• Title/Summary/Keyword: Two-Dimensional Beam

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Analytical solutions to piezoelectric bimorphs based on improved FSDT beam model

  • Zhou, Yan-Guo;Chen, Yun-Min;Ding, Hao-Jiang
    • Smart Structures and Systems
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    • v.1 no.3
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    • pp.309-324
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    • 2005
  • This paper presents an efficient and accurate coupled beam model for piezoelectric bimorphs based on improved first-order shear deformation theory (FSDT). The model combines the equivalent single layer approach for the mechanical displacements and a layerwise modeling for the electric potential. General electric field function is proposed to reasonably approximate the through-the-thickness distribution of the applied and induced electric potentials. Layerwise defined shear correction factor (k) accounting for nonlinear shear strain distribution is introduced into both the shear stress resultant and the electric displacement integration. Analytical solutions for free vibrations and forced response under electromechanical loads are obtained for the simply supported piezoelectric bimorphs with series or parallel arrangement, and the numerical results for various length-to-thickness ratios are compared with the exact two-dimensional piezoelasticity solution. Excellent predictions with low error estimates of local and global responses as well as the modal frequencies are observed.

Simulation of the Dynamic Interaction Between Maglev and Guideway using a Flexible Beam Model (유연보 모델에 의한 자기부상열차/궤도 동적 상호작용 시뮬레이션)

  • Han Hyung-Suk;Lee Jong-Min;Kim Dong-Sung;Kim Bong-Sup
    • Proceedings of the KSR Conference
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    • 2004.10a
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    • pp.357-362
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    • 2004
  • Maglev vehicles, which are levitated and propelled by electromagnets, often run on elevated guideways comprised of steel, aluminum and concrete. Therefore, an analysis .of the dynamic interaction between the Maglev vehicle and the guideway is needed in the design of the critical speed, ride, controller design and weight reduction of the guideway. This study proposes a dynamic interaction simulation technique using a flexible beam model based on multi-body dynamics. The vehicle and the elevated guideway are represented as a multi-body dynamics model and a two-dimensional flexible beam, respectively. The proposed model was applied to an urban transit Maglev vehicle, UTM01, which is undergoing test drive. As a result of the proposed method, we concluded that it is possible to analyze the dynamic interaction between the Maglev vehicle and the guideway.

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Study of 2-D laser heating with multiple beam profiles and ignition of energetic material (고에너지 빔 분포 형상을 고려한 폭약의 2-D 가열과 점화 연구)

  • Lee, Kyung-Cheol;Choi, Yoon-Soo;Kim, Hyung-Won;Choi, Jeong-Yeol;Yoh, Jai-Ick
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2008.11a
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    • pp.51-54
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    • 2008
  • Various types of beam distributions of high energy lasers are classified by the mode patterns. We study two dimensional laser initiation of confined energetic materials with multiple beam profiles.

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Analytical solutions to magneto-electro-elastic beams

  • Jiang, Aimin;Ding, Haojiang
    • Structural Engineering and Mechanics
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    • v.18 no.2
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    • pp.195-209
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    • 2004
  • By means of the two-dimensional basic equations of transversely isotropic magneto-electro-elastic media and the strict differential operator theorem, the general solution in the case of distinct eigenvalues is derived, in which all mechanical, electric and magnetic quantities are expressed in four harmonic displacement functions. Based on this general solution in the case of distinct eigenvalues, a series of problems is solved by the trial-and-error method, including magneto-electro-elastic rectangular beam under uniform tension, electric displacement and magnetic induction, pure shearing and pure bending, cantilever beam with point force, point charge or point current at free end, and cantilever beam subjected to uniformly distributed loads. Analytical solutions to various problems are obtained.

Sensitivity Analysis of Heat Source Parameter for Predicting Residual Stress Induced by Electron Beam Welding (스테인리스강에 대한 전자빔 용접 잔류응력 예측을 위한 열원 변수 민감도 해석)

  • Shin Je Park;Hune Tae Kim;Yun Jae Kim
    • Transactions of the Korean Society of Pressure Vessels and Piping
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    • v.18 no.2
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    • pp.61-68
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    • 2022
  • Accurate evaluation of residual stress is important for stress corrosion cracking assessment. In this paper, electron beam welding experiment is simulated via finite element analysis and the sensitivity of the parameters related to the combined heat source model is investigated. Predicted residual stresses arecompared with measured residual stresses. It is found that the welding efficiency affects the size of the tensile residual stress area and the magnitude of maximum longitudinal residual stress. It is also found that the parameter related to the ratio of energy distributed to the two-dimensional heat source has little effect on the size of tthe tensile residual stress area, but affects the size of the longitudinal residual stress in the center of the weld.

A new 3D interface element for three dimensional finite element analysis of FRP strengthened RC beams

  • Kohnehpooshi, O.;Noorzaei, J.;Jaafar, M.S.;Saifulnaz, M.R.R.
    • Interaction and multiscale mechanics
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    • v.4 no.4
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    • pp.257-271
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    • 2011
  • The analysis of interfacial stresses in structural component has been the subject of several investigations but it still requires more effort and studies. In this study a general three-dimensional interface element has been formulated for stress and displacement analyses in the interfacial area between two adjacent plate bending element and brick element. Interface element has 16 nodes with 5 degrees of freedom (DOF) in each node adjacent to plate bending element and 3 DOF in each node adjacent to brick element. The interface element has ability to transfer three translations from each side of interface element and two rotations in the side adjacent to the plate element. Stiffness matrix of this element was formulated and implemented in three-dimensional finite element code. Application of this element to the reinforced concrete (RC) beam strengthened with fiber reinforced polymer (FRP) including variation of deflection, slip between plate and concrete, normal and shear stresses distributions in FRP plates have been verified using experimental and numerical work of strengthened RC beams carried out by some researchers. The results show that this interface element is effective and can be used for structural component with these types of interface elements.

Cone-beam CT superimposition and visualization using open-source softwares (오픈-소스 소프트웨어를 이용한 콘빔 전산화단층영상의 중첩 및 시각화)

  • Jeon, Woo-Ram;Lim, Sung-Hoon
    • The Journal of the Korean dental association
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    • v.56 no.10
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    • pp.538-547
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    • 2018
  • ITK-SNAP (http://www.itksnap.org) and 3D Slicer (CMFreg extension module; www.slicer.org) are open-source softwares which can be used for superimposition of cone-beam CT images. For superimposition, segmentation of bone is done with ITK-SNAP, and then voxel based superimposition of CBCT images can be performed using 3D Slicer. 3D Slicer has various visualization modules which are not provided in common commercial programs. 'Models' module is used to visualize two overlapping three-dimensional images, and this allows various visualizations by changing view mode and color of the model. In addition, differences between two CBCT images can be represented in a color map using 'ShapePopulationViewer' module. This report introduces how to superimpose and visualize CBCT images using ITK-SNAP and 3D Slicer, and the usefulness and limitations of both softwares will be discussed in comparison with commercial softwares.

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Crack propagation and deviation in bi-materials under thermo-mechanical loading

  • Chama, Mourad;Boutabout, Benali;Lousdad, Abdelkader;Bensmain, Wafa;Bouiadjra, Bel Abbes Bachir
    • Structural Engineering and Mechanics
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    • v.50 no.4
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    • pp.441-457
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    • 2014
  • This paper presents a finite element based numerical model to solve two dimensional bi-material problems. A bi-material beam consisting of two phase materials ceramic and metal is modelled by finite element method. The beam is subjected simultaneously to mechanical and thermal loadings. The main objective of this study is the analysis of crack deviation located in the brittle material near the interface. The effect of temperature gradient, the residual stresses and applied loads on crack initiation, propagation and deviation are examined and highlighted.

Effect of Structural Elasticity on Slamming Against Wetdecks of Multihull Vessels

  • Kvalsvold, Jan;Faltinsen, Odd M.;Aarsnes, Jan V.
    • Journal of Ship and Ocean Technology
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    • v.1 no.1
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    • pp.1-14
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    • 1997
  • Hydroelastic slamming against the wetdeck of a multihull vessel is studied numerically and experimentally. The beam equations and a two-dimensional flow model are used to find the dynamic stresses in longitudinal stiffeners between two transverse stiffeners. The largest stresses in the structure occur in the time scale of the lowest wet natural period of the beam. A simple relation between the maximum stress, the local geometry and the impact velocity of the wetdeck is established. The stresses in the wetdeck are neither sensitive to the radius of curvature of the waves nor where the waves initially hit the wetdeck. It is concluded that the maximum impact pressure should not be used to find maximum bending stresses during wetdeck slamming.

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Optical Properties of Long Wave Infrared Spoof Plasmon using Hexagonal Periodic Silver Hole Arrays

  • Lee, Byungwoo;Kwak, Hoe Min;Kim, Ha Sul
    • Applied Science and Convergence Technology
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    • v.25 no.2
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    • pp.42-45
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    • 2016
  • A two-dimensional metal hole array (2DMHA) structure is fabricated by conventional photo-lithography and electron beam evaporation. The transmittance of the 2DMHA is measured at long wave infrared (LWIR) wavelengths (${\lambda}{\sim}10$ to $24{\mu}m$). The 2DMHA sample shows transmittance of 70 and 67% at $15.4{\mu}m$ due to plasmonic resonance with perforated silver and gold thin films, respectively, under surface normal illumination at LWIR wavelengths. The measured infrared spectrum is separated into two peaks when the size of the hole becomes larger than a half-pitch of the hole array. Six degenerated plasmon modes (1,0) at the metal/Si surface split to three modes at an incident beam angle of $45^{\circ}$ with respect to the surface normal direction, and wavelength shifts of the transmitted spectrum are observed in a red shift and blue shift at the same time.