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Series solutions for spatially coupled buckling anlaysis of thin-walled Timoshenko curved beam on elastic foundation

  • Kim, Nam-Il
    • Structural Engineering and Mechanics
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    • v.33 no.4
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    • pp.447-484
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    • 2009
  • The spatially coupled buckling, in-plane, and lateral bucking analyses of thin-walled Timoshenko curved beam with non-symmetric, double-, and mono-symmetric cross-sections resting on elastic foundation are performed based on series solutions. The stiffness matrices are derived rigorously using the homogeneous form of the simultaneous ordinary differential equations. The present beam formulation includes the mechanical characteristics such as the non-symmetric cross-section, the thickness-curvature effect, the shear effects due to bending and restrained warping, the second-order terms of semitangential rotation, the Wagner effect, and the foundation effects. The equilibrium equations and force-deformation relationships are derived from the energy principle and expressions for displacement parameters are derived based on power series expansions of displacement components. Finally the element stiffness matrix is determined using force-deformation relationships. In order to verify the accuracy and validity of this study, the numerical solutions by the proposed method are presented and compared with the finite element solutions using the classical isoparametric curved beam elements and other researchers' analytical solutions.

The Study of the insulation Charateristic in $SF_6$+$N_2$ mixture gas ($SF_6$+$N_2$ 혼합기체의 절연특성에 관한 연구)

  • 박명진;전병훈;하성철
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2000.07a
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    • pp.592-595
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    • 2000
  • The electron transport coefficients in $SF_6$+$N_2$ gas is analyzed in range of E/P values from 70~240(V/cm $Torr^{-1}$) at 2$0^{\circ}C$ by Boltzmann method that using set of electron collision cross sections determined by authors. The result of this Boltzmann simulation such as ionisation coefficient, attachment coefficient, effective ionisation coefficient and breakdown voltage are in nearly agreement with the respective experimental and theoretical for a range of E/P.

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Monte carlo simulation for electron transport characteristics in sulphur hexaflouride ($SF_6$ 가스의 전자수송특성에 관한 몬테칼로시뮬레이션)

  • 하성철;서상현
    • Electrical & Electronic Materials
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    • v.9 no.7
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    • pp.660-667
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    • 1996
  • The electron transport characteristics in $SF_6$ gas is calculated for range of E/N values from 150 -800(Td) by the Monte Carlo simulation using a set of electron collision cross sections determined by the authors. The results suggest that the value of an electron swarm parameter such as the electron drift velocity, the electron ionization or attachment coefficients, longitudinal and transverse diffusion coefficients in nearly agreement with the respective experimental and theoretical for a range of E/N. The electron energy distributions function were analysed in sulphur hexaflouride at E/N:500 and 800(Td) for a case of the equilibrium region in the mean electron energy. The validity of the results obtained has been confirmed by a Time of Flight method also investigated as a set of electron collision cross section for sulphur Hexaflouride.

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Vortex excitation model. Part II. application to real structures and validation

  • Lipecki, T.;Flaga, A.
    • Wind and Structures
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    • v.16 no.5
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    • pp.477-490
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    • 2013
  • This paper presents results of calculations performed according to our own semi-empirical mathematical model of critical vortex excitation. All calculations are carried out using own computer program, which allows the simulation of both the across-wind action caused by vortices and the lateral response of analysed structures. Vortex excitation simulations were performed in real time taking into account wind-structure interaction. Several structures of circular cross-sections were modelled using a FEM program and calculated under the action of critical vortex excitation. Six steel chimneys, six concrete chimneys and two concrete towers were considered. The method of selection and estimation of the experimental parameters describing the model are also presented. Finally, the results concerning maximum lateral top displacements of the structures are compared with available full-scale data for steel and concrete chimneys.

Vortex excitation model. Part I. mathematical description and numerical implementation

  • Lipecki, T.;Flaga, A.
    • Wind and Structures
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    • v.16 no.5
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    • pp.457-476
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    • 2013
  • This paper presents theoretical background for a semi-empirical, mathematical model of critical vortex excitation of slender structures of compact cross-sections. The model can be applied to slender tower-like structures (chimneys, towers), and to slender elements of structures (masts, pylons, cables). Many empirical formulas describing across-wind load at vortex excitation depending on several flow parameters, Reynolds number range, structure geometry and lock-in phenomenon can be found in literature. The aim of this paper is to demonstrate mathematical background of the vortex excitation model for a theoretical case of the structure section. Extrapolation of the mathematical model for the application to real structures is also presented. Considerations are devoted to various cases of wind flow (steady and unsteady), ranges of Reynolds number and lateral vibrations of structures or their absence. Numerical implementation of the model with application to real structures is also proposed.

Basic study on the gas discharge panel for LCD and PDP (PDP와 LCD에서의 가스방전 페널에 대한 기초연구)

  • Song, Byoung-Doo;Ha, Sung-Chul;Jeon, Byung-Hoon
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2003.11a
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    • pp.554-557
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    • 2003
  • This paper describes the information for quantitative simulation of weakly ionized plasma. We should grasp the meaning of the plasma state condition to utilize engineering application and to understand materials of plasma state. In this paper, electron swarm parameter in He+Xe and Ar+He mixture gas calculated for range E/N values $0.01{\sim}500$ [Td] at the temperature is 300 [K] and pressure is 1 [Torr], using a set of electron collision cross sections determined by the authors, and using a method of Backward Prolongation by two term approximation Boltzmann equation method, for basic study on the gas discharge panel.

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Three-dimensional Reconstruction of Textile Structure Using Discrete Cross Sectional Images to Analyze Fabric Weave Structure

  • Shinohara, Toshihiro;Takayama, Jun-Ya;Ohyama, Shinji;Kobayashi, Akira
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.35.1-35
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    • 2001
  • The aim of our study is to automatically analyze how textile is woven which has complicated structure, such as textile with multi-layer structure. For this purpose, we propose a method to reconstruct a textile structure of a textile is visualized. Then, the anteroposterior sections of the same yarn on the cross sectional images is associated each other by superimposing them. Therefore, by this method, 3-D information of each yarn is obtained and the 3-D shape of each yarn is independently expressed. In this research, a 3-D reconstruction of a plain weave fabric is performed.

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Dissociative Recombination Rates of O₂+ Ion with Low Energy Electrons

  • 성정희;선호성
    • Bulletin of the Korean Chemical Society
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    • v.17 no.11
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    • pp.1065-1073
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    • 1996
  • The dissociative recombination of O2+(v+)+e-→O(1S)+O(1D) has been theoretically investigated using the multichannel quantum defect theory (MQDT). Cross sections and rate coefficients at various electron energies are calculated. The resonant structures in cross section profile, which are hardly measurable in experiments, are also determined and the existence of Rydberg states is found to affect the rates. The theoretical rate coefficients are computed to be smaller than experimental ones. The reasons for this difference are explained. The two-step MQDT procedure is found to be very useful and promising in calculating the state-to-state rates of the dissociative recombination reaction which is a very important and frequently found phenomenon in Earth's ionosphere.

A semi-analytical FE method for the 3D bending analysis of nonhomogeneous orthotropic toroidal shells

  • Wu, Chih-Ping;Li, En
    • Steel and Composite Structures
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    • v.39 no.3
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    • pp.291-306
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    • 2021
  • Based on Reissner's mixed variational theorem (RMVT), the authors develop a semi-analytical finite element (FE) method for a three-dimensional (3D) bending analysis of nonhomogeneous orthotropic, complete and incomplete toroidal shells subjected to uniformly-distributed loads. In this formulation, the toroidal shell is divided into several finite annular prisms (FAPs) with quadrilateral cross-sections, where trigonometric functions and serendipity polynomials are used to interpolate the circumferential direction and meridian-radial surface variations in the primary field variables of each individual prism, respectively. The material properties of the toroidal shell are considered to be nonhomogeneous orthotropic over the meridianradial surface, such that homogeneous isotropic toroidal shells, laminated cross-ply toroidal shells, and single- and bi-directional functionally graded toroidal shells can be included as special cases in this work. Implementation of the current FAP methods shows that their solutions converge rapidly, and the convergent FAP solutions closely agree with the 3D elasticity solutions available in the literature.

On the analysis of delamination in multilayered inhomogeneous rods under torsion

  • Rizov, Victor I.
    • Coupled systems mechanics
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    • v.8 no.5
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    • pp.377-391
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    • 2019
  • The present paper is focused on analyzing the delamination of inhomogeneous multilayered rods of circular cross-section loaded in torsion. The rods are made of concentric longitudinal layers of individual thickness and material properties. A delamination crack is located arbitrary between layers. Thus, the internal and external crack arms have circular and ring-shaped cross-sections, respectively. The layers exhibit continuous material inhomogeneity in radial direction. Besides, the material has non-linear elastic behavior. The delamination is analyzed in terms of the strain energy release rate. General solution to the strain energy release rate is derived by considering the energy balance. The solution is applied to analyze the delamination of cantilever rod. For verification, the strain energy release rate is derived also by considering the complementary strain energy.