• Title/Summary/Keyword: cross section shape

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Free Vibration Analysis of Thin-walled Curved Beams with Unsymmetric Cross-section (비대칭 단면을 갖는 박벽 곡선보의 자유진동 해석)

  • 김문영
    • Journal of the Earthquake Engineering Society of Korea
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    • v.3 no.1
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    • pp.41-54
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    • 1999
  • For free vibration of non-symmetric thin-walled circular arches including restrained warping effect, the elastic strain and kinetic energy is derived by introducing displacement fields of circular arches in which all displacement parameters are defined at the centroid axis. The cubic Hermitian polynomials are utilized as shape functions for development of the curved thin-walled beam element having eight degrees of freedom. Analytical solution for in-plane free vibration behaviors of simply supported thin-walled curved beams with monosymmetric cross-sections is newly derived. Also, a finite element formulation using two noded curved beams element is presented by evaluating elastic stiffness and mass matrices. In order to illustrate the accuracy and practical usefulness of this study, analytical and numerical solutions for free vibration of circular arches are presented and compared with solutions analyzed by the straight beam element and the ABAQUS's shell element.

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Free vibration analysis of combined system with variable cross section in tall buildings

  • Jahanshahia, Mohammad Reza;Rahgozar, Reza
    • Structural Engineering and Mechanics
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    • v.42 no.5
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    • pp.715-728
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    • 2012
  • This paper deals with determining the fundamental frequency of tall buildings that consist of framed tube, shear core, belt truss and outrigger systems in which the framed tube and shear core vary in size along the height of the structure. The effect of belt truss and outrigger system is modeled as a concentrated rotational linear spring at the belt truss and outrigger system location. Many cantilevered tall structures can be treated as cantilevered beams with variable cross-section in free vibration analysis. In this paper, the continuous approach, in which a tall building is replaced by an idealized cantilever continuum representing the structural characteristics, is employed and by using energy method and Hamilton's variational principle, the governing equation for free vibration of tall building with variable distributed mass and stiffness is obtained. The general solution of governing equation is obtained by making appropriate selection for mass and stiffness distribution functions. By applying the separation of variables method for time and space, the governing partial differential equation of motion is reduced to an ordinary differential equation with variable coefficients with the assumption that the transverse displacement is harmonic. A power-series solution representing the mode shape function of tall building is used. Applying boundary conditions yields the boundary value problem; the frequency equation is established and solved through a numerical process to determine the natural frequencies. Computer program has been developed in Matlab (R2009b, Version 7.9.0.529, Mathworks Inc., California, USA). A numerical example has been solved to demonstrate the reliability of this method. The results of the proposed mathematical model give a good understanding of the structure's dynamic characteristics; it is easy to use, yet reasonably accurate and suitable for quick evaluations during the preliminary design stages.

Model on the Elastic Behavior of Spectacle Frame (안경테 및 의료용구에 관한 연구 - 안경테의 탄성해석에 관한 모델 -)

  • Kim, DaeSoo
    • Journal of Korean Ophthalmic Optics Society
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    • v.5 no.2
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    • pp.127-138
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    • 2000
  • Differential equations and their solutions were formulated to describe the deflection of both temples and front frames and the pressure exerted by them varying parameters such as elastic modulus, thickness, length, width and shape of crosssection. The effect of such parameters on the deflections of both temples and front frames was illustrated by plotting the solutions of the derived equations. Deflection of temples was found to be maximum where the cross section was diamond-shaped and to be minimum with the rectangular cross section while thickness and cross section area of temples remain constant. The effect of parameters consisting of front frame on the deflection of front frames are very similar to those on temples. The central deflection and pressure of front frame initiated by the temple decreases as the length of temple increases. Detailed analysis of stresses at various parts of the temple will help design custom made spectacle frame as well as most comfortable frames.

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Development of a Fast Neutron Detector (속중성자 탐지용 반도체 소자 개발)

  • 이남호;김승호;김양모
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.52 no.12
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    • pp.545-552
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    • 2003
  • When a Si PIN diode is exposed to fast neutrons, it results in displacement damage to the Si lattice structure of the diode. Defects induced from structural dislocation become effective recombination centers for carriers which pass through the base of a PIN diode. Hence, increasing the resistivity of the diode decreases the current for the applied forward voltage. This paper involves the development of a neutron sensor based on the phenomena of the displacement effect damaged by neutron exposure. The neutron effect on the semiconductor was analyzed. Several PIN diode arrays with various thickness and cross-section area of the intrinsic layer(I layer) were fabricated. Under irradiation tests with a neutron beam, the manufactured diodes have a good linearity to neutron dose and show that the increase of thickness of I layer and the decrease of cross-section of PIN diodes improve the sensitivity. Newly developed PIN diodes with thicker I layer and various cross section, were retested and then showed the best neutron sensitivity at the condition that the I layer thickness was similar to a side length. On the basis of two test results, final discrete PIN diodes with a rectangular shape were manufactured and the characteristics as neutron detectors were analyzed through the neutron beam test using on-line electronic dosimetry system. Developed PIN diode shows a good linearity as dosimetry in the range of 0 to 1,000cGy(Tissue) and its neutron sensitivity is 13mV/cGy at constant current of 5mA, that is three times higher than that of commercially available neutron detectors. And the device shows little dependency on the orientation of the neutron beam and a considerable stability in annealing test for a long period.

A Comparison of Tunnel Lighting Environment according Road Tunnel Cross section Shape (단면 형태에 따른 터널의 조명환경 비교)

  • Kim, Sung-Sik;Yi, Chin-Woo
    • Proceedings of the Korean Institute of IIIuminating and Electrical Installation Engineers Conference
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    • 2005.05a
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    • pp.181-184
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    • 2005
  • 본 논문에서는 말굽형과 장방형 터널의 기본부의 노면과 벽면의 조도를 Lightscape를 사용하여 계산하였으며, 계산된 결과를 분석하여 보면 노면의 평균조도와 평균균제도는 두 가지 터널 사이에 큰 차이가 없었으며, 벽면조도는 노면에서 높아질수록 두 가지 터널에서 차이가 커지는 것으로 나타났다.

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An experimental study on th reinforced concrete filled tubular column to steel H-beam connections with outer diaphram by simplified connection type (철근콘크리트충전 강관기둥과 외부다이아프램을 보강한 H형강 보 접합부의 단순모형에 의한 실험연구)

  • 김인덕;최병극;박성무
    • Proceedings of the Korea Concrete Institute Conference
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    • 1997.10a
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    • pp.587-596
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    • 1997
  • This study is concerning the structural behavior of reinforced concrete filled tubular column to steel H-beam connections with outer diaphram by simplified connection type. The important parameters of this study are the cross-section shape of tubular column and the spacing of hoop (60mm, 30mm, 20mm) and the concrete filled or not. The experimental results are summarized for the strength and displacement of each specimen.

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Design and demonstrators testing of adaptive airfoils and hingeless wings actuated by shape memory alloy wires

  • Mirone, Giuseppe
    • Smart Structures and Systems
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    • v.3 no.1
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    • pp.89-114
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    • 2007
  • Two aspects of the design of a small-scale smart wing are addressed in this work, related to the ability of the wing to modify its cross section assuming the shape of two different airfoils and to the possibility of deflecting the profiles near the trailing edge in order to obtain hingeless control surfaces. The actuation is provided by one-way shape memory alloy wires eventually coupled to springs, Shape Memory Alloys (SMAs) being among the most promising materials for this kind of applications. The points to be actuated along the profiles and the displacements to be imposed are selecetd so that they satisfactorily approximate the change from an airfoil to the other and to result in an adequate deflection of the control surface; the actuators and their performances are designed so that an adequate wing stiffness is guaranteed, in order to prevent excessive deformations and undesired airfoil shape variations due to aerodynamic loads. The effect of the pressure distributions, calculated by way of the XFOIL software, and of the actuators loads, is estimated by FE analyses of the loaded wing. Two prototypes are then realised incorporating the variable airfoil and the hingeless aileron features respectively, and the verification of their shapes in both the actuated and non-actuated states, supported by image analysis techniques, confirms that interesting results are achievable with the proposed lay out and design considerations.

Three Dimensional Last Data Generation System Utilizing Cross Sectional Free Form Deformation (단면 분할 FFD를 이용한 3D 라스트 데이터 생성시스템 개발)

  • Kim, Si-Kyung;Park, In-Duck
    • Journal of Institute of Control, Robotics and Systems
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    • v.11 no.9
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    • pp.768-773
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    • 2005
  • A new approach for human foot modelling and last design based on the cross sectional method is presented in this paper. The proposed last design method utilizes the dynamic trimmed parametric patches for the foot 3D data and last 3D data. The cross section a surface of 3D foot for the 3D last, design modeling of free form geometric last shapes. The proposed last design scheme wraps the 3D last data surrounding the measured 3D foot data with the effect of deforming the last design rule The last design rule of the FFD is constructed on the FFD lattice based on foot-last shape analysis. In addition, the control points of FFD lattice are constructed with cross sectional data interpolation methods from the a finite set of 3D foot data. The deformed 3D last result obtained from the proposed FFD is saved as a 3D dxf foot data. The experimental results demonstrate that the last designed with the proposed scheme has good performance.

Free Vibrations of Timoshenko Beam with Constant Volume (일정체적 Timoshenko 보의 자유진동)

  • Lee, Byoung-Koo;Lee, Tae-Eun;Yoon, Hee-Min
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.22 no.3
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    • pp.223-233
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    • 2012
  • This paper deals with free vibrations of the tapered Timoshenko beam with constant volume, in which both the rotatory inertia and shear deformation are included. The cross section of the tapered beam is chosen as the regular polygon cross section whose depth is varied with the parabolic function. The ordinary differential equations governing free vibrations of such beam are derived based on the Timoshenko beam theory by decomposing the displacements. Governing equations are solved for determining the natural frequencies corresponding with their mode shapes. In the numerical examples, three end constraints of the hinged-hinged, hinged-clamped and clamped-clamped ends are considered. The effects of various beam parameters on natural frequencies are extensively discussed. The mode shapes of both the deflections and stress resultants are presented, in which the composing rates due to bending rotation and shear deformation are determined.

Sapphire single crystal growth by the modified heat exchanger method : I. Preparation with the square cross-section (수정된 열교환법에 의한 sapphire 단결정의 성장 : I. 사각단면 단결정의 제조)

  • 이민상;김성균;김동익;진영철
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.8 no.1
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    • pp.1-9
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    • 1998
  • In this study, we have investigated the preparation conditions of 45$\times$45$\times$20(mm) square cross-section sapphire single crystal by the modified heat exchanger method using water as a coolant. Melting and solidification processes were optimized by the systematic change of the chamber pressure with the heater temperature. As a results, solidification temperature was between 1960 and $1970^{\circ}C$. The crucible was formed by handling. Therefore its shape should had the 'spiral type' ear at edge of its side. Heat exchanger affected to the temperature distribution and gradient of molten alumina. Heat flux and unmelted seed were controlled by volume of heat exchanger. Voids were controlled by the cooling rate of the heater below $0.2^{\circ}C$/min.

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