• Title/Summary/Keyword: boundary characteristics

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Free vibration analysis of functionally graded plates with temperature-dependent properties using various four variable refined plate theories

  • Attia, Amina;Tounsi, Abdelouahed;Bedia, E.A. Adda;Mahmoud, S.R.
    • Steel and Composite Structures
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    • v.18 no.1
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    • pp.187-212
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    • 2015
  • In this paper, various four variable refined plate theories are presented to analyze vibration of temperature-dependent functionally graded (FG) plates. By dividing the transverse displacement into bending and shear parts, the number of unknowns and governing equations for the present model is reduced, significantly facilitating engineering analysis. These theories account for parabolic, sinusoidal, hyperbolic, and exponential distributions of the transverse shear strains and satisfy the zero traction boundary conditions on the surfaces of the plate without using shear correction factors. Power law material properties and linear steady-state thermal loads are assumed to be graded along the thickness. Uniform, linear, nonlinear and sinusoidal thermal conditions are imposed at the upper and lower surface for simply supported FG plates. Equations of motion are derived from Hamilton's principle. Analytical solutions for the free vibration analysis are obtained based on Fourier series that satisfy the boundary conditions (Navier's method). Non-dimensional results are compared for temperature-dependent and temperature-independent FG plates and validated with known results in the literature. Numerical investigation is conducted to show the effect of material composition, plate geometry, and temperature fields on the vibration characteristics. It can be concluded that the present theories are not only accurate but also simple in predicting the free vibration responses of temperature-dependent FG plates.

Modal Analysis and Experiment of a Simply-supported Beam with Non-uniform Cross Sections (불균일 단면을 갖는 단순지지 보의 모달해석 및 실험)

  • Kim, In-Woo;Ryu, Bong-Jo;Kim, Youngshik
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.16 no.12
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    • pp.8654-8664
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    • 2015
  • Beam-type structures with non-uniform cross sections are widely used in mechanical, architectural, and civil engineering fields. This paper deals with dynamic characteristics and vibration problems. Governing equations are first derived by using local coordinates. Their solutions are then assumed by using Galerkin's mode summation method. Bisection method is also applied in solving the determinant of the matrix which can provide natural frequencies. Whereas finite element methods adopt admissible functions satisfying only geometric boundary condition, in this study we apply Galerkin's mode summation method which uses eigen-functions satisfying both governing equations and boundary conditions. Modal analysis and experimental tests are finally performed using simply-supported beams with four different non-uniform cross-sections. Our analytical results then show good agreement with experimental ones.

Vibration Characteristics of Pipe Element Containing Moving Medium by a Transfer Matrix (전달행렬을 이용한 유동매체를 가진 배관요소의 진동특성 분석)

  • 이영신;천일환
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.1
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    • pp.366-375
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    • 1991
  • In this study, vibrational behavior of uniform pipe carrying a moving medium is studied by using a transfer matrix and the displacement function derived from the conventional beam theory. In various boundary conditions, flow velocity and mechanical property change of the variation of natural frequency are investigated. The Coriolis term in the original differential equation of motion has been ignored in the investigation. This method is used to study the variation of natural frequency with flow velocity for clamped-clamped, cantilevered, clamped-pinned, pinned-pinned, free-free straight pipe element. It is shown that clamped-clamped, free-free pipe have the highest natural frequency and critical velocity values while cantilevered pipe have the smallest natural frequency for the same mechanical properties. From the vibration effects of mechanical property variation, it is shown that bending stiffness and pipe length variation has large influence on natural frequency and critical velocity. Since the order of transfer matrix is not changed with boundary conditions of pipe element, this method proposed can be easily applied to personal-computer for vibration analysis of pipe element. Furthermore, this method can be extended to three-dimensional system by using a coordinate transformation for the analysis of piping systems.

Improvement of Chattering Phenomena in Sliding Mode Control using Fuzzy Saturation Function (퍼지 포화함수를 이용한 슬라이딩 모드 제어의 채터링 현상 개선)

  • Yoo, Byung-Kook
    • Journal of the Korean Institute of Intelligent Systems
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    • v.12 no.2
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    • pp.164-170
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    • 2002
  • Sliding mode control, as a typical method of variable structure control, has the robust characteristics for the uncertainty and the disturbance of the nonlinear system. Because, however, sliding mode control input includes a sign function that Is discontinuous on the predefined switching surface, its applications are primarily limited by the need of alleviation or reduction of chattering. In this paper, we propose a chattering alleviation strategy based on a special nonlinear function and a fuzzy system. By using the proposed control scheme, we can reduce the steady state error. Its tracking performance is as fast as that of conventional method using the fixed boundary layer. Especially, in the proposed method, we can adjust the trade-off between the steady state error and the degree of chattering by regulating the proper range of the output variable of the fuzzy system. To verify the validity of the proposed algorithm, the analysis of the control method using the fixed boundary layer and the computer simulations are shown to compare with them.

Nonlinear Dynamic Characteristics of Antisymmetric Laminated Shells (역대칭 적층쉘의 비선형 동적 특성에 관한 연구)

  • Park, Sung Jin;Mikami, Takashi;Kim, Young Jin
    • Journal of Korean Society of Steel Construction
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    • v.10 no.4 s.37
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    • pp.691-700
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    • 1998
  • Based on Von Karman-Donnell kinematic assumptions for laminated shells, the nonlinear vibration behaviour of antisymmetrically or asymmetrically laminated cross-ply circular cylindrical shells with clamped and simply-supported ends are studied by a multi-mode approach. A equation is formulated and satisfies the associated compatibility equation and all boundary conditions. The displacement function is assumed to take the form of the lowest linear vibration mode and to satisfy continuity of the circumferential displacement. The nonlinear vibration equation is derived by the Galerkin's method. And nonlinear frequency is obtained by using the harmonic balance method as a function of lamination parameters, material constants, aspect ratio and amplitude of vibration. The effect of initial imperfection is also included. Results of the non-linear vibration are presented for different amplitudes of initial imperfection and four sets of boundary conditions. Present results are compared well with existing analysis results.

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Frictional and Fatigue Characteristics of Journal Bearings by Ultrasonic Nanocrystal Surface Modification (UNSM) (초음파나노표면개질기술을 이용한 저널베어링 마찰 및 피로특성 연구)

  • Choi, Gab-Su;Darisuren, Shirmendagva;Lee, Seung-Chul;Kim, Jun-Hyong;Amanov, Auezhan;Pyun, Young-Sik
    • Tribology and Lubricants
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    • v.31 no.1
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    • pp.1-5
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    • 2015
  • In this study, we apply an ultrasonic nanocrystal surface modification (UNSM) technique to radial journal bearings (JBs) and disks made of SUJ2 and SCM440, respectively. We investigate frictional properties of untreated and UNSM-treated specimens using a ball-on-disk tester. We construct the Stribeck curve at the boundary, under mixed and full hydrodynamic lubrication conditions for the specimens using friction data obtained from JB tests. The friction at the boundary lubrication condition and the transition period to mixed lubrication condition on the UNSM-treated specimens is reduced, which improves the service life of JBs. The major effects of this reduction in the three lubrication regimes can be explained in the terms of improved mechanical properties and the presence of micro dimples. Moreover, we estimate the friction and fatigue properties of SCM440 specimens using a ball-on-disk specimen under dry and oil-lubricated conditions. Friction test results reveal that the UNSM-treated specimens show lower friction coefficient than the untreated specimens under both dry and oil-lubricated conditions. We evaluate the fatigue properties of SCM440 specimens by calculating the Hertzian stress with respect to the failure cycles. Fatigue tests results also reveal that the UNSM-treated specimens possess a longer fatigue life than the untreated specimens. The improved properties are effective in increasing the energy efficiency of bearings.

Characteristics of Infrared and Water Vapor Imagery for the Heavy Rainfall Occurred in the Korean Peninsula (한반도에서 발생하였던 집중호우 시 적외 및 수증기 영상의 특성)

  • Seong, Min-Gyu;Suh, Myoung-Seok
    • Korean Journal of Remote Sensing
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    • v.30 no.4
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    • pp.465-480
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    • 2014
  • In this study, we analyzed the spatio-temporal variations of satellite imagery for the two heavy rainfall cases (21 September, 2010, 9 August, 2011) occurred in the Korean Peninsula. In general, the possibility of strong convection can be increased when the region with plenty of moisture at the lower layer overlapped with the boundary between dark and bright area in the water vapor imagery. And the merging of convective cells caused by the difference in the moving velocities of two cells resulted in the intensification of convective activity and rainfall intensity. The rainfall intensity is more closely linked with the minimum cloud top temperature than the mean cloud top temperature. Also the spatio-temporal variations of rainfall intensity are impacted by the existence of merging processes. The merging can be predicted by the animation of satellite imagery but earlier detection of convective cells is almost impossible by using the infrared and water vapor imagery.

The Expression of Fantastic Body in Fashion Illustration (패션 일러스트레이션에 나타난 판타스틱 신체의 표현 분석)

  • Choi, Jung-Hwa
    • Fashion & Textile Research Journal
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    • v.11 no.6
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    • pp.867-877
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    • 2009
  • These days, the fantastic in opposition to classic beauty becomes a genre of creative body expression. The purpose of this study was to analyze the expressive characteristics of body types and meanings in recent fantastic fashion illustration. The method of this study was to analyze recent documentaries, fashion books, internet web site and so forth. The results were as follows: In literatures, pictures and movies, the category of the fantastic body's expressive types were classified as dominant mutant based on SF, multi body or fragment body by disruption, heterogeneous compound based on myth, personified humanoid and non substance in supernatural boundary. The dominant mutant based on SF was expressed image morphing, composition of machine image with body and modern metamorphosis of classic SF body. It means propensity to post-feminism and reservation of meaning analysis based on human unconsciousness. The multi body or fragment body by disruption in fashion illustration was expressed distorted composition of same body pictures, replacement of different bodies, deconstruction and partial omission of body and composition of meaning or non meaning images. It means permanence of self and basic narcissism. The heterogeneous compound based on myth was expressed general composition or optical illusion of various and aggressive animal motive. It means reinterpretation of original myth, metaphor of basic femme fatale, pursuit of permanence and sign of primitive mind in unconsciousness. The personified humanoid was expressed real human body description of mannequin or ball joint doll and anthropomorphism of robot image. It means representative satisfaction and nostalgia of childhood. The non substance in supernatural boundary was expressed grotesque description of ghost, zombie, vampire, angel, fairy, using of symbolic red, black color and non body. It means human's basic desire about immortality and taboo. Through the result of these study, the expression of fantastic body in fashion illustration will expend expressive method and we will understand human and cultural codes of today.

A Study on the Lineament Analysis Along Southwestern Boundary of Okcheon Zone Using the Remote Sensing and DEM Data (원격탐사자료와 수치표고모형을 이용한 옥천대 남서경계부의 선구조 분석 연구)

  • Kim, Won Kyun;Lee, Youn Soo;Won, Joong-Sun;Min, Kyung Duck;Lee, Younghoon
    • Economic and Environmental Geology
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    • v.30 no.5
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    • pp.459-467
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    • 1997
  • In order to examine the primary trends and characteristics of geological lineaments along the southwestern boundary of Okcheon zone, we carried out the analysis of geological lineament trends over six selected sub-areas using Landsat-5 TM images and digital elevation model. The trends of lineaments is determined by a minimum variance method, and the resulting geological lineament map can be obtained through generalized Hough transform. We have corrected look direction biases reduces the interpretability of remotely sensed image. An approach of histogram modification is also adopted to extract drainage pattern specifically in alluvial plains. The lineament extracting method adopted in this study is very effective to analyze geological lineaments, and that helps estimate geological trends associated various with the tectonic events. In six sub-areas, the general trends of lineaments are characterized NW, NNW, NS-NNE, and NE directions. NW trends in Cretaceous volcanic rocks and Jurassic granite areas may represent tension joints that developed by rejuvenated end of the Early Cretaceous left-lateral strike-slip motion along the Honam Shear Zone, while NE and NS-NNE trends correspond to fault directions which are parallel to the above Shear Zone. NE and NW trends in Granitic Gneiss are parallel to the direction of schitosity, and NS-NNE and NE trends are interpreted the lineation by compressive force which acted by right-lateral strike-slip fault from late Triassic to Jurassic. And in foliated Granite, NE and NNE trends are coincided with directions of ductile foliation and Honam Shear Zone, and NW-NNW trends may be interpreted direction of another compressional foliation (Triassic to Early Jurassic) or end of the Early Cretaceous tensional joints. We interpreted NS-NNE direction lineation is related with the rejuvenated Chugaryung Fault System.

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Analysis on the Wave Characteristics of Submerged Breakwater Considering Energy Dissipation of Seabed (해저면의 에너지 감쇠를 고려한 불투과 잠제의 파랑특성해석)

  • Kim Nam-Hyeong;Yang Soon-Bo;Park Min-Su;Kim Sang-Jin
    • Journal of the Korean Society for Marine Environment & Energy
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    • v.7 no.3
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    • pp.131-136
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    • 2004
  • The transmission coefficients of impermeable submerged breakwater on permeable bottom are computed numerically using a boundary element method. The analysis method is based on the wave pressure function with the continuity in the analytical region including fluid and structures. Wave motion over permeable bottom is simulated by introducing a linear dissipation coefficient and an added mass coefficient. The results indicate that the wave over permeable bottom travels being damped, and that transmission coefficients for permeable bottom are smaller than those for impermeable bottom, and result from the change of width and height of submerged breakwater.

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