• Title/Summary/Keyword: variational characteristics

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Vibration of Initially Stressed Beam with Discretely Spaced Multiple Elastic Supports

  • Park, Nam-Gyu;Lee, Seong-Ki;Kim, Hyeong-Koo;Park, Ki-Sung
    • Journal of Mechanical Science and Technology
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    • v.18 no.5
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    • pp.733-741
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    • 2004
  • Vibration behavior of an initially stressed beam on discretely spaced multiple elastic supports has been studied and a theoretical formulation of the system is derived using the variational principle. Unlike beams on an elastic foundation, discretely spaced supports can distort the beam mode shapes when the supports have rather large stiffness, i.e. usually expected beam modes cannot be obtained, but rather irregular mode shapes are observed. Conversely, irregular modes can be recovered by changing initial stress. Since support location is closely associated with the dynamic characteristics, this work also discusses eigenvalue sensitivity with respect to the support position and some numerical examples are investigated to illustrate the above findings.

An elastic contact algorithm in SPH by virtual work principle (SPH에 가상일 원리를 적용한 탄성 접촉 알고리즘)

  • Seo, Song-Won;Min, Oak-Key
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.1346-1351
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    • 2003
  • There is few research about contact problem in SPH because it is primarily suitable to analyze the large deformation problem. However, an elasto-plastic problem with small deformation need to be considered about contact characteristics. The numerical formulating methods for SPH is induced to be able to obtain solutions based on a variational method in contact problem. The contact algorithm presented is applied to the elastic impact problem in 1D and 2D. The results show thai an imaginary tension and a numerical instability which happen in impacting between different materials can be removed and contact forces which could not have been calculated are able to obtain.

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Finite-Element Method Analysis in Eigenmode of Microwave and Optical Waveguides (마이크로파 및 광도파관의 고유모드에 관한 유한요소법 해석)

  • 강길범;윤대일;김정기
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.14 no.4
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    • pp.321-328
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    • 1989
  • The propagation characteristics of dielectric waveguides has been analyzed by finite element method. We have proposed the finite element formutation of the variational expression in the three-component magnetic field based on Galerkin's method which seek for the propagation constant by a given value of frequency. In this approach, the divergence relation for H is satisfied and spurious modes does not appear and finite element solustions agree with the exact solutions. In order to varify the validity of the present method the numerical results for a rectangular waveguide partilly filled with dielectric are compared with other results.

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Characteristics of Recent Occurrence Frequency of Asian dust over the Source Regions - Analysis of the dust Occurrences since 2002 (최근의 황사 발원지에서의 먼지 발생 특성-2002년 이후 먼지발생 경향 분석)

  • Lee, Jong-Jae;Kim, Cheol-Hee
    • Atmosphere
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    • v.18 no.4
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    • pp.493-506
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    • 2008
  • In order to examine the variational features of Asian dust outbreak in recent years, observed WMO synop data were employed for the period from 1996 to 2007. We first divided Asian dust source regions into four subregions; 1) Taklamakan, 2) Gobi, 3) Inner Mongolia-Manchuria and 4) Loess, and the meteorogical variables such as wind speed, precipitation and threshold wind speed observed during the Asian dust outbreak period were compared with those during non-Asian dust period. The results showed that temporal variation of occurrence frequency of dust outbreak had a strong positive correlation with the frequency of strong wind speed and low precipitation in each of the 4 source regions. Spatial distributions of frequency of dust occurrence after 2002 showed increasing trend in Gobi and Inner Mongolia-Manchuria but decreasing trend in Loess region. This is showing a shift in main source region toward Northwest, especially since 2003.

A Study on the Performance Characteristics for Relief Port Shape of Oil Hydraulic Gear Pump (유압 기어펌프의 릴리프 홈 형상 변화에 따른 성능특성에 관한 연구)

  • 김철호;노춘경;정재연
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 1999.11a
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    • pp.114-120
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    • 1999
  • It is possible for a volume of fluid to become trapped in the space between two adjoining teeth and the tips of the teeth engage in Gear Pumu with involute teeth. This trapped fluid leads to several harmful results, for example fluctuating pressure and aeration of pump. In this study, hence, theoretical and experimental analyses on this 'Trapping' were accomplished as using relief port, one of the means for avoiding it. Also, the grasp and analysis on variational type of the internal pressure in parallel with above experiments are achieved so that hydrodynamic behaviors in pump were contemplated.

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Efficient Finite Element Heat Transfer Analysis by Decomposing a Domain and Radiation Boundaries (영역 및 복사 경계의 완전 분할을 통한 유한요소 열전달 해석의 효율화)

  • Shin, Eui-Sup;Kim, Yong-Uhn;Kim, Sung-Jun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.32 no.10
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    • pp.836-843
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    • 2008
  • An efficient domain/boundary decomposition method is applied for heat transfer problems with non-linear thermal radiation boundaries. The whole domain of solids or structures is considered as set of subdomains, an interface, and radiation interfaces. In a variational formulation, simple penalty functions are introduced to connect an interface or radiation interfaces with neighboring subdomains that satisfy continuity conditions. As a result, non-linear finite element computations due to the thermal radiation boundaries can be localized within a few subdomains or radiation interfaces. Therefore, by setting up suitable solution algorithms for the governing finite element equations, the computational efficiency can be improved considerably. Through a set of numerical examples, these distinguishing characteristics of the present method are investigated in detail.

Smoothed Particle Hydrodynamics Code Basics

  • MONAGHAN J. J.
    • Journal of The Korean Astronomical Society
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    • v.34 no.4
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    • pp.203-207
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    • 2001
  • SPH is the shorthand for Smoothed Particle Hydrodynamics. This method is a Lagrangian method which means that it involves following the motion of elements of fluid. These elements have the characteristics of particles and the method is called a particle method. A useful review of SPH (Monaghan 1992) gives the basic technique and how it can be applied to numerous problems relevant to astrophysics. You can get some basic SPH programs from http) /www.maths.monash.edu.au/jjm/sphlect In the present lecture I will assume that the student has studied this review and therefore understands the basic principles. In today's lecture I plan to approach the equations from a different perspective by using a variational principle.

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A study on the magnetic flux distribution of 3-phase 4-pole induction motor by finite element method (유한요소법에 의한 삼상유도전동기의 자속분포해석에 관한 연구)

  • 임달호;현동석;임태빈
    • 전기의세계
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    • v.30 no.4
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    • pp.219-226
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    • 1981
  • The magnetic field distribution in saturable iron part of electromagnetic energy conversion divices is defined by the nonlinear quasi-Poisson enquation that is described the electromagnetic field characteristics and satisfied the natural boundary condition. The solution of this equation is obtained by minimizing an energy functional by means of trial function that defined in triangular subregion of two-dimensional field region. As a result, the accuracy of the machine design is increased by use of its solution. In this respect, this study is developed the basic theory to analyze the magnetic flux distribution in saturable iron part and air gap of induction motor that its secondary part is short circuit by the variational principle, the minimized theory of energy functional, the application of F.E.M., and treatment of computer. As theoritical data compared with the practics, the validity of the theory in this study is supported by experimental findings.

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Prediction of Wave Transformation in the Kwangan Beach (광안해역에서의 파랑변형예측)

  • 박정철;김재중;김인철
    • Journal of Ocean Engineering and Technology
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    • v.15 no.2
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    • pp.6-10
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    • 2001
  • Water waves propagate over irregular bottom bathymetry are transformed by refraction, diffraction, shoaling, reflection etc. Principal factor of wave transform is bottom bathymetry, but in case of current field, current is another important factor which effect wave transformation. The governing equation of this study is develope as wave-current equation type to investigate the effect of wave-current interaction. It starts from Berkhoff's(1972) mild slope equation and is transformed to time-dependent hyperbolic type equation by using variational principal. Finally the governing equation is shown as a parabolic type equation by splitting method. This wave-current model was applied to the kwangan beach which is located at Pusan. The numerical simulation results of this model show the characteristics of wave transformation and flow pattern around the Kwangan beach fairly well.

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A dragonfly inspired flapping wing actuated by electro active polymers

  • Mukherjee, Sujoy;Ganguli, Ranjan
    • Smart Structures and Systems
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    • v.6 no.7
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    • pp.867-887
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    • 2010
  • An energy-based variational approach is used for structural dynamic modeling of the IPMC (Ionic Polymer Metal Composites) flapping wing. Dynamic characteristics of the wing are analyzed using numerical simulations. Starting with the initial design, critical parameters which have influence on the performance of the wing are identified through parametric studies. An optimization study is performed to obtain improved flapping actuation of the IPMC wing. It is shown that the optimization algorithm leads to a flapping wing with dimensions similar to the dragonfly Aeshna Multicolor wing. An unsteady aerodynamic model based on modified strip theory is used to obtain the aerodynamic forces. It is found that the IPMC wing generates sufficient lift to support its own weight and carry a small payload. It is therefore a potential candidate for flapping wing of micro air vehicles.