-1}$ during the warm season. Precipitation system moves faster and eastward in June-July while it moves slower and northeastward in August. The maximum frequency of speed appears in $10{\sim}20m\;s^{-1}$ and $5{\sim}10m\;s^{-1}$ in June~July and August respectively while average speed is about $14{\sim}15m\;s^{-1}$ in June~July and $8m\;s^{-1}$ in August. In addition, the direction of precipitation motion is highly variable in time in August. The speed of motion in Lee side of the island is smaller than that of the windward side.

Analysis of dynamic behavior for truss cable structures

  • Zhang, Wen-Fu;Liu, Ying-Chun;Ji, Jing;Teng, Zhen-Chao
    • Steel and Composite Structures
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    • v.16 no.2
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    • pp.117-133
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    • 2014
  • Natural vibration of truss cable structures is analyzed based upon the general structural analysis software ANSYS, energy variational method and Rayleigh method, the calculated results of three methods are compared, from which the characteristics of free-vibration are obtained. Moreover, vertical seismic response analysis of truss cable structures is carried out via time-history method. Introducing three natural earthquake waves calculated the results including time-history curve of vertical maximal displacement, time-history curve of maximal internal force. Variation curve of maximal displacement of node along span, and variation curve of maximal internal force of member along span are presented. The results show the formulas of frequencies for truss cable structures obtained by energy variational method are of high accuracy. Furthermore, the maximal displacement and the maximal internal force occur near the 1/5 span point. These provide convenient and simple design method for practical engineering.

Formulation of a Singular Finite Element and Its Application (특이 유한요소의 구성과 응용)

  • Kim, Myung-Sik;Lim, Jang-Keun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.23 no.6 s.165
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    • pp.1018-1025
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    • 1999
  • For the effective analysis of two dimensional plane problems with geometrical discontinuities, singular finite element has been proposed. The element matrix equation was formulated on the basis of hybrid variational principle and Trefftz function sets derived consistently from the complex theory of plane elasticity by introducing a conformal mapping function. In order to suggest the accuracy characteristics of the proposed singular finite element, typical plane problems were analyzed and these results were compared with exact solutions. The singular finite element gives the comparatively exact values of stress concentration factors or stress intensity factors and can be effectively used for the analysis of mechanical structures containing various geometrical discontinuities.

A Note on the Hull Form Variational Methods (선형변환 방법에 대한 소고)

  • 이춘주;윤현세;유재문
    • Journal of the Society of Naval Architects of Korea
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    • v.40 no.1
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    • pp.63-68
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    • 2003
  • Systematic geometrical variation method of hull forms, such as "1 -Cp", "Swinging" and "Lackenby" are widely used in the early stage of a new design from those of a similar parent ship, which shows a better performance through the model test and/or sea trials. This method is simple and easy to modify original hull forms without changing the main characteristics. The shape of the prismatic curie can be easily varied by these methods, however, the frame line shape in the body plan can′t be generated easily, when the section shapes are complicated or have discontinuities or the mismatch of the body plan and the stem and stern profiles. To overcome this drawback of the hull form variations, a simple and useful method has been proposed in the present study.

FRACTIONAL HAMILTON-JACOBI EQUATION FOR THE OPTIMAL CONTROL OF NONRANDOM FRACTIONAL DYNAMICS WITH FRACTIONAL COST FUNCTION

  • Jumarie, Gyu
    • Journal of applied mathematics & informatics
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    • v.23 no.1_2
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    • pp.215-228
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    • 2007
  • By using the variational calculus of fractional order, one derives a Hamilton-Jacobi equation and a Lagrangian variational approach to the optimal control of one-dimensional fractional dynamics with fractional cost function. It is shown that these two methods are equivalent, as a result of the Lagrange's characteristics method (a new approach) for solving non linear fractional partial differential equations. The key of this results is the fractional Taylor's series $f(x+h)=E_{\alpha}(h^{\alpha}D^{\alpha})f(x)$ where $E_{\alpha}(.)$ is the Mittag-Leffler function.

Elastodynamic Control of Industrial Robotic Manipulators Using Piezoelectric Materials (압전재료를 이용한 산업용 로보트 매니퓰레이터의 동탄성 제어)

  • Choi, S.B.;Cheong, C.C.;Choi, I.S.;Lee, T.H.
    • Journal of the Korean Society for Precision Engineering
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    • v.10 no.4
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    • pp.54-63
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    • 1993
  • This paper presents the dynamic modeling and control methodology to arrest structural deflections of industrial robotic manipulators featuring elastic members retrofitted with surface bonded pizoelectric actuators and sensors. The cynamic modeling is accomplished by employing a variational theorem, prior to developing a finite element formulation. This finite element formulation accounts for both original robot member elements and also bonded piezoelectric material elements. The governing equation of motion is then modified by condensing the electric potential vectors and subsequently two different negative velocity feedback controllers are established; a constant-gain feedback controller and a constant- amplitude feedback controller. By adopting a Model P50 articulating industrial robot manufactured by Gerneral Electric Company, conputer simulations are underlaken in order to demonstrate superior performance characteristics to be accrued from this proposed methodology such as smaller deflections at the end-effector.

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Generalization of Keesom Transformation in Multipole-Multipole Interaction Potentials

  • 이천우
    • Bulletin of the Korean Chemical Society
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    • v.16 no.10
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    • pp.952-957
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    • 1995
  • In order to ease the treatment of anisotropic potential when developing the variational RRKM theory, we applied Fano-Racah's recoupling theory to the multipole-multipole interaction, resulting in the great simplification of the anisotropic potentials. The treatment appears as a generalization of Keesom transformation in case of dipole-dipole interaction and provides us with great insights to the characteristics of tensorial interactions in the multipole-multipole interaction system.

Dynamic Modeling and Analysis of Flexible Mechanism With Joint Clearance (유연한 기구의 틈새관절 모델링 및 해석방법에 관한 연구)

  • 홍지수;김호룡
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.12
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    • pp.3109-3117
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    • 1994
  • To operate a flexible mechanism in high speed its weight must be reduced as far as the structural strength does not decrease too much, but a light-weighted mechanism causes undesirable elastodynamic responses deteriorating the system performance. Besides, clearance within the connections of mechanisms causes rapid wear, increased noise and vibration. Even if the problems described above must be considered in the initial design stage, there has been no effective design process which takes account of the correlation between dynamic characteristics of flexible mechanism and the clearance effect at the joint. In this study, the generalized elastodynamic governing equations which include dynamic characteristics and boundary conditions of flexible mechanism are derived by variational calculus and solved by using FFM theory. To take the clearance effect at joint into account a new dynamic model is presented and also the method of modified stiffness/damping matrix is proposed to activate the dynamic clearance model, which cooperates with the developed governing equation very easily. As the results of this study, the proposed method(modified stiffness/damping matrix) to calculate clearance effect was proved to be superior to the existing one(force reaction method) in solution convergency and calculation performance. Besides this method can be easily adopted to the complex shape joint without calculation of reaction force direction.