• Title/Summary/Keyword: 탄성 보

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Nanoindentation Experiments on MEMS Device (Nanoindenter를 이용한 MEMS 제품의 기계적 특성 측정)

  • 한준희;박준협;김광석;이상율
    • Journal of the Korean Ceramic Society
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    • v.40 no.7
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    • pp.657-661
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    • 2003
  • The elastic moduli or fracture strengths of multi-layered film (SiO$_2$/po1y-Si/SiN/SiO$_2$, 2.77 $\mu\textrm{m}$ thick), CVD diamond film (1.6 $\mu\textrm{m}$ thick), SiO$_2$ film (1.0 $\mu\textrm{m}$ thick) and SiN film (0.43 $\mu\textrm{m}$ thick) made for the membrane of ink-jet printer head were measured with cantilever beam bending method using nanoindenter after fabricating in the form of micro cantilever beam (${\mu}$-CLB). And the elastic moduli of ${\mu}$-CLB of SiO$_2$ film and SiN film were compared with the value of each film on silicon substrate determined with nanoindentation method. The results showed that the modulus and strength of multi-layered film decrease from 68.08 ㎬ and 2.495 ㎬ to 56.53 ㎬ and 1.834 ㎬, respectively as the width of CLB increases from 18.5 $\mu\textrm{m}$ to 58.5 $\mu\textrm{m}$. And the elastic moduli of SiO$_2$ and SiN films measured with ${\mu}$-CLB bending method are 68.16 ㎬ and 215.45 ㎬, respectively and the elastic moduli of these films on silicon substrate measured with nanoindentation method are 98.78 ㎬ and 219.38 ㎬, respectively. These results show that with ${\mu}$-CLB bending technique, moduli can be measured to within 2%.

Nonlinear Static Aeroelastic Analysis of a High-Aspect-Ratio Wing with Large Deflection Effects (큰 가로세로비를 가지는 날개의 대변형 효과를 고려한 비선형 정적 공탄성 해석)

  • Yu, Jae-Han;Lee, In
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.34 no.3
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    • pp.31-36
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    • 2006
  • In this study, nonlinear static aeroelastic analysis system for a high-aspect-ratio wing are developed using the transonic small disturbance (TSD) and large deflection beam theory and validated. For the coupling between fluid and structure, the transformation of displacement from the structural mesh to aerodynamic one is performed by the shape function of the beam finite element and the inverse transformation of force by work equivalent load concept. Also, for the static aeroelastic analysis of the wing the use of TSD aerodynamics are justified. The validation of the system includes one of the efficient transformation methods of force and displacement.

Inelastic Lateral-Torsional Buckling Strength of Simplified Singly Stepped I-Beam Subjected to Uniform Moment (균일모멘트를 받는 초간편 일단 계단식 I형보의 비탄성 횡-비틀림 좌굴 강도)

  • Park, Jong-Sup;Kim, Jae-Heung;Kim, Jong-Min;Kang, Young-Jong
    • Proceedings of the KAIS Fall Conference
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    • 2007.11a
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    • pp.382-385
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    • 2007
  • 본 연구에서는 기존 연구를 토대로 하여 비탄성 구간에 있는 계단식 I형보의 횡-비틀림 좌굴강도를 범용구조해석 프로그램 ABAQUS(2006)를 이용하여 산정하고, 간편한 설계식을 제안하고 있다. 본 연구 결과는 다양한 형식의 I형보가 사용되는 빌딩 및 교량의 경제적이고 합리적인 설계의 근간을 제공해 줄 것이며, 향후 다양한 하중 조건을 가지는 양단 또는 일단 계단식 단면 변화보의 비탄성 횡-비틀림 좌굴강도를 계산할 수 있는 설계식 개발에 적극 활용 될 수 있을 것이다.

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IBS Beam Element for Nonlinear Seismic Analysis of Steel Moment Frames (강재 모멘트 골조의 비선형 지진 해석을 위한 IBS 보 요소)

  • Kim, Dal Sung;Kim, Dong Seong;Kim, Kee Dong;Ko, Man Gi
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.2A
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    • pp.233-242
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    • 2008
  • This study presents a non-prismatic beam element for modeling the elastic and inelastic behavior of steel beams, which have the post-Northridge(cover plate) connections in steel moment frames that are subjected to earthquake ground motions. The elastic stiffness matrix for non-prismatric members with increased beam section (IBS) connection is in the closed-form. The plasticity model is of a discrete type and is composed of a series of nonlinear hinges connected by rigid links. The hardening rules can model the inelastic behavior for monotonic and random cyclic loading, and the effects of local buckling. Moreover the determination of yield surfaces, stiffness parameters, and hardening (or softening) rule parameters for IBS beam element were described. Analytical results of the IBS beam element show good correlation with test data and FEM results.

Elastica of Simple Variable-Arc-Length Beams (단순지지 변화곡선 길이 보의 정확탄성곡선)

  • 이병구;박성근
    • Computational Structural Engineering
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    • v.10 no.4
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    • pp.177-184
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    • 1997
  • In this paper, numerical methods are developed for solving the elastica of simple beams with variable-arc-length subjected to a point loading. The beam model is based on Bernoulli-Euler beam theory. The Runge-Kutta and Regula-Falsi methods, respectively, are used to solve the governing differential equations and to compute the beam's rotation at the left end of the beams. Extensive numerical results of the elastica responses, including deflected shapes, rotations of cross-section and bending moments, are presented in non-dimensional forms. The possible maximum values of the end rotation, deflection and bending moment are determined by analyzing the numerical data obtained in this study.

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SWEET algorithm을 이용한 탄성매질의 traveltime과 amplitude 계산

  • 차영호;신창수;서정희;임해룡
    • Proceedings of the KSEEG Conference
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    • 2001.04a
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    • pp.115-118
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    • 2001
  • Suppressed Wave equation Estimation of Traveltime (SWEET, Shin et, al., 2000) 알고리즘을 이용하여 등방성 및 이방성 탄성 매질에 대한 ched 주시와 진폭을 계산하는 방법을 개발하였다. SWEET 알고리즘을 2차원 등방성 및 이방성 탄성 매질의 속도 구조에 적용하여 P파의 초동 주시와 진폭을 계산 할 수 있었다. 본 논문에서는 간단한 등방성 균질 탄성 모형, 복잡한 등방성 탄성 모형 및 간단한 이방성 균질 모형에 대한 수치 계산 결과를 보여 줄 것이다.

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Pushover Analysis of a 5-Story RC OMRF Considering Inelastic Shear Behavior of Beam-Column Joint (보-기둥 접합부 비탄성 전단거동을 고려한 5층 철근콘크리트 보통모멘트골조의 푸쉬오버해석)

  • Kang, Suk-Bong;Kim, Tae-Yong
    • Journal of the Korea Concrete Institute
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    • v.24 no.5
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    • pp.517-524
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    • 2012
  • In this study, the effects of the inelastic shear behavior of beam-column joint and the vertical distribution of lateral load are evaluated considering higher modes on the response of RC OMRF using the pushover analysis. A structure used for the analysis was a 5-story structure located at site class SB and seismic design category C, which was designed in accordance with KBC2009. Bending moment-curvature relationship for beam and column was identified using fiber model. Also, bending moment-rotation relationship for beam-column joint was calculated using simple and unified joint shear behavior model and moment equilibrium relationship for the joint. The results of pushover analysis showed that, although the rigid beam-column joint overestimated the stiffness and strength of the structure, the inelastic shear behavior of beam-column joint could be neglected in the process of structural design since the average response modification factor satisfied the criteria of KBC2009 for RC OMRF independent to inelastic behavior of joint.

Aeroelastic Analysis of Bearingless Rotor Systems in Hover and Forward Flight (무 베어링 로터 시스템의 정지 및 전진 비행시 공력탄성학적 해석)

  • Lim, In-Gyu;Lee, In
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.35 no.6
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    • pp.503-508
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    • 2007
  • In this study, the aeroelastic response and stability of bearingless rotors are investigated using a large deflection beam theory. The outboard main blade, flexbeam, and torque tube are all assumed to be an elastic beam undergoing arbitrary large displacements and rotations. The finite element equations of motion obtained from Hamilton's principle. Two-dimensional quasi-steady strip theory is used to evaluate aerodynamic forces. In hover, the modal approach method based on coupled rotating natural modes is used for the stability analysis. In forward flight, the nonlinear periodic blade steady response is obtained by integrating the full finite element equation in time through a coupled trim procedure with a vehicle trim. The results of the full finite element analysis using the large deflection beam theory are compared with those of a previously published modal analysis using the moderate deflection-type beam theory.

Free Vibrations of Timoshenko Beam with Elastomeric Bearings at Two Far Ends (양단이 탄성받침으로 지지된 Timoshenko 보의 자유진동)

  • Lee, Byoung Koo;Lee, Tae Eun;Park, Chang Eun
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.31 no.3A
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    • pp.181-187
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    • 2011
  • This paper deals with free vibrations of the Timoshenko beam supported by two elastomeric bearings at two far ends. The ordinary differential equation governing free vibrations of such beam is derived, in which both effects of rotatory inertia and shear deformation are included as the Timoshenko beam theory. Also, boundary conditions of the free end are derived based on the Timoshenko beam theory. The ordinary differential equation is solved by the numerical methods for calculating natural frequencies and mode shapes. Both effects of the rotatory inertia and shear deformation on natural frequencies are extensively discussed. Also, relationships between natural frequencies and slenderness ratio, foundation modulus and bearing length are presented. Typical mode shapes of bending moment and shear force as well as deflection are given in figures which show the positions of maximum amplitudes and nodal points.

An Improved Stability Design of Plane Frames using System Buckling and Second-order Elastic Analysis (탄성좌굴 고유치 및 2차 탄성해석법을 이용한 평면강절프레임의 개선된 좌굴설계법)

  • Song, Ju-Young;Kyung, Yong-Soo;Kim, Nam-Il;Kim, Moon-Young
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.18 no.2
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    • pp.159-168
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    • 2005
  • An improved stability design method for beam-columns of plane frames is proposed based on system buckling analysis and second-order elastic analysis. For this, the tangent stiffness matrix of beam-column elements is first derived using stability functions and a procedure for evaluating effective buckling lengths is reviewed using elastic system buckling analysis. And then the second-order analysis procedure is presented considering $P-\Delta$ effects and is compared with the closed-form solution through numerical examples. Design examples showing the validity of the proposed method we presented and their numerical results are compared with those obtained from the conventional stability design methods. Finally some useful conclusions are drawn.