• Title/Summary/Keyword: free edges

Search Result 204, Processing Time 0.024 seconds

Frequencies and Mode Shapes of Annular Plates tilth Variable Thickness by the Ritz Method in Three-Dimensional Analysis (변두께를 갖는 두꺼운 환형판의 삼차원적 리츠방법에 의한 진동수와 모드형상)

  • 양근혁;강재훈
    • Transactions of the Korean Society for Noise and Vibration Engineering
    • /
    • v.11 no.5
    • /
    • pp.89-100
    • /
    • 2001
  • The Ritz method Is applied In a three-dimensional (3-D) analysis to obtain accurate frequencies for thick. linearly tapered. annular plates. The method is formulated for annular plates haying any combination of free or fixed boundaries at both Inner and outer edges. Admissible functions for the three displacement components are chosen as trigonometric functions in the circumferential co-ordinate. and a1gebraic polynomials in the radial and thickness co-ordinates. Upper bound convergence of the non-dimensional frequencies to the exact values within at least four significant figures is demonstrated. Comparisons of results for annular plates with linearly varying thickness are made with ones obtained by others using 2-D classical thin place theory. Extensive and accurate ( four significant figures ) frequencies are presented 7or completely free. thick, linearly tapered annular plates haying ratios of average place thickness to difference between outer radius (a) and inner radius (b) radios (h$_{m}$/L) of 0.1 and 0.2 for b/L=0.2 and 0.5. All 3-D modes are included in the analyses : e.g., flexural, thickness-shear. In-plane stretching, and torsional. Because frequency data liven is exact 7o a\ulcorner least four digits. It is benchmark data against which the results from other methods (e.g.. 2-D 7hick plate theory, finite element methods. finite difference methods) and may be compared. Throughout this work, Poisson\`s ratio $\upsilon$ is fixed at 0.3 for numerical calculations.s.

  • PDF

Buckling and vibration analyses of MGSGT double-bonded micro composite sandwich SSDT plates reinforced by CNTs and BNNTs with isotropic foam & flexible transversely orthotropic cores

  • Mohammadimehr, M.;Nejad, E. Shabani;Mehrabi, M.
    • Structural Engineering and Mechanics
    • /
    • v.65 no.4
    • /
    • pp.491-504
    • /
    • 2018
  • Because of sandwich structures with low weight and high stiffness have much usage in various industries such as civil and aerospace engineering, in this article, buckling and free vibration analyses of coupled micro composite sandwich plates are investigated based on sinusoidal shear deformation (SSDT) and most general strain gradient theories (MGSGT). It is assumed that the sandwich structure rested on an orthotropic elastic foundation and make of four composite face sheets with temperature-dependent material properties that they reinforced by carbon and boron nitride nanotubes and two flexible transversely orthotropic cores. Mathematical formulation is presented using Hamilton's principle and governing equations of motions are derived based on energy approach and applying variation method for simply supported edges under electro-magneto-thermo-mechanical, axial buckling and pre-stresses loadings. In order to predict the effects of various parameters such as material length scale parameter, length to width ratio, length to thickness ratio, thickness of face sheets to core thickness ratio, nanotubes volume fraction, pre-stress load and orthotropic elastic medium on the natural frequencies and critical buckling load of double-bonded micro composite sandwich plates. It is found that orthotropic elastic medium has a special role on the system stability and increasing Winkler and Pasternak constants lead to enhance the natural frequency and critical buckling load of micro plates, while decrease natural frequency and critical buckling load with increasing temperature changes. Also, it is showed that pre-stresses due to help the axial buckling load causes that delay the buckling phenomenon. Moreover, it is concluded that the sandwich structures with orthotropic cores have high stiffness, but because they are not economical, thus it is necessary the sandwich plates reinforce by carbon or boron nitride nanotubes specially, because these nanotubes have important thermal and mechanical properties in comparison of the other reinforcement.

Response characteristics and suppression of torsional vibration of rectangular prisms with various width-to-depth ratios

  • Takai, Kazunori;Sakamoto, Hiroshi
    • Wind and Structures
    • /
    • v.9 no.1
    • /
    • pp.1-22
    • /
    • 2006
  • The response characteristics and suppression of flow-induced vibrations of rectangular prisms with various width-to-depth ratios were experimentally investigated. The prisms were rigid and elastically mounted at both ends to enable constrained torsional vibrations only. The present study focused on torsional vibrations, one of the three types of flow-induced vibrations generated in a rectangular prism. First, the response characteristics of torsional vibrations generated in rectangular prisms were investigated by free-vibration tests. It was found that the response characteristics of torsional vibrations generated in rectangular prisms could be classified into six patterns depending on the width-to-depth ratio. Next, the response characteristics of torsional vibrations observed in the free-vibration tests were reproduced by forced-vibration tests, and the mechanisms by which the three types of flow-induced vibrations, low-speed torsional flutter, vortex excitation and high-speed torsional flutter, are generated in the rectangular prisms were elucidated on the basis of characteristics of fluid forces and visualized flow patterns. Experiments were also carried out to establish an effective method for suppressing flow-induced vibrations generated in the rectangular prisms, and it was found that low-speed torsional flutter and high-speed torsional flutter could be suppressed by placing a small normal plate upstream of the prism, which results in suppression of the alternating rolling-up of the shear layers separating from the leading edges of the prism. It was also found that vortex excitation could be suppressed by placing a splitter plate downstream of the prism, which results in suppression of the generation of wake vortices.

Efficient and Reliable in vitro Regeneration System for Rubus Species as the Basis of Genetic Engineering

  • Kalai Katalin;Meszaros Annamaria;Denes Ferenc;Zatyko Jozsef;Balazs Ervin
    • Journal of Plant Biotechnology
    • /
    • v.7 no.4
    • /
    • pp.241-246
    • /
    • 2005
  • Factors affecting regeneration of different Rubus varieties (blackberry, raspberry and their hybrid) were examined and a reliable regeneration system was established. Media for stock plant maintenance were tested; different explants and media were investigated to find the best circumstances for the regeneration. The effect of the commonly used antibiotics was studied to determine the most suitable one for selection of the transformants. We found that both MS and LS media supplemented by $20\;gL^{-1}$ sucrose are suitable for the stock plant maintenance. The optimal hormone content for the stock plants is $0.125\;mgL^{-1}$ 6-benzylaminopurine (BAP) with $0.01\;mgL^{-1}$ indole-3- butyric acid (IBA). The highest regeneration rate was observed on medium containing MS salts with B5 vitamins complemented with glucose, sucrose, maltose, $10\;gL^{-1}$ each, supplemented with benzylaminopurine riboside (BAR) ($2\;mgL^{-1}$) and indole-3-acetic acid (IAA) ($0.1\;mgL^{-1}$). The regenerated shoots appeared directly from the cut edges, without callus phase. Hygromycin and geneticin proved to be good selection agents for the Rubus explants, but due to their severe effect on the tissues we propose to use marker-free constructions for the transformation.

Numerical Study on the Vortex Evolution from a Sharp-Edged, Wall-Mounted Obstacle (장애물 주위의 와구조 형성과정에 관한 수치적 연구)

  • Hwang, Jong-Yeon;Yang, Kyung-Soo
    • Transactions of the Korean Society of Mechanical Engineers B
    • /
    • v.28 no.6
    • /
    • pp.672-681
    • /
    • 2004
  • Direct numerical simulation was carried out to study the vortical structures of the flow around a wall-mounted cube in a channel at Re=1,000 and Re=3,500 based on cubic height and bulk mean velocity. The cubic obstacle is situated in the entrance region of the channel flow where the boundary layers are developing. Upstream of the obstacle, steady and unsteady laminar horseshoe vortex systems are observed at Re=1,000 and Re=3,500, respectively; the near-wake flow is turbulent in both cases. The flow separates at each leading sharp edge of the cube, and subsequent vortex roll-up is noticed in the corresponding free-shear layer. The vortex shedding from the upper leading edge (upper vortices) and that from the two lateral leading edges (lateral vortices) are both quasi-periodic and their frequencies are computed. The upper and lateral vortices further develop into hairpin and Λ vortices, respectively. A series of instantaneous contours of the second invariant of velocity gradient tensor helps us identify spatial and temporal behaviors of the vortices in detail. The results indicate that the length and time scales of the vortical structures at Re=3,500 are much shorter than those at Re:1,000. Correlations between the upper and lateral vortices are also reported.

Post-processing of 3D Video Extension of H.264/AVC for a Quality Enhancement of Synthesized View Sequences

  • Bang, Gun;Hur, Namho;Lee, Seong-Whan
    • ETRI Journal
    • /
    • v.36 no.2
    • /
    • pp.242-252
    • /
    • 2014
  • Since July of 2012, the 3D video extension of H.264/AVC has been under development to support the multi-view video plus depth format. In 3D video applications such as multi-view and free-view point applications, synthesized views are generated using coded texture video and coded depth video. Such synthesized views can be distorted by quantization noise and inaccuracy of 3D wrapping positions, thus it is important to improve their quality where possible. To achieve this, the relationship among the depth video, texture video, and synthesized view is investigated herein. Based on this investigation, an edge noise suppression filtering process to preserve the edges of the depth video and a method based on a total variation approach to maximum a posteriori probability estimates for reducing the quantization noise of the coded texture video. The experiment results show that the proposed methods improve the peak signal-to-noise ratio and visual quality of a synthesized view compared to a synthesized view without post processing methods.

Evaluation of Internal Resistance in Asphalt Concretes

  • Zandi, Yousef;Akpinar, Muhammet Vefa
    • International Journal of Concrete Structures and Materials
    • /
    • v.6 no.4
    • /
    • pp.247-250
    • /
    • 2012
  • Composites are somewhat more difficult to model than an isotropic material such as iron or steel due to the fact that each layer may have different orthotropic material properties. In finite element literature the asphalt mixes are represented by using rectangular meshes, not the actual picture of their cross-sections. Asphalt aggregate size and distribution in the asphalt concrete sample, aggregate shape, and fractured surface effects are ignored. In this research, the actual image of the sample including all these effects were directly considered in the finite element. The samples, were cut into cross-sections and were scanned. The image-processing toolbox of Labview was utilized in obtaining the rectangular gray images of the scanned images. In the rectangular sample the aggregates were white and the asphalt binders were black. The grayscale images were converted by LABVIEW into the format required by ANSYS as an input file, with the same dimensions. The nodes at the bottom of the model were constrained in both x and y directions. Left and right edges were symmetry and top was free. Certain amount of pressure was applied along the top surface to simulate the tire pressure.

Residual Deformation Induced by the Repair of Composite Shell Structures (복합재료 쉘 구조물의 수리 시 발생하는 잔류변형)

  • 최항석;정의승;이수용
    • Composites Research
    • /
    • v.12 no.4
    • /
    • pp.17-24
    • /
    • 1999
  • Finite element analysis and experiment are performed to investigate residual deformation induced by the repair of composite shell structures using a prepreg patch method. The finite element program is developed on the basis of a three-dimensional degenerated shell element and the first order shear deformation theory. The results analyzed for the laminated shell with free boundary conditions are compared with strains measured during the prepreg patch repair. Final residual stresses occur greatly near the patch when the laminated shell with all edges clamped is repaired using the prepreg patch. Stacking sequences of the laminated shell and patch affect significantly the residual stresses which occur even if they are the same.

  • PDF

A nonlocal strain gradient theory for nonlinear free and forced vibration of embedded thick FG double layered nanoplates

  • Mahmoudpour, E.;Hosseini-Hashemi, SH.;Faghidian, S.A.
    • Structural Engineering and Mechanics
    • /
    • v.68 no.1
    • /
    • pp.103-119
    • /
    • 2018
  • In the present research, an attempt is made to obtain a semi analytical solution for both nonlinear natural frequency and forced vibration of embedded functionally graded double layered nanoplates with all edges simply supported based on nonlocal strain gradient elasticity theory. The interaction of van der Waals forces between adjacent layers is included. For modeling surrounding elastic medium, the nonlinear Winkler-Pasternak foundation model is employed. The governing partial differential equations have been derived based on the Mindlin plate theory utilizing the von Karman strain-displacement relations. Subsequently, using the Galerkin method, the governing equations sets are reduced to nonlinear ordinary differential equations. The semi analytical solution of the nonlinear natural frequencies using the homotopy analysis method and the exact solution of the nonlinear forced vibration through the Harmonic Balance method are then established. The results show that the length scale parameters give nonlinearity of the hardening type in frequency response curve and the increase in material length scale parameter causes to increase in maximum response amplitude, whereas the increase in nonlocal parameter causes to decrease in maximum response amplitude. Increasing the material length scale parameter increases the width of unstable region in the frequency response curve.

Theoretical tensile model and cracking performance analysis of laminated rubber bearings under tensile loading

  • Chen, Shicai;Wang, Tongya;Yan, Weiming;Zhang, Zhiqian;Kim, Kang-Suk
    • Structural Engineering and Mechanics
    • /
    • v.52 no.1
    • /
    • pp.75-87
    • /
    • 2014
  • To analyze the tension performance of laminated rubber bearings under tensile loading, a theoretical tension model for analyzing the rubber bearings is proposed based on the theory of elasticity. Applying the boundary restraint condition and the assumption of incompressibility of the rubber (Poisson's ratio of the rubber material is about 0.5 according the existing research results), the stress and deformation expressions for the tensile rubber layer are derived. Based on the derived expressions, the stress distribution and deformation pattern especially for the deformation shapers of the free edges of the rubber layer are analyzed and validated with the numerical results, and the theory of cracking energy is applied to analyze the distributions of prediction cracking energy density and gradient direction. The prediction of crack initiation and crack propagation direction of the rubber layers is investigated. The analysis results show that the stress and deformation expressions can be used to simulate the stress distribution and deformation pattern of the rubber layer for laminated rubber bearings in the elastic range, and the crack energy method of predicting failure mechanism are feasible according to the experimental phenomenon.