• Title/Summary/Keyword: parabolic distribution

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Finite Element Vibration Analysis of Laminated Composite Folded Structures With a Channel Section using a High-order Shear deformation Plate Theory (고차전단변형 판이론을 이용한 채널단면을 갖는 복합적층 절판 구조물의 유한요소 진동 해석)

  • 유용민;장석윤;이상열
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.17 no.1
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    • pp.21-30
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    • 2004
  • This study deals with free vibrations of laminated composite structures with a channel section using finite element method. In this paper, the mixed finite element method using Lagrangian and Hermite interpolation functions is adopted and a high-order plate theory is used to analyze laminated composite non-prismatic folded plates with a channel section more accurately for free vibration. The theory accounts for parabolic distribution of the transverse shear stress and requires no shear correction factors supposed in the first-order plate theory. An 32×32 matrix is assembled to transform the system element matrices from the local to global coordinates using a coordinate transformation matrix, in which an eighth drilling degree of freedom (DOF) per node is appended to the existing 7-DOF system. The results in this study are compared with those of available literatures for the conventional and first-order plate theory. Sample studies are carried out for various layup configurations and length-thickness ratio, and geometric shapes of plates. The significance of the high-order plate theory in analyzing complex composite structures with a channel section is enunciated in this paper.

Evaluation of Skin Friction to Large Size Pneumatic Caissons (대형 뉴매틱케이슨의 주면마찰력 산정)

  • 홍원표;여규권;김태형
    • Journal of the Korean Geotechnical Society
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    • v.20 no.4
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    • pp.15-27
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    • 2004
  • In this study, skin friction evaluation methods developed f3r deep foundation system were investigated and a method that can properly evaluate the skin friction of large size pneumatic caisson was proposed. Especially, based on Hong Won-Pyo's method, new technique (Kn parameter method) was suggested for estimation of the skin friction. The $\lambda$ method used widely to pile foundation was also investigated fur the applicability of estimation of the skin friction of large size pneumatic caisson. To do this, the data measured from the pneumatic caissons installed as a substructure of main tower in the suspension bridge part of Youngjong Grand Bridge were utilized. The data show that the skin friction is proportional to the rate of sinking, and the skin friction distribution with depth is similar to parabolic type rather straight line, which is a type generally observed in pile foundation. The skin frictions predicted by the Kn and $\lambda$ methods were plotted with the measured data for comparisons. It is cleary shown that the skin frictions estimated by the proposed Kn parameter method are well matched with the measured data. That is, for the large size pneumatic caisson having wide base, the new technique developed from Hong Won-Pyo's method is more suitable for estimation of the skin friction rather than the $\lambda$ method.

The Effect of Heat on the Spiking Patterns of the Cells in Aplysia (군소 세포의 발화 형태에 미치는 열자극 효과)

  • Hyun, Nam-Gyu
    • Progress in Medical Physics
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    • v.18 no.2
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    • pp.73-80
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    • 2007
  • Fruitful findings have been produced from five out of sixty cells which were obtained from each 63 individual Aplisia caught at the Jeju coast. Spiking patterns of three out of five cells, such as relaxation oscillator, bursting within a short time of the inter-burst interval, chaotic bursting, period doubling sequences, bursting with long trains of action potentials separated by short silent periods, regular repeated beating or elliptic bursting, and silent states had been changed in order as the temperature was lowered to $10^{\circ}C\;from\;32^{\circ}C$. In the intervals of every about 40 minutes repeated ups and downs of temperature produced similar firing patterns at the allowable temperature ranges. The other two cells showed difference from these. The amplitudes of the action potentials of the two cells will not be highly decreased in 24 hours. Average spike frequencies, the inter-burst interval, peak to peak spike amplitude of action potentials, minimum potential values are compared and analyzed by using the computer programme. The spike frequencies according to temperature show the distribution of bell type, with maximal spike frequencies at intermediate temperatures and minimal ones at either end. The most common pattern consist of high spike frequency during failing and low one during rising temperatures.

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Static and Free Vibration Analysis of FGM Plates on Pasternak Elastic Foundation (Pasternak 탄성지반위에 놓인 점진기능재료 판의 정적 및 자유진동 해석)

  • Lee, Won-Hong;Han, Sung-Cheon;Park, Weon-Tae
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.29 no.6
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    • pp.529-538
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    • 2016
  • The simplified plate theory is presented for static and free vibration analysis of power-law(P) and sigmoid(S) Functionally Graded Materials(FGM) plates. This theory considers the parabolic distribution of the transverse shear stress, and satisfies the condition that requires the transverse shear stress to be zero on the upper and lower surfaces of the plate, without the shear correction factor. The simplified plate theory uses only four unknown variables and shares strong similarities with classical plate theory(CPT) in many aspects such as stress-resultant expressions, equation of motion and boundary conditions. The material properties of the plate are assumed to vary according to the power-law and sigmoid distributions of the volume fractions of the constituents. The Hamilton's principle is used to derive the equations of motion and Winkler-Pasternak elastic foundation model is employed. The results of static and dynamic responses for a simply supported FGM plate are calculated and a comparative analysis is carried out. The results of the comparative analysis with the solutions of references show relevant and accurate results for static and free vibration problems of FGM plates. Analytical solutions for the static and free vibration problems are presented so as to reveal the effects of the power law index, elastic foundation parameter, and side-to-thickness ratio.

Development of 3-D Nonlinear Wave Driver Using SPH (SPH을 활용한 3차원 비선형 파랑모형 개발)

  • Cho, Yong Jun;Kim, Gweon Soo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.5B
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    • pp.559-573
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    • 2008
  • In this study, we newly proposed 3-D nonlinear wave driver utilizing the Navier-Stokes Eq. the numerical integration of which is carried out using SPH (Smoothed Particle Hydrodynamics), an internal wave generation with the source function of Gaussian distribution and an energy absorbing layer. For the verification of new 3-D nonlinear wave driver, we numerically simulate the sloshing problem within a parabolic water basin triggered by a Gaussian hump and uniformly inclined water surface by Thacker (1981). It turns out that the qualitative behavior of sloshing caused by relaxing the external force which makes a free surface convex or uniformly inclined is successfully simulated even though phase error is visible and an inundation height shrinks as numerical simulation more proceeds. For the more severe test, we also simulate the nonlinear shoaling and refraction over uniform beach of wedge shape. It is shown that numerically simulated waves are less refracted than the linear counterpart by Hamiltonian ray theory due to nonlinearity, energy dissipation at the bottom and side walls, energy loss induced by breaking, and the hydraulic jump occurring when breaking waves encounter a down-rush by the preceding wave.

Studies on the Desertification Combating and Sand Industry Development(IV) - Technology Development for Sanddune Fixation and Sandy Land Conservation in China - (사막화방지(沙漠化防止) 및 방사기술개발(防沙技術開發)에 관한 연구(硏究)(IV) - 중국(中國)의 사구고정(沙丘固定) 및 방사공법분석(防沙工法分析) -)

  • Woo, Bo-Myeong;Lee, Kyung-Joon;Choi, Hyung-Tae;Lee, Sang-Ho;Park, Joo-Won;Wang, Lixian;Zhang, Kebin;Sun, Baoping
    • Journal of Korean Society of Forest Science
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    • v.90 no.3
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    • pp.277-294
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    • 2001
  • This study is aimed to analyze and to evaluate the technology development for sanddune fixation and sandy land conservation in China, resulting from the project of "Studies on the desertification combating and sand industry development". There are various types of sanddunes, including shrub-bunch type, dendritic, honey combed lattice, crescentic, parabolic, pyramid, complex and irregular types, domed, and so on. The height distribution ratios of these sanddunes are 13% of less than 5m, 17% of 6~10m, 18% of 11~25m, 14% of 26~50m, 28% of 51~100m, 10% of more than 100m, and so on. In dry land of China, shifting direction of the sanddune is mainly varying with main direction of wind, but types of shifting sanddunes have many differences in accordance with region, topography, size and shape of sanddunes. The main sanddune fixation technologies could be divided into the bio-ecological measures, physical measures and chemical measures. The bio-ecological measures include such vegetation measures as shrub-grasses measures, sandbreaks between sand dunes, sand fixation shelterblets and establishment of farmland shelterbelts, etc. The physical measures include establishment of high-sanddune stabilization walls and low-sanddune stabilization walls, sanddune fixation levees and coverage method with sediment clay, etc. The chemical measures include fixation-materials spraying and synthetical liquid spraying methods, etc. Besides, irrigation and sand settlement measures, shifting sand trapping channel, ditchsand fixation measures, etc. have been effectively applied.

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