• 제목/요약/키워드: Elasticity Analysis

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ESPI를 이용한 정사각튜브의 변형계측 (A Study on Measurement of Displacement Using ESPI Method in Square Tubes)

  • 박찬주;김경석;정현철;장호섭
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1997년도 추계학술대회 논문집
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    • pp.241-244
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    • 1997
  • This paper proposes Electronic Speckle Pattern Interferometry(ESPI) for the quantitative buckling analysis of square tube, which is unable to be measured with previous methods. The quantitative buckling analysis in elasticity is important part to study strain-stress analysis of thick-plated tube and fatigue analysis. However, it is unsolved problem with theory and previous experimental method. The merits of ESPI, Whole-filed measurement and high accurate 3D-displacement measurement make it possible to determinate the buckling analysis in elasticity quantitatively.

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Nonlocal geometrically nonlinear dynamic analysis of nanobeam using a meshless method

  • Ghadiri Rad, Mohammad Hossein;Shahabian, Farzad;Hosseini, Seyed Mahmoud
    • Steel and Composite Structures
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    • 제32권3호
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    • pp.293-304
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    • 2019
  • In the present paper, the element free Galerkin (EFG) method is developed for geometrically nonlinear analysis of deep beams considering small scale effect. To interpret the behavior of structure at the nano scale, the higher-order gradient elasticity nonlocal theory is taken into account. The radial point interpolation method with high order of continuity is used to construct the shape functions. The nonlinear equation of motion is derived using the principle of the minimization of total potential energy based on total Lagrangian approach. The Newmark method with the small time steps is used to solve the time dependent equations. At each time step, the iterative Newton-Raphson technique is applied to minimize the residential forces caused by the nonlinearity of the equations. The effects of nonlocal parameter and aspect ratio on stiffness and dynamic parameters are discussed by numerical examples. This paper furnishes a ground to develop the EFG method for large deformation analysis of structures considering small scale effects.

The statistical two-order and two-scale method for predicting the mechanics parameters of core-shell particle-filled polymer composites

  • Han, Fei;Cui, Junzhi;Yu, Yan
    • Interaction and multiscale mechanics
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    • 제1권2호
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    • pp.231-250
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    • 2008
  • The statistical two-order and two-scale method is developed for predicting the mechanics parameters, such as stiffness and strength of core-shell particle-filled polymer composites. The representation and simulation on meso-configuration of random particle-filled polymers are stated. And the major statistical two-order and two-scale analysis formulation is briefly given. The two-order and two-scale expressions for the strains and stresses of conventionally strength experimental components, including the tensional or compressive column, the twist bar and the bending beam, are developed by means of their classical solutions with orthogonal-anisotropic coefficients. Then a new effective mesh generation algorithm is presented. The mechanics parameters of core-shell particle-filled polymer composites, including the expected stiffness parameters, minimum stiffness parameters, and the expected elasticity limit strength and the minimum elasticity limit strength, are defined by means of the stiffness coefficients and elasticity strength criterions for core, shell and matrix. Finally, the numerical results for predicting both stiffness and elasticity limit strength parameters are compared with the experimental data.

Numerical prediction of stress and displacement of ageing concrete dam due to alkali-aggregate and thermal chemical reaction

  • Azizan, Nik Zainab Nik;Mandal, Angshuman;Majid, Taksiah A.;Maity, Damodar;Nazri, Fadzli Mohamed
    • Structural Engineering and Mechanics
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    • 제64권6권
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    • pp.793-802
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    • 2017
  • The damage of concrete due to the expansion of alkali-aggregate reaction (AAR) and thermal-chemical reactions affecting the strength of concrete is studied. The empirical equations for the variations of expansion of AAR, compressive strength and degradation of the modulus of elasticity with time, and compressive strength with degradation of the modulus of elasticity are proposed by analysing numerous experimental data. It is revealed that the expansion of AAR and compressive strength increase with time. The proposed combination of the time variations of chemical and mechanical parameters provides a satisfactory prediction of the concrete strength. Seismic analysis of the aged Koyna dam is conceded for two different long-term experimental data of concrete incorporating the proposed AAR based properties. The responses of aged Koyna dam reveal that the crest displacement of the Koyna dam significantly increases with time while the contour plots show that major principal stress at neck level reduces with time. As the modulus of elasticity decreases with ages the stress generated in the concrete structure get reduces. On the other hand with lesser value of modulus of elasticity the structure becomes more flexible and the crest displacement becomes very high that cause the seismic safety of the dam reduce.

신축성에 따른 여고생 교복의 착용감에 관한 연구(제1보) -역학적 특성과 보온성에 관하여- (A Study on Wearing Sensations of Girls'High School Uniforms Based on Elasticity(1) -Focusing on Mechanical Properties and Insulation-)

  • 민경혜;류덕환
    • 한국의류학회지
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    • 제27권5호
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    • pp.545-553
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    • 2003
  • A good school uniform leads students to good behavior and have them enjoy desirable school life. Therefore a better fabric for girls' high school uniform suggested through two series of studies; first, examined the various aspects of current uniforms. Second, made a new fabric for uniform considering elasticity for activity and comfortableness, and compared its characteristics with those of the current uniforms. The results are as follows; 1 Most of students wanted uniforms considering elasticity for activity and wearing. 2. The measurement of the elasticities of the uniform materials showed that the material which was made using the elastic material was more elastic than the currently used material by 42.12% in summer material and 20.05% in winter one. 3. The analysis using the combination of the values of mechanical properties showed that the elastic material was better in the wearing, tactile senses, and drape properties than the current material, even though it was a little worse in shape-stability. 4. To compare the thermal insulation, clo values were measured. For winter uniform, the elastic material was better than the current one in keeping warm. However, This study did not find any big difference between summer uniform materials.

Vibration analysis of boron nitride nanotubes by considering electric field and surface effect

  • Zeighampour, Hamid;Beni, YaghoubTadi
    • Advances in nano research
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    • 제11권6호
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    • pp.607-620
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    • 2021
  • In this paper, the vibrations of boron nitride nanotubes (BNNTs) are investigated by considering the electric field. To consider the size effect at nanoscale dimensions, the surface elasticity theory is exploited. The equations of motion of the BNNTs are obtained by applying Hamilton's principle, and the clamped-guided boundary conditions are also considered. The governing equations and boundary conditions are discretized using the differential quadrature method (DQM), and the natural frequency is obtained by using the eigenvalue problem solution. The results are compared with the molecular dynamic simulation in order to validate the accurate values of the surface effects. In the molecular dynamics (MD) simulation, the potential between boron and nitride atoms is considered as the Tersoff type. The Timoshenko beam model is adopted to model BNNT. The vibrations of two types of zigzag and armchair BNNTs are considered. In the result section, the effects of chirality, surface elasticity modulus, surface residual tension, surface density, electric field, length, and thickness of BNNT on natural frequency are investigated. According to the results, it should be noted that, as an efficient non-classical continuum mechanic approach, the surface elasticity theory can be used in scrutinizing the dynamic behavior of BNNTs.

R&D 지원제도와 기업 R&D 지출액간 관계 분석: 정부 R&D 보조금과 세제혜택을 중심으로 (An Analysis of Relationship between R&D Policies and Firm R&D Expenditures: Focused on R&D Subsidies and Tax Incentives)

  • 서규원;이창양
    • 기술혁신연구
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    • 제14권1호
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    • pp.101-118
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    • 2006
  • The relationship between R&D Polices(R&D subsidy, tax incentives) and firm R&D expenditures is analyzed through firm's profit maximization function. As a result, the relationship between R&D policies and fmn R&D expenditures is determined by the relationship between firm R&D expenditures and market price. In case of major innovation which cause the fall of market price, the elasticity R&D subsidy and firm R&D expenditures is negative(substitution). In case of minor innovation which cause the rise of market price, the elasticity R&D subsidy and firm R&D expenditures is positive(complement). Tax incentives is bring about the increase of firm R&D expenditures. R&D subsidy and tax incentives are substitutively influenced at firm R&D expenditures.

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Bending, buckling and vibration analyses of nonhomogeneous nanotubes using GDQ and nonlocal elasticity theory

  • Pradhan, S.C.;Phadikar, J.K.
    • Structural Engineering and Mechanics
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    • 제33권2호
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    • pp.193-213
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    • 2009
  • In this paper structural analysis of nonhomogeneous nanotubes has been carried out using nonlocal elasticity theory. Governing differential equations of nonhomogeneous nanotubes are derived. Nanotubes include both single wall nanotube (SWNT) and double wall nanotube (DWNT). Nonlocal theory of elasticity has been employed to include the scale effect of the nanotubes. Nonlocal parameter, elastic modulus, density and diameter of the cross section are assumed to be functions of spatial coordinates. General Differential Quadrature (GDQ) method has been employed to solve the governing differential equations of the nanotubes. Various boundary conditions have been applied to the nanotubes. Present results considering nonlocal theory are in good agreement with the results available in the literature. Effect of variation of various geometrical and material parameters on the structural response of the nonhomogeneous nanotubes has been investigated. Present results of the nonhomogeneous nanotubes are useful in the design of the nanotubes.

Axisymmetric analysis of a functionally graded layer resting on elastic substrate

  • Turan, Muhittin;Adiyaman, Gokhan;Kahya, Volkan;Birinci, Ahmet
    • Structural Engineering and Mechanics
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    • 제58권3호
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    • pp.423-442
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    • 2016
  • This study considers a functionally graded (FG) elastic layer resting on homogeneous elastic substrate under axisymmetric static loading. The shear modulus of the FG layer is assumed to vary in an exponential form through the thickness. In solution, the FG layer is approximated into a multilayered medium consisting of thin homogeneous sublayers. Stiffness matrices for a typical homogeneous isotropic elastic layer and a half-space are first obtained by solving the axisymmetric elasticity equations with the aid of Hankel's transform. Global stiffness matrix is, then, assembled by considering the continuity conditions at the interfaces. Numerical results for the displacements and the stresses are obtained and compared with those of the classical elasticity and the finite element solutions. According to the results of the study, the approach employed here is accurate and efficient for elasto-static problems of FGMs.

Stability analysis of functionally graded heterogeneous piezoelectric nanobeams based on nonlocal elasticity theory

  • Ebrahimi, Farzad;Barati, Mohammad Reza
    • Advances in nano research
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    • 제6권2호
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    • pp.93-112
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    • 2018
  • An analytical solution of the buckling governing equations of functionally graded piezoelectric (FGP) nanobeams obtained by using a developed third-order shear deformation theory is presented. Electro-mechanical properties of FGP nanobeam are supposed to change continuously in the thickness direction based on power-law model. To capture the small size effects, Eringen's nonlocal elasticity theory is adopted. Employing Hamilton's principle, the nonlocal governing equations of a FG nanobeams made of piezoelectric materials are obtained and they are solved using Navier-type analytical solution. Results are provided to show the effect of different external electric voltage, power-law index, nonlocal parameter and slenderness ratio on the buckling loads of the size-dependent FGP nanobeams. The accuracy of the present model is verified by comparing it with nonlocal Timoshenko FG beams. So, this study makes the first attempt for analyzing buckling behavior of higher order shear deformable FGP nanobeams.