• Title/Summary/Keyword: Solution Technique

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Vibration analysis of rotating Timoshenko beams by means of the differential quadrature method

  • Bambill, D.V.;Felix, D.H.;Rossi, R.E.
    • Structural Engineering and Mechanics
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    • v.34 no.2
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    • pp.231-245
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    • 2010
  • Vibration analysis of rotating beams is a topic of constant interest in mechanical engineering. The differential quadrature method (DQM) is used to obtain the natural frequencies of free transverse vibration of rotating beams. As it is known the DQM offers an accurate and useful method for solution of differential equations. And it is an effective technique for solving this kind of problems as it is shown comparing the obtained results with those available in the open literature and with those obtained by an independent solution using the finite element method. The beam model is based on the Timoshenko beam theory.

Synthesis of Hydrogels for Prevention of Surgical Adhesions by Irradiation (방사선을 이용한 유착 방지용 수화겔 합성기술 개발)

  • No, Yeong-Chang
    • Radioisotope journal
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    • v.21 no.4
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    • pp.46-54
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    • 2006
  • Biocompatible and biodegradable hydrogels based on carboxymethyl cellulose(CMC) and polyethyleneglycol(PEG) were prepared far physical barriers for preventing surgical adhesions. These interpolymeric hydrogels were synthesized by a gamma irradiation crosslinking technique. The 1Scmxl.Scm of cecal serosa and adjacent abdominal wail were abraded with bane burr until tbe serosal surface was disrupted and hemorrhagic but not perforated. and the serosa of tbe cecum was sutured to the abdominal wall in 5mm apart from the injured sire. The denuded cecum was covered with either CMC/PEG hydrogels or solution from CMC/PEG hydrogel. Control rat serosa was not covered. Two weeks later. the rats were sacrificed and adhesion was scored on a 0-5 scale. No treatment showed the significantly higher incidence of adhesions than either CMC/BEC hydrogels or solution from CMC/PEG hydrogel. In conclusion, these studies demonstrate that CMC/BEG hydrogels have a function of prevention of intra abdominal adhesion in a rat model.

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Two-Dimensional Approach for Stress Intensity Factor Solution of a Semi-Elliptical Crack (2차원적 해석을 통한 반타원 결함의 응력세기계수 산출)

  • Ho, Kwang-Il;Park, In-Gyu
    • Nuclear Engineering and Technology
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    • v.23 no.1
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    • pp.12-19
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    • 1991
  • An engineering approach for estimating the stress intensity factors of a semi-elliptical crack is presented. An approximate 2-dimensional approach solution for semi-elliptical crack is derived in terms of simple equation, through weight function technique, by reflecting on the physical character of cracks.

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Interlaminar stresses and delamination of composite laminates under extension and bending

  • Nguyen, Tien Duong;Nguyen, Dang Hung
    • Structural Engineering and Mechanics
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    • v.25 no.6
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    • pp.733-751
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    • 2007
  • The metis element method (Hung 1978) has been applied to analyse free edge interlaminar stresses and delamination in composite laminates, which are subjected to extension and bending. The paper recalls Lekhnitskii's solution for generalized plane strain state of composite laminate and Wang's singular solution for determination of stress singularity order and of eigen coefficients $C_m$ for delamination problem. Then the formulae of metis displacement finite element in two-dimensional problem are established. Computation of the stress intensity factors and the energy release rates are presented in details. The energy release rate, G, is computed by Irwin's virtual crack technique using metis elements. Finally, results of interlaminar stresses, the three stress intensity factors and the energy release rates for delamination crack in composite laminates under extension and bending are illustrated and compared with the literature to demonstrate the efficiency of the present method.

Numerical analysis for free vibration of functionally graded beams using an original HSDBT

  • Sahouane, Abdelkader;Hadji, Lazreg;Bourada, Mohamed
    • Earthquakes and Structures
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    • v.17 no.1
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    • pp.31-37
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    • 2019
  • This work presents a free vibration analysis of functionally graded beams by employing an original high order shear deformation theory (HSDBT). This theory use only three unknowns, but it satisfies the stress free boundary conditions on the top and bottom surfaces of the beam without requiring any shear correction factors. The mechanical properties of the beam are assumed to vary continuously in the thickness direction by a simple power-law distribution in terms of the volume fractions of the constituents. In order to investigate the free vibration response, the equations of motion for the dynamic analysis are determined via the Hamilton's principle. The Navier solution technique is adopted to derive analytical solutions for simply supported beams. The accuracy and effectiveness of proposed model are verified by comparison with previous research.

Analytical solution for free vibration of multi-span continuous anisotropic plates by the perturbation method

  • Liu, Jiepeng;Cao, Liang;Chen, Y. Frank
    • Structural Engineering and Mechanics
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    • v.69 no.3
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    • pp.283-291
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    • 2019
  • Accurately determining the natural frequencies and mode shapes of a structural floor is an essential step to assess the floor's human-induced vibration serviceability. In the theoretical analysis, the prestressed concrete floor can be idealized as a multi-span continuous anisotropic plate. This paper presents a new analytical approach to determine the natural frequencies and mode shapes of a multi-span continuous orthotropic plate. The suggested approach is based on the combined modal and perturbation method, which differs from other approaches as it decomposes the admissible functions defining the mode shapes by considering the intermodal coupling. The implementation of this technique is simple, requiring no tedious mathematical calculations. The perturbation solution is validated with the numerical results.

Robust quasi 3D computational model for mechanical response of FG thick sandwich plate

  • Achouri, Fatima;Benyoucef, Samir;Bourada, Fouad;Bouiadjra, Rabbab Bachir;Tounsi, Abdelouahed
    • Structural Engineering and Mechanics
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    • v.70 no.5
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    • pp.571-589
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    • 2019
  • This paper aims to develop a quasi-3D shear deformation theory for the study of bending, buckling and free vibration responses of functionally graded (FG) sandwich thick plates. For that, in the present theory, both the components of normal deformation and shear strain are included. The displacement field of the proposed model contains undetermined integral terms and involves only four unknown functions with including stretching effect. Using Navier's technique the solution of the problem is derived for simply supported sandwich plate. Numerical results have been reported, and compared with those available in the open literature were excellent agreement was observed. Finally, a detailed parametric study is presented to demonstrate the effect of the different parameters on the flexural responses, free vibration and buckling of a simply supported sandwich plates.

Analysis of $Si_3N_4$ Ultra Fine Powder Using High-pressure Acid Digestion and Slurry Injection in Inductively Coupled Plasma Atomic Emission Spectrometry

  • Kim, K.H.;Kim, H.Y.;Im, H.B.
    • Bulletin of the Korean Chemical Society
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    • v.22 no.2
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    • pp.159-163
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    • 2001
  • Si3N4 powder has been analyzed by inductively coupled plasma atomic emission spectrometry (ICP-AES). The sample was dissolved by high-pressure acid digestion with HF, H2SO4 (1+1), and HNO3 mix ture. This technique is well suited for the impurity analysis of Si3N4 because the matrix interference is eliminated. A round-robin samples trace elements, such as Ca, W, Co, Al, Fe, Mg, and Na, were determined. For the direct analysis, slurry nebulization of 0.96 mm Si3N4 powder also has been studied by ICP-AES. Emission intensities of Fe were measured as ICP operational conditions were changed. Significant signal difference between slurry particles and aqueous solution was observed in the present experiment. Analytical results of slurry injection and high-pressure acid digestion were compared. For the use of aqueous standard solution for calibration, k-factor was determined to be 1.71 for further application.

Rhodomine B dye removal and inhibitory effect on B. subtilis and S. aureus by WOx nanoparticles

  • Ying, Yuet Lee;Pung, Swee Yong;Ong, Ming Thong;Pung, Yuh Fen
    • Journal of Industrial and Engineering Chemistry
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    • v.67
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    • pp.437-447
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    • 2018
  • Visible-light-driven wide bandgap semiconductor photocatalysts were commonly developed via doping or coupling with another narrow bandgap metal oxide. However, these approaches required extra processing. The aim of study was to evaluate the photocatalytic performance of narrow bandgap $WO_x$ nanoparticles. A mixture of $WO_2$ and $WO_3$ nanoparticles were synthesized using solution precipitation technique. The photodegradation of RhB by these nanoparticles more effective in UV light than in visible light. In antibacterial susceptibility assay, $WO_x$ nanoparticles demonstrated good antibacterial against Gram-positive bacteria. The cell wall of bacterial was the main determinant in antibacterial effect other than $W^{4+}/W^{6+}$ ions and ROS.

Environmentally benign. Background-free protein staining in SDS-polyacrylamide gels using an counter ion-dye complex solution.

  • Jin , Li-Tai;Hwang, Sun-Young;Yoo, Gyurng-Soo;Choi, Jung-Kap
    • Proceedings of the PSK Conference
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    • 2002.10a
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    • pp.313.2-313.2
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    • 2002
  • Environmentally benign protein staining method in sodium dodecyl sulfate-polyacrylamide gel electrophoresis (SDS-PAGE) using both an acidic dye, zincon (ZC) and a basic dye. ethyl violet (EV) is described. It is based on a counter ion-dye staining technique that employs oppositely charged two dyes to form an ion-pair complex. The selective binding of the free dye molecules to proteins in an acidic solution produces bluish violet colored bands. It is a rapid procedure, involving only fixin and staining steps that are completed in 45 min. (omitted)

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