• Title/Summary/Keyword: variational characteristics

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Transverse vibrations of simply supported orthotropic rectangular plates with rectangular and circular cut-outs carrying an elastically mounted concentrated mass

  • Avalos, D.R.;Larrondo, H.A.;Laura, P.A.A.
    • Structural Engineering and Mechanics
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    • v.7 no.5
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    • pp.503-512
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    • 1999
  • Practicing a hole or an orifice through a plate or a slab constitutes a very frequent engineering situation due to operational reasons imposed on the structural system. From a designer's viewpoint it is important to know the effect of this modification of the mechanical system upon its elastodynamic characteristics. The present study deals with the determination of the lower natural frequencies of the structural element described in the title of the paper using a variational approach and expressing the displacement amplitude of the plate in terms of the double Fourier series which constitutes the classical, exact solution when the structure is simply supported at its four edges.

Buckling and vibration of laminated composite circular plate on winkler-type foundation

  • Afsharmanesh, B.;Ghaheri, A.;Taheri-Behrooz, F.
    • Steel and Composite Structures
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    • v.17 no.1
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    • pp.1-19
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    • 2014
  • Buckling and vibration characteristics of circular laminated plates under in-plane edge loads and resting on Winkler-type foundation are solved by the Ritz method. Inclusive numerical data are presented for the first three eigen-frequencies as a function of in-plane load for different classical edge conditions. Moreover, the effects of fiber orientation on the natural frequencies and critical buckling loads of laminated angle-ply plates with stacking sequence of $[({\beta}/-{\beta}/{\beta}/-{\beta})]_s$, are studied. Also, selected deformation mode shapes are illustrated. The correctness of results is established using finite element software as well as by comparison with the existing results in the literature.

A study on the Relationship between the Size of Defect and the Intensity of Eddy Current Signal in Heat Exchanging Tube made of STS 304. (Stainless강(鋼) 전열관(傳熱管)에 있어서 과전류(過電流) 신호강도(信號强度)와 결함(缺陷)크기와의 관계에 관한 연구(硏究))

  • Han, E.K.;Eom, H.S.;Park, I.G.;Choi, M.S.
    • Journal of the Korean Society for Nondestructive Testing
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    • v.6 no.2
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    • pp.7-16
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    • 1987
  • Eddy Current Examination is expected as the effective technique for nondestructive inspection of steam generator and various kinds of heat exchanging tubes made of STS - 304. In Case of E. C. T, a study on the various factors which have an effect on coil impedance is very important to the sensitivity of defect detection and the ratio of signal to noise. Therefore, this study analyzed coil impedance by means of the variational principle, the minimized theory of energy functional and the application of Finite Element Method. Really by using E. C. T, the relationship between the size of defects and the intensity of Eddy Current Signals can be obtained. Signal intensity becomes maximum at certain frequency. This frequency is affected by the characteristics and the position of signal sources.

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Stability Analysis of Composite Material Pipes Conveying Fluid (유체유동에 의한 복합재료 파이프의 안정성 해석)

  • 최재운;송오섭
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.11 no.8
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    • pp.314-321
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    • 2001
  • Static and oscillatory loss of stability of composite pipes conveying fluid is Investigated. The theory of than walled beams is applied and transverse shear. rotary inertia, primary and secondary warping effects are incorporated. The governing equations and the associated boundary conditions are derived through Hamilton's variational principle. The governing equations and the associated boundary conditions are transformed to an eigenvlaue problem which provides the Information about the dynamic characteristics of the system. Numerical analysis is performed by using extended Gelerkin method. Variation of critical velocity of fluid with fiber angles and mass patios of fluid to pipe Including fluid is investigated.

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Syntheses and Characteristics of Intermolecular Charge-Transfer Complex Dyes (분자간 전하이동형 기능성 색소의 합성과 물성)

  • Kim, Sung Hoon;Lee, Soon Nam;Lim, Yong Jin
    • Textile Coloration and Finishing
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    • v.4 no.1
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    • pp.21-25
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    • 1992
  • The charge-transfer(CT) complexes derived from various donors and acceptors were evaluated as coloring matter. Dyes absorbing light in the region from the visible to the near-infrared wavelengths were synthesized. In order to determine the molar ratio of the donor to the acceptor in the CT complex in the solution, the continuous variational method was applied to each system. A 1:1 correspondence between the donor and the acceptor molecules in the CT complex in the solution is established. Color development properties in paper were examined. The longer the exposure time at constant temperature, the deeper the strength of color in paper. The strength of color at high temperature was decreased, because sublimed CT dyes in paper were migrated out side of paper.

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Study for Variational Characteristics of Brain According to Human Emotion -Human Emotion by Auditory Perception- (감성에 따른 뇌의 변화 특성에 대한 연구 -청각감각에 의한 감성-)

  • Whang, Min-Cheol;Sohn, Jin-Hun;Kim, Chul-Jung
    • Journal of Korean Institute of Industrial Engineers
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    • v.23 no.3
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    • pp.609-619
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    • 1997
  • The concept of human emotion is recently demanded to be imbedded in industrial product and environment for enhancing quality of life. Human emotion is attempted to be qualified and quantified by physiological measurements. EEG variation, one of the physiological measurement, is observed to characterize psychological response in this study. This study is to find function and process of brain according to emotion. Twenty university students participated in this study and experienced positive and negative emotion by auditory stimulus. Delta, theta, alpha and beta waves showed characteristic variation in normalized sense according to positive and negative emotion. Local area showing significant difference between positive and negative emotion decreases with stimulus duration. Delta, theta and beta waves increase with negative emotion while alpha wave does with positive emotion.

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Collapse analysis of shallow tunnel subjected to seepage in layered soils considering joined effects of settlement and dilation

  • Yang, X.L.;Zhang, R.
    • Geomechanics and Engineering
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    • v.13 no.2
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    • pp.217-235
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    • 2017
  • The stability prediction of shallow buried tunnels is one of the most difficult tasks in civil engineering. The aim of this work is to predict the state of collapse in shallow tunnel in layered soils by employing non-associated flow rule and nonlinear failure criterion within the framework of upper bound theorem. Particular emphasis is first given to consider the effects of dilation on the collapse mechanism of shallow tunnel. Furthermore, the seepage forces and surface settlement are considered to analyze the influence of different dilation coefficients on the collapse shape. Two different curve functions which describe two different soil layers are obtained by virtual work equations under the variational principle. The distinct characteristics of falling blocks up and down the water level are discussed in the present work. According to the numerical results, the potential collapse range decreases with the increase of the dilation coefficient. In layered soils, both of the single layer's dilation coefficient and two layers' dilation coefficients increase, the range of the potential collapse block reduces.

Dynamic characteristics and response analysis of accelerating underwater structures

  • Liu, Zhengxing;Williams, F.W.;Jemah, A.K.
    • Structural Engineering and Mechanics
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    • v.6 no.6
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    • pp.613-632
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    • 1998
  • A coupling system for a structure accelerating through a fluid is considered which is composed of the structure and the fluid in a finite surrounding volume. Based on the variational principle, the finite element equations of hydrodynamic pressure and structural elastic vibration are deduced. A numerical method is given for the dynamic character and response of the structure which takes the coupled fluid into account. The effect of axial inertial forces on the dynamic character and response of rapidly accelerating structures is also considered.

The Stability of Composite Pipes Conveying Fluid (유체유동에 의한 복합재료 파이프의 안정성 연구)

  • 최재운;송오섭
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.05a
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    • pp.904-910
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    • 2001
  • Static and oscillatory loss of stability of composite pipes conveying fluid is investigated. The theory of thin walled beams is applied and transverse shear, rotary inertia, primary and secondary warping effects are incorporated. The governing equations and the associated boundary conditions are derived through Hamilton's variational principle. The governing equations and the associated boundary conditions are transferred to eigenvalues problem which provides the information about the dynamic characteristics of the system. Numerical analysis is performed by using extended Gelerkin method. Critical velocity of fluid is investigated by increasing fiber angle and mass ratio of fluid to pipe including fluid.

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Variational Characteristics of Nutrient Loading in Inflow Streams of the Yongdam Reservoir Using Flow-Loading Equation (유량-부하량 관계식을 이용한 용담호 유입하천의 영양염류 유입량 변동특성)

  • Kim, Tae Geun
    • Journal of Environmental Impact Assessment
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    • v.15 no.2
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    • pp.129-138
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    • 2006
  • The measurements of nutrient and runoff in 4 streams have been performed before and after the rainfall in order to estimate nutrient loads in the Yongdam reservoir. The equations for the relationship between the flow and the loads in each stream could be estimated by the regression analysis. R2 of TN showed the range from 0.95 to 0.99 and the range of R2 for TP was 0.90~0.95 based on the results of the regression analyses. In 2002, total loadings from the upstream to the Yongdam reservoir were TN 1,175 ton/year, TP 69 ton/year. There were 64.9% of TN and 72.3% of TP during 4 months as the flood season. Due to the rainfall, the load of TP was higher than one of TN in Yongdam reservoir.