• Title/Summary/Keyword: elasticity coefficient

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Free vibration analysis of rotating beams with random properties

  • Hosseini, S.A.A.;Khadem, S.E.
    • Structural Engineering and Mechanics
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    • v.20 no.3
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    • pp.293-312
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    • 2005
  • In this paper, free vibration of rotating beam with random properties is studied. The cross-sectional area, elasticity modulus, moment of inertia, shear modulus and density are modeled as random fields and the rotational speed as a random variable. To study uncertainty, stochastic finite element method based on second order perturbation method is applied. To discretize random fields, the three methods of midpoint, interpolation and local average are applied and compared. The effects of rotational speed, setting angle, random property variances, discretization scheme, number of elements, correlation of random fields, correlation function form and correlation length on "Coefficient of Variation" (C.O.V.) of first mode eigenvalue are investigated completely. To determine the significant random properties on the variation of first mode eigenvalue the sensitivity analysis is performed. The results are studied for both Timoshenko and Bernoulli-Euler rotating beam. It is shown that the C.O.V. of first mode eigenvalue of Timoshenko and Bernoulli-Euler rotating beams are approximately identical. Also, compared to uncorrelated random fields, the correlated case has larger C.O.V. value. Another important result is, where correlation length is small, the convergence rate is lower and more number of elements are necessary for convergence of final response.

A Study on the Coupled Torsional-Axial Vibration of Marine Propulsion Shafting System using the Energy Method

  • Jang, Min-Oh;Kim, Ue-Kan;Park, Yong-Nam;Lee, Young-Jin
    • Journal of Advanced Marine Engineering and Technology
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    • v.28 no.3
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    • pp.482-492
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    • 2004
  • Recently. the market trend for marine diesel engine has involved the lower running speeds. larger stroke/bore ratio and higher combustion pressure. Consequently, because of the flexible engine shafting system due to the larger mass. inertia and the more elasticity, the complicated coupled torsional-axial vibrations have occurred in the operating speed range. Also, the vibrations act as an excitation on the hull-structural vibration. To predict the vibration behavior with more accuracy and reliability. many studies have proposed the several kinds of method to calculate the stiffness matrix of crankshaft. However, most of these methods have a weak point to spend much time on three dimensional modeling and meshing work for crankshaft. Therefore. in this work. the stiffness matrix for the crankthrow is calculated using the energy method (Influence Coefficient Method, ICM) with the each mass having 6 degree of freedom. Its effectiveness is verified through the comparison with the stiffness matrix obtained by using the finite element method (FEM) and measured results for actual ships propulsion system.

Free vibrations of laminated composite plates using a novel four variable refined plate theory

  • Sehoul, Mohammed;Benguediab, Mohamed;Bakora, Ahmed;Tounsi, Abdelouahed
    • Steel and Composite Structures
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    • v.24 no.5
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    • pp.603-613
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    • 2017
  • In this research, the free vibration response of laminated composite plates is investigated using a novel and simple higher order shear deformation plate theory. The model considers a non-linear distribution of the transverse shear strains, and verifies the zero traction boundary conditions on the surfaces of the plate without introducing shear correction coefficient. The developed kinematic uses undetermined integral terms with only four unknowns. Equations of motion are obtained from the Hamilton's principle and the Navier method is used to determine the closed-form solutions of antisymmetric cross-ply and angle-ply laminates. Numerical examples studied using the present formulation is compared with three-dimensional elasticity solutions and those calculated using the first-order and the other higher-order theories. It can be concluded that the present model is not only accurate but also efficient and simple in studying the free vibration response of laminated composite plates.

Nondestructive Evaluation of Bending Strength Performances for Red Pine Containing Knots Using Flexural Vibration Techniques

  • Byeon, Hee-Seop;Ahn, Sang-Yeol;Park, Han-Min
    • Journal of the Korean Wood Science and Technology
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    • v.33 no.5 s.133
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    • pp.13-20
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    • 2005
  • This paper deals with flexural vibration techniques as a means of predicting bending strength properties for quarter-sawn and flat-sawn planes of red pine containing knots. Dynamic modulus of elasticity $(MOE_d)$ was calculated from resonance frequency obtained from the flexural vibration induced by a magnetic driver in quarter-sawn and flat-sawn planes of red pine containing knots. The dynamic MOE were well correlated to bending strength properties. Their correlation coefficients ranged from 0.866 to 0.800 for the regression between dynamic MOE and static bending MOE or MOR. The difference of the values between quarter-sawn and flat-sawn was very small. These values were higher than correlation between percentage of total knot diameter to total width of red pine specimen $(K_T(%))$ as well as $K_O(%)$ base upon ASTM D 3737 and static bending strength properties (correlation coefficient r = 0.448~0.704), and were similar to those between static bending MOE and bending MOR (r = 0.850). These results indicate that dynamic MOE obtained from resonance frequency induced by flexural vibration of magnetic driver is able to effectively use for predicting of static bending strength of red pine containing knots as well as static MOE.

Effect of elasticity of aqueous xanthan gum solution with 2-amino-methyl-1-propanol on chemical absorption of carbon dioxide

  • Park, Sang-Wook;Choi, Byoung-Sik;Song, Ki-Won;Lee, Jae-Wook
    • Korea-Australia Rheology Journal
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    • v.20 no.1
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    • pp.1-6
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    • 2008
  • Absorption rate of carbon dioxide was measured in the aqueous xanthan gum (XG) solution in the range of 0-0.15 wt% containing 2-amino-2-methyl-1-propanol (AMP) of $0-2\;kmol/m^3$ in a flat-stirred vessel with an impeller of 0.05m and agitation speed of 50rpm at $25^{\circ}C$ and 0.101 MPa. The volumetric liquid-side mass transfer coefficient ($k_La$) of $CO_2$, which was correlated with the viscosity and the elastic behavior of XG solution containing Deborah number as an empirical formula, was used to estimate the chemical absorption rate of $CO_2\;(R_A)$. $R_A$, which was estimated by mass transfer mechanism based on the film theory using the physicochemical properties and the kinetics of reaction between $CO_2$ and AMP, was compared with the measured rate. The aqueous XG solution with elastic property of non-Newtonian liquid made $R_A$ increased compared with Newtonian liquid based on the same viscosity of the solution.

A new coupling method of Element-Free Galerkin Method and Boundary Element Method for infinite domain problems in elasticity (무한탄성영역 해석을 위한 EFG와 BEM의 새로운 결함기법 개발)

  • 이상호;김명원
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2002.10a
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    • pp.575-582
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    • 2002
  • A new coupling method of Element-Free Galerkin Method(EFGM) and Boundary Element Method(BEM) using the domain decomposition method is presented in this paper. This proposed methodology is that the problem domain is decomposed into sub-domains being modeled by the EFGM and BEM respectively and the respective EFGM and BEM domains share a partially overlapped region over an entire domain. Then, the each sub-domain is separately computed and the variables on common region are iteratively updated until converging. It is an important note that in the developed coupling method, there is no need to combine the coefficient matrices of EFGM and BEM sub-domains, in contrast with the other conventional coupling methods. In the first part of this paper, a theory of EFGM and BEM is summarized, and then a brief introduction of domain decomposition method is described. Then, a new coupling method is presented. Also, patch test and Some numerical examples are studied to verify stability, accuracy and efficiency of the proposed method, in which numerical performance of the method is compared with that of conventional method such as EFGM-BEM variational coupling method, EFGM and BEM.

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Analysis of Physical Performance, Hygiene and Safety of Silicone-Laminated Stretch Material (실리콘이 라미네이팅된 신축성 소재의 위생 및 안전성과 역학적 성능)

  • Kwon, Myoung-Sook;Jung, Gi-Soo
    • Journal of the Korean Society of Clothing and Textiles
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    • v.31 no.1 s.160
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    • pp.77-84
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    • 2007
  • The purpose of this study was to investigate and to compare the performances of silicone laminated materials sold for swimming cap in market, to get the basic data for product development. We selected 4 specimens and tested their air permeability, waterproofness and breathability. We also tested the physical and mechanical properties of the specimens using KES system. Silicone-laminated material was not bursted on high hydraulic pressure since silicone membrane gave waterproofness while PU/Polyester substrate gave elasticity. It didn't have air permeability and breathability at all. Any toxic materials such as Formaldehyde, Deldrin, PCP, Amin, TDBPP were not detected in silicone-laminated material and other materials. Silicone-laminated material had higher stretchability with the low force but it had lower elastic recovery and shape stability comparing to PU laminated material. It had lower flexibility than PU laminated material. It had lower unrecoverable amount in shearing direction. Friction coefficient was higher in silicone-laminated material than PU laminated material due to its surface stickiness. It was compressed easily and its compression resiliency was higher with compared to PU laminated material.

An Study on Heat Transfer Analysis to Concrete PC Pannel Lining under Tunnel Fire Scenario (터널 화재시나리오에 따른 콘크리트 PC패널 라이닝의 전열특성에 관한 해석적 연구)

  • Kim, Hyung-Jun;Kim, Heung-Youl;Park, Kyung-Hoon;Shin, Hyun-Jun
    • Proceedings of the Korea Institute of Fire Science and Engineering Conference
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    • 2009.04a
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    • pp.487-492
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    • 2009
  • This study was performed FE numerical analysis under 120-minute fire conditions, using the ABAQUS, a wide use software, on the basis of the test results by concrete tunnel lining fire strengths (ISO, RWS, and MHC). The concrete material test was to secure the material properties of concrete linings, which were numerical analysis input conditions. And then built the material properties, such as specific heat, heat transfer rate, heat expansion rate, density, elasticity coefficient and compression strength under high temperature conditions, as database at 20 $^{\circ}C$ to 800 $^{\circ}C$, applying them to analysis as input values. As a result, the tunnel linings under RWS fire conditions saw fire temperature rose to maximum 1119 $^{\circ}C$at the location of 5 mm above a thermal surface, and saw surface temperature amount to 1214 $^{\circ}C$ in the middle part.

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Porosity-dependent free vibration analysis of FG nanobeam using non-local shear deformation and energy principle

  • Gafour, Youcef;Hamidi, Ahmed;Benahmed, Abdelillah;Zidour, Mohamed;Bensattalah, Tayeb
    • Advances in nano research
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    • v.8 no.1
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    • pp.37-47
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    • 2020
  • This work focuses on the behavior of non-local shear deformation beam theory for the vibration of functionally graded (FG) nanobeams with porosities that may occur inside the functionally graded materials (FG) during their fabrication, using the non-local differential constitutive relations of Eringen. For this purpose, the developed theory accounts for the higher-order variation of transverse shear strain through the depth of the nanobeam. The material properties of the FG nanobeam are assumed to vary in the thickness direction. The equations of motion are derived from Hamilton's principle. Analytical solutions are presented for a simply supported FG nanobeam with porosities. The validity of this theory is verified by comparing some of the present results with other higher-order theories reported in the literature, the influence of material parameters, the volume fraction of porosity and the thickness ratio on the behavior mechanical P-FGM beam are represented by numerical examples.

The Steady-State Characteristic Analysis of 2MW PMSG based Direct-Drive Offshore Wind Turbine (2MW급 해상용 영구자석 직접 구동형 풍력 발전기의 정상상태 특성 해석)

  • Shin, Pyungho;Choi, Jungchul;Yoo, Chul;Kim, Daejin;Kyong, Namho;Ko, Heesang
    • Journal of the Korean Solar Energy Society
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    • v.35 no.3
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    • pp.9-16
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    • 2015
  • In order to support various studies for assessment of onshore and offshore wind turbine system including foundations, the land-based version of 2MW PMSG direct drive wind turbine has been analyzed using HAWC2 that account for the coupled dynamics of the wind inflow, elasticity, and controls of the turbine. this work presents the steady-state response of the system and natural frequency of the first thirteen structure turbine modes as a function of wind speed. Rotor, generator speeds, pitch angle, power production, thrust force, deflections of tower and blade are compared for one case below and one case above the rated wind speed.