• Title/Summary/Keyword: Plate theory

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Continuum Model considering Surface Effect for Thin film (박막구조해석을 위한 표면효과를 고려하는 연속체 모델)

  • Choi, Jin-Bok;Jung, Kwang-Sub;Cho, Maeng-Hyo
    • Proceedings of the KSME Conference
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    • 2007.05a
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    • pp.527-531
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    • 2007
  • The classical continuum theory-based thin film model is independent of their size and the surface effect can be ignored. But the surface to bulk ratio becomes very large in nano-size structures such as nano film, nano wire and nano beam. In this case, surface effect plays an important role and its contribution of the surface effect must be considered. Molecular dynamics simulation has been a conventional way to analyze these ultra-thin structures but structures in the range between submicro and micro are difficult to analyze by classical molecular dynamics due to the restriction of computing resources and time. Therefore, in present study, the continuum-based method is considered to predict the overall physical and mechanical properties of the structures in nano-scale, especially, for the thin-film. The proposed continuum based-thin plate finite element is efficient and reliable for the prediction of nano-scale film behavior.

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Resonant Scattering of Underwater Acoustic Wave by Transversely Isotropic Cylindrical Shells (횡등방성 원통 셸에 의한 수중 음파의 공명 산란)

  • 김진연
    • Journal of KSNVE
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    • v.7 no.3
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    • pp.449-455
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    • 1997
  • A theoretical study is presented for the prediction of the scattering of obliquely incident plane acoustic wave by transversely isotropic cylindrical shells immersed in water. In dorder to illustrate the vailidity of the theory backscattering form functions are compared with the existing results for degenerated problems: the catterings by isotropic shell and transversely isotropic solid cylinder. The unidirectional fiber reinforced boron-aluminum composites are selected as a model of transversely isotropic materials having potential applications in practice. From the resonant scattering analysis of the partial backscattering form functions, the dispersion curves for fluid-borne Stoneley wave, guided wave along the shell, and the lowest three Lamb type waves can be found. The Lamb type dispersions are compared with those of the flat plate. The variation of anisotropy significantly affects the properties of circumferential waves. From these results, it can be possible to identify parametrically the material properties of anisotropic cylindrical targets.

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A Study on the Acoustic Properties of Porous Material by Using Acoustic Transfer Matrix (전달행렬법에 의한 다공질 흡음재의 음향특성 연구)

  • 박철희;주재만;염창훈
    • Journal of KSNVE
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    • v.6 no.5
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    • pp.635-644
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    • 1996
  • In this paper, Allard's modelling method which employs the method of acoustic transfer matrix(ATM) is applied to yield more precise results in the analysis of porous sound absorbing material. The method of ATM, based on Biot's theory, is known to play an important role in the estimation of the sound absorption when a sound projects onto the material. In the case of a single layered porous sound absorbing material, the surface impedance and the absorption coefficient by using the method of ATM are estimated. With the variation of the material properties, sound absorption characteristics and analyzed. Transmission Loss in a combination of the porous sound absorbing material with a thin plate is predicted.

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The Study on the Aeroelastic Stability of Hingeless Helicopter Rotor in Hover Considering Parametric Angle Changes (파라메타 각 변화를 고려한 힌지없는 헬리콥터 로우터의 공력탄성학적 안정성)

  • 한창헌;김승조
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1998.04a
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    • pp.386-391
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    • 1998
  • The effect of the changes in parameter angles(precone, droop, sweep) on the lead-lag damping was focused on. Experiment was made with hingeless 4-blade rotors and NACA 0012 airfoil. For the measurement of the rotating natural frequencies and lead-lag damping, non-rotating swash plate was oscillated at the regressing lag mode frequency and the data were acquired after the excitation was cut off. Analysis was made using a finite element formulation based on Hamilton's principle. The main blade is assumed as elastic beams. Quasi-steady strip theory is used to obtain aerodynamic forces, and non-circulatory forces are also included.

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A Study on Analysis for Bulk Forming of a Single Crystal Milli-Product (단결정 밀리 부품의 입체성형 해석에 관한 연구)

  • Lee Y. S.;Kim Y. I.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2001.05a
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    • pp.245-249
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    • 2001
  • This paper is concerned with numerical analyses for bulk forming of a single crystal milli-product, whose typical size ranges from a few hundreds ${\mu}m$ to a few mm. The numerical formulation invoked in this paper combines the crystal plasticity theory considering texture development and the ductile damage mechanics for growth of micro voids, since orientation development and growth of micro voids become the primary factors for bulk forming of milli-size products. As applications, milli-extrusion of a single crystal round bar and milli-rolling of a single crystal plate are simulated and the results are discussed in detail.

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A modified multi-objective elitist-artificial bee colony algorithm for optimization of smart FML panels

  • Ghashochi-Bargha, H.;Sadr, M.H.
    • Structural Engineering and Mechanics
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    • v.52 no.6
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    • pp.1209-1224
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    • 2014
  • In Current paper, the voltages of patches optimization are carried out for minimizing the power consumption of piezoelectric patches and maximum vertical displacement of symmetrically FML panels using the modified multi-objective Elitist-Artificial Bee Colony (E-ABC) algorithm. The voltages of patches, panel length/width ratios, ply angles, thickness of metal sheets and edge conditions are chosen as design variables. The classical laminated plate theory (CLPT) is considered to model the transient response of the panel, and numerical results are obtained by the finite element method. The performance of the E-ABC is also compared with the PSO algorithm and shows the good efficiency of the E-ABC algorithm. To check the validity, the transient responses of isotropic and orthotropic panels are compared with those available in the literature and show a good agreement.

Application of a new extended layerwise approach to thermal buckling load optimization of laminated composite plates

  • Topal, Umut
    • Steel and Composite Structures
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    • v.14 no.3
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    • pp.283-293
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    • 2013
  • This paper deals with the applicability of a new extended layerwise optimization method for thermal buckling load optimization of laminated composite plates. The design objective is the maximization of the critical thermal buckling of the laminated plates. The fibre orientations in the layers are considered as design variables. The first order shear deformation theory (FSDT) is used for the finite element solution of the laminates. Finally, the numerical analysis is carried out to show the applicability of extended layerwise optimization algorithm of laminated plates for different parameters such as plate aspect ratios and boundary conditions.

Dynamic stability analysis of laminated composite plates in thermal environments

  • Chen, Chun-Sheng;Tsai, Ting-Chiang;Chen, Wei-Ren;Wei, Ching-Long
    • Steel and Composite Structures
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    • v.15 no.1
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    • pp.57-79
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    • 2013
  • This paper studies the dynamic instability of laminated composite plates under thermal and arbitrary in-plane periodic loads using first-order shear deformation plate theory. The governing partial differential equations of motion are established by a perturbation technique. Then, the Galerkin method is applied to reduce the partial differential equations to ordinary differential equations. Based on Bolotin's method, the system equations of Mathieu-type are formulated and used to determine dynamic instability regions of laminated plates in the thermal environment. The effects of temperature, layer number, modulus ratio and load parameters on the dynamic instability of laminated plates are investigated. The results reveal that static and dynamic load, layer number, modulus ratio and uniform temperature rise have a significant influence on the thermal dynamic behavior of laminated plates.

A transport model for high-frequency vibrational power flows in coupled heterogeneous structures

  • Savin, Eric
    • Interaction and multiscale mechanics
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    • v.1 no.1
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    • pp.53-81
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    • 2008
  • The theory of microlocal analysis of hyperbolic partial differential equations shows that the energy density associated to their high-frequency solutions satisfies transport equations, or radiative transfer equations for randomly heterogeneous materials with correlation lengths comparable to the (small) wavelength. The main limitation to the existing developments is the consideration of boundary or interface conditions for the energy and power flow densities. This paper deals with the high-frequency transport regime in coupled heterogeneous structures. An analytical model for the derivation of high-frequency power flow reflection/transmission coefficients at a beam or a plate junction is proposed. These results may be used in subsequent computations to solve numerically the transport equations for coupled systems, including interface conditions. Applications of this research concern the prediction of the transient response of slender structures impacted by acoustic or mechanical shocks.

Dynamic analysis of functionally graded nanocomposite plates reinforced by wavy carbon nanotube

  • Moradi-Dastjerdi, Rasool;Momeni-Khabisi, Hamed
    • Steel and Composite Structures
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    • v.22 no.2
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    • pp.277-299
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    • 2016
  • In this paper, free vibration, forced vibration, resonance and stress wave propagation behavior in nanocomposite plates reinforced by wavy carbon nanotube (CNT) are studied by a mesh-free method based on first order shear deformation theory (FSDT). The plates are resting on Winkler-Pasternak elastic foundation and subjected to periodic or impact loading. The distributions of CNTs are considered functionally graded (FG) or uniform along the thickness and their mechanical properties are estimated by an extended rule of mixture. In the mesh-free analysis, moving least squares (MLS) shape functions are used for approximation of displacement field in the weak form of motion equation and the transformation method is used for imposition of essential boundary conditions. Effects of CNT distribution, volume fraction, aspect ratio and waviness, and also effects of elastic foundation coefficients, plate thickness and time depended loading are examined on the vibrational and stresses wave propagation responses of the nanocomposite plates reinforced by wavy CNT.