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Vibration and buckling of laminated beams by a multi-layer finite element model

  • Kahya, Volkan;Turan, Muhittin
    • Steel and Composite Structures
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    • v.28 no.4
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    • pp.415-426
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    • 2018
  • This paper presents a multi-layer finite element for buckling and free vibration analyses of laminated beams based on a higher-order layer-wise theory. An N-layer beam element with (9N + 7) degrees-of-freedom is proposed for analyses. Delamination and slip between the layers are not allowed. Element matrices for the single- and multi-layer beam elements are derived by Lagrange's equations. Buckling loads and natural frequencies are calculated for different end conditions and lamina stacking. Comparisons are made to show the accuracy of proposed element.

A spectrally formulated finite element method for vibration of a tubular structure

  • Horr, A.M.;Schmidt, L.C.
    • Structural Engineering and Mechanics
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    • v.4 no.3
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    • pp.209-226
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    • 1996
  • One of the major divisions in the mathematical modelling of a tubular structure is to include the effect of the transverse shear stress and rotary inertia in vibration of members. During the past three decades, problems of vibration of tubular structures have been considered by some authors, and special attention has been devoted to the Timoshenko theory. There have been considerable efforts, also, to apply the method of spectral analysis to vibration of a structure with rectangular section beams. The purpose of this paper is to compare the results of the spectrally formulated finite element analyses for the Timoshenko theory with those derived from the conventional finite element method for a tubular structure. The spectrally formulated finite element starts at the same starting point as the conventional finite element formulation. However, it works in the frequency domain. Using a computer program, the proposed formulation has been extended to derive the dynamic response of a tubular structure under an impact load.

The Enhancement of Critical Thinking Skill by the Logical Thinking Skill about the Elementary School's Pupil through the Activities of 'Thinking Science' ('생각하는 과학' 활동을 경험한 초등 학생들의 논리 사고력 측면의 비판적 사고력 신장)

  • Yang, Haeyeoung;Kang, Soonhee
    • Journal of Korean Elementary Science Education
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    • v.32 no.4
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    • pp.485-494
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    • 2013
  • The purpose of this study was to know that the 'Thinking Science' activities affects the enhancement of critical thinking skill by the logical thinking skill about pupils in the $5^{th}$ and $6^{th}$ grade of elementary school in Korea. The 19 activities of 'Thinking Science' as the teaching materials was implemented to 40 pupils in elementary school over 13 weeks. Results indicated that the experimental group presented statistically meaningful improvement in logical thinking skills(p<.05). Those teaching materials contributed to improve 3 logical sub-elements significantly(p<.05) as the proportional logical element, the probabilistic logical element, and combinational logical element. But, there was no significant improvement in conservational logical element, control of variable element, and correlational element(p<.05).

Finite Element Analysis of Air Springs with Fiber-Reinforced Rubber Composites Using 3-D Shell Elements (3차원 셸 요소를 이용한 섬유보강 고무모재 공기 스프링의 유한요소해석)

  • Lee, Hyoung-Wook;Huh, Hoon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.4
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    • pp.602-609
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    • 2001
  • This paper is concerned with the orthotropic problem of diaphragm-type air springs which consist of rubber linings, nylon reinforced rubber composite and bead ring. The analysis is carried out with a finite element method developed to consider the orthotropic properties, geometric nonlinearity using four-node degenerated shell element with reduced integration. Physical stabilization scheme is used to control the zeroenergy mode of the element. The analysis includes an inflation analysis and a lateral analysis of an air spring for the deformed shape and the spring load with respect to the vertical and l ateral deflection. Numerical results demonstrate the variation of the outer diameter, the fold height, the vertical force and the lateral force with respect to the inflation pressure and the lateral deflection.

An 8-node assumed strain element with explicit integration for isotropic and laminated composite shells

  • Kim, K.D.;Park, T.H.
    • Structural Engineering and Mechanics
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    • v.13 no.4
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    • pp.387-410
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    • 2002
  • Formulation of an 8 nodes assumed strain shell element is presented for the analysis of shells. The stiffness matrix based on the Mindlin-Reissner theory is analytically integrated through the thickness. The element is free of membrane and shear locking behavior by using the assumed strain method such that the element performs very well in modeling of thin shell structures. The material is assumed to be isotropic and laminated composite. The element has six degrees of freedom per node and can model the stiffened plates and shells. A great number of numerical testing carried out for the validation of present 8 node shell element are in good agreement with references.

A New and Efficient C0 Laminated Curved Beam Element (효율적인 C0 적층 곡선보 요소의 개발)

  • Kim, Jin-Gon;Kang, Sang-Wook
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.4
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    • pp.559-566
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    • 2003
  • In this study, we present a new highly accurate two-dimensional curved composite beam element. The present element, which is based on the Hellinger-Reissner variational principle and classical lamination theory, employs consistent stress parameters corresponding to cubic displacement polynomials with additional nodeless degrees to resolve the numerical difficulties due to the spurious constraints. The stress parameters are eliminated and the nodeless degrees are condensed out to obtain the (9x9) element stiffness matrix. It should be noted that the stacking sequences without transverse deformation to the load plane makes a two dimensional analysis of curved composite beams practically useful . Several numerical examples confirm the superior locking-free behavior of the present higher-order laminated curved beam element.

Vibration Analysis of the Pipeline with Internal Unsteady Fluid Flow by Using Spectral Element Method (스펙트럴요소법을 이용한 내부 비정상류를 갖는 파이프에 대한 진동해석)

  • Seo, Bo-Sung;Cho, Joo-Yong;Lee, U-Sik
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.16 no.4 s.109
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    • pp.387-393
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    • 2006
  • In this paper, a spectral element model is developed for the uniform straight pipelines conveying internal unsteady fluid flow. The spectral element matrix is formulated by using the exact frequency-domain solutions of the pipe-dynamics equations. The spectral element dynamic analysis is then conducted to evaluate the accuracy of the present spectral element model and to investigate the vibration characteristics and internal fluid characteristics of an example pipeline system.

Three dimensional non-conforming 8-node solid elements with rotational degrees of freedom

  • Choi, Chang-Koon;Chung, Keun-Young;Lee, Nam-Ho
    • Structural Engineering and Mechanics
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    • v.4 no.5
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    • pp.569-586
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    • 1996
  • A new three-dimensional 8-node solid element with rotational degrees of freedom is presented. The proposed element is established by adding rotational degrees of freedom to the basic 8-node solid element. Thus the element has three translations and three rotational degrees of freedom per node. The corner rotations are introduced by transforming the hierarchical mid-edge displacements which are parabolic shape along an edge. The derivation of the element is based on the mixed variational principles in which the rotations are introduced as independent variables. Several types of non-conforming modes are selectively added to the displacement fields to obtain a series of improved elements. The resulting elements do not have the spurious zero energy modes and Poisson's ratio locking and pass patch test. Numerical examples show that presented non-conforming solid elements with rotational degrees of freedom show good performance even in the highly distorted meshes.

The Wide-band Two-element Microstrip Slot Array Antenna with the Cross-shaped Feedline

  • Shin, Ho-Sub;Kim, Nam;Jang, Yong-Woong
    • Proceedings of the IEEK Conference
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    • 2000.07a
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    • pp.163-166
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    • 2000
  • The design, numerical simulation, and an experimental implementation of two-element cross-shaped microstrip line-fed printed slot array antenna for IMT-2000 at the 2.0 GHz band is presented in this paper. The proposed antenna with relative permittivity 4.3 and thickness 1.0mm is analyzed by the Finite-Difference Time-Domain (FDTD) method. It was shown that the measured 2.0 VSWR bandwidth of one-element microstrip slot antenna is from 1.42 GHz to 2.69 GHz, which is approximately 61.8% and that of two-element microstrip slot array antenna is from 1.42 GHz to 2.56 GHz, which is approximately 57.3% And it was shown that the measured gain of one-element microstrip slot antenna is 2.75 dBi and that of two-element microstrip slot antenna is 4.75 dEi. The antennas were fabricated and tested. The measured results are in good agreements with the FDTD results.

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New eight node serendipity quadrilateral plate bending element for thin and moderately thick plates using Integrated Force Method

  • Dhananjaya, H.R.;Pandey, P.C.;Nagabhushanam, J.
    • Structural Engineering and Mechanics
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    • v.33 no.4
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    • pp.485-502
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    • 2009
  • A new 8-node serendipity quadrilateral plate bending element (MQP8) based on the Mindlin-Reissner theory for the analysis of thin and moderately thick plate bending problems using Integrated Force Method is presented in this paper. The performance of this new element (MQP8) is studied for accuracy and convergence by analyzing many standard benchmark plate bending problems. This new element MQP8 performs excellent in both thin and moderately thick plate bending situations. And also this element is free from spurious/zero energy modes and free from shear locking problem.