• 제목/요약/키워드: uniform deformation method

검색결과 194건 처리시간 0.027초

뫼비우스 사상을 이용한 임의의 3차원 평면균열에서의 응력확대계수 계산 (Calculation of Stres Intensity Factor in Arbitrarily Shaped Plane Crack by Mobius Transformation)

  • 안득만
    • 대한기계학회논문집A
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    • 제25권4호
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    • pp.734-740
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    • 2001
  • In this paper the stress intensity factor under uniform pressure in the arbitrarily-shaped plane crack configuration transformed elliptic crack by Mobius mapping are determined. Using Dysons formula Boussinesq-Papkovich potentials for mode I deformation are constructed. In the example the stress intensity factors are approximately calculated by least square method.

양단고정된 변단면보의 자유 및 강제진동의 비선형해석 (Nonlinear analysis of stepped beam with immovable ends for free and forced vibration)

  • 심재수;함원식
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1990년도 봄 학술발표회 논문집
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    • pp.12-17
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    • 1990
  • Stepped bean with immovable ends for large amplitude of vibration including effects of longitudinal displacement, shear deformation and rotary inertia is investigated for free and forced vibration using finite element method. Modified harmonic force matrix is introduced for analysis of vibration with finite amplitude of the stepped beam under uniform hamonic loading and beam with nonuniform harmonic loading. Numerical examples of stepped beam with various support conditions are analysed for deflections and natural frequencies. Results show that the proposed method is valid and efficient.

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혼합모우드 변형하에 있는 복합재료 유한평판의 경사진 균열해석 (Analysis of an Inclined Crack in Finite Composite Plate Under Mixed Mode Deformation)

  • 염영진;홍창선
    • 대한기계학회논문집
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    • 제13권4호
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    • pp.625-635
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    • 1989
  • 본 논문에서는 이 방법을 사용하여 glass/epoxy와 graphite/epoxy 유한평판이 균일응력과 균일변위 경계조건을 받을 때 평판 종횡비 H/W를 1,2,3, 균열길이와 폭의 비 L/W를 0.1부터 0.7까지, 균열각도를 0, 30, 45, 60으로 변화 시키면서 응력강도수정계수를 구하려고 한다.

스탬핑 순서가 미치는 미세요소 변형 수치해석 (A numerical deformation analysis of micro elements by stamping orders)

  • 이창희;김용연
    • 한국정밀공학회지
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    • 제22권12호
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    • pp.156-162
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    • 2005
  • In this paper, we study the mechanism of lead deformation by numerically simulating the stamping process by means of a commercial finite element code. It is very important to analyze effects that the lead shape makes on the lead deformation, because the lead shape is often modified in order to minimize the deformation or to increase the buckling critical load of the punch. Therefore the stamping process, first, numerically simulated by considering as a quasi-static problem. Second, the effect on the lead deformation due to the lead shape variation, a linear lead geometry and a bent lead, was numerically analyzed and discussed. Finally, the punching order was optimized fur multi-lead generating stamping process. The results show that the bent lead is little bit more shifted than the linear lead after the punching process. But the bent lead is vertically less deformed than the linear lead. The punching order to successively generate the lead is good to keep the lead space uniform. The results will be very effectively applied for the design of the blanking or punching dies in industry.

Free vibration analysis of a Timoshenko beam carrying multiple spring-mass systems with the effects of shear deformation and rotary inertia

  • Wang, Jee-Ray;Liu, Tsung-Lung;Chen, Der-Wei
    • Structural Engineering and Mechanics
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    • 제26권1호
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    • pp.1-14
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    • 2007
  • Because of complexity, the literature regarding the free vibration analysis of a Timoshenko beam carrying "multiple" spring-mass systems is rare, particular that regarding the "exact" solutions. As to the "exact" solutions by further considering the joint terms of shear deformation and rotary inertia in the differential equation of motion of a Timoshenko beam carrying multiple concentrated attachments, the information concerned is not found yet. This is the reason why this paper aims at studying the natural frequencies and mode shapes of a uniform Timoshenko beam carrying multiple intermediate spring-mass systems using an exact as well as a numerical assembly method. Since the shear deformation and rotary inertia terms are dependent on the slenderness ratio of the beam, the shear coefficient of the cross-section, the total number of attachments and the support conditions of the beam, the individual and/or combined effects of these factors on the result are investigated in details. Numerical results reveal that the effect of the shear deformation and rotary inertia joint terms on the lowest five natural frequencies of the combined vibrating system is somehow complicated.

Buckling of sandwich plates with FG-CNT-reinforced layers resting on orthotropic elastic medium using Reddy plate theory

  • Shokravi, Maryam
    • Steel and Composite Structures
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    • 제23권6호
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    • pp.623-631
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    • 2017
  • Present paper deals with the temperature-dependent buckling analysis of sandwich nanocomposite plates resting on elastic medium subjected to magnetic field. The lamina layers are reinforced with carbon nanotubes (CNTs) as uniform and functionally graded (FG). The elastic medium is considered as orthotropic Pasternak foundation with considering the effects of thermal loading on the spring and shear constants of medium. Mixture rule is utilized for obtaining the effective material properties of each layer. Adopting the Reddy shear deformation plate theory, the governing equations are derived based on energy method and Hamilton's principle. The buckling load of the structure is calculated with the Navier's method for the simply supported sandwich nanocomposite plates. Parametric study is conducted on the combined effects of the volume percent and distribution types of the CNTs, temperature change, elastic medium, magnetic field and geometrical parameters of the plates on the buckling load of the sandwich structure. The results show that FGX distribution of the CNTs leads to higher stiffness and consequently higher buckling load. In addition, considering the magnetic field increases the buckling load of the sandwich nanocomposite plate.

두 파라메타 탄성기초위에 놓인 불균일 Timoshenko보의 안정성과 진동 (Stability and Vibration of Non-Uniform Timoshenko Beams resting on Two-Parameter Elastic Foundations)

  • 이종원;류봉조;이규섭;공용식;오부진
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 춘계학술대회논문집A
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    • pp.596-601
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    • 2000
  • The paper presents free vibration and stability analyses of a non-uniform Timoshenko beam resting on a two-parameter elastic soil. The soil parameters can vary along the spat and is assumed to be two-parameter model including the effects of both transverse shear deformation and elastic foundation Governing equations related to the vibration and the stability of the beam are derived from Hamilton's principle, and the resulting eigen-value problems can be solved to give natural frequencies and critical force by finite element method. Numerical results for both vibration and stability of beams under an axial force are presented and compared with other available solutions. Finally, vibration frequencies, mode shapes and critical forces are investigated for various thickness ratios, shear foundation parameter, Winkler foundation parameter and boundary conditions of tapered Timoshenko beams.

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Dynamic response of non-uniform Timoshenko beams made of axially FGM subjected to multiple moving point loads

  • Gan, Buntara S.;Trinh, Thanh-Huong;Le, Thi-Ha;Nguyen, Dinh-Kien
    • Structural Engineering and Mechanics
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    • 제53권5호
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    • pp.981-995
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    • 2015
  • This paper presents a finite element procedure for dynamic analysis of non-uniform Timoshenko beams made of axially Functionally Graded Material (FGM) under multiple moving point loads. The material properties are assumed to vary continuously in the longitudinal direction according to a predefined power law equation. A beam element, taking the effects of shear deformation and cross-sectional variation into account, is formulated by using exact polynomials derived from the governing differential equations of a uniform homogenous Timoshenko beam element. The dynamic responses of the beams are computed by using the implicit Newmark method. The numerical results show that the dynamic characteristics of the beams are greatly influenced by the number of moving point loads. The effects of the distance between the loads, material non-homogeneity, section profiles as well as aspect ratio on the dynamic responses of the beams are also investigated in detail and highlighted.

터널 횡방향 지진해석 Part I: 응답변위법을 통한 터널의 지진응답 예측 (Seismic Analysis of Tunnel in Transverse Direction Part I: Estimation of Seismic Tunnel Response via Method of Seismic Displacement)

  • 박두희;신종호;윤세웅
    • 한국지반공학회논문집
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    • 제26권6호
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    • pp.57-70
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    • 2010
  • 지진에 대하여 상당히 저항력이 높다고 알려진 터널도 최근 국외에서 발생한 대 지진들에 의해서 심각한 피해를 입은 사례가 지속적으로 발생하고 있으며 터널 내진설계의 필요성을 입증하고 있다. 지진동에 대하여 터널에 발생하는 다양한 변형모드 중에서 횡방향 전단변형이 가장 치명적인 모드로 알려졌다. 본 논문에서는 횡방향 터널의 지진해석을 유사정적해석의 일종인 응답변위법으로 수행하였다. 먼저, 지반 내 변위를 계산한 결과 단일 및 이중 코사인법의 예측결과는 정확하지 않을 수 있으니 주의해야 하며 1차원 지반응답해석을 수행하는 것이 적절한 것으로 나타났다. 나아가 터널의 응답을 단순해, 해석해, 그리고 연속체 수치해석으로 계산하였다. 비교 결과, 단순해는 터널의 응답을 정확하게 예측하지 못하는 것으로 나타났다. 해석해는 균질 지반과 원형터널에서는 적절하나 비균질 지반에서는 적절하지 않은 것으로 나타났다. 수치해석은 모든 경우에 적용 가능한 가장 정확한 방법인 것으로 나타났다. 또한, 선형해석은 보수적이며 지반의 비선형성을 고려하는 것이 적절한 것으로 나타났다.

웨이퍼 본딩 장비용 Uniform Press 개발 (Development of Uniform Press for Wafer Bonder)

  • 이창우;하태호;이재학;김승만;김용진;김동훈
    • 대한기계학회논문집 C: 기술과 교육
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    • 제3권4호
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    • pp.265-271
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    • 2015
  • 스마트폰을 비롯한 고성능 모바일 전자기기의 발전에 따라서 경박단소한 전자부품의 요구가 커지고 있으며 이를 위해서 새로운 패키징 방법이 탄생하고 있다. 이러한 새로운 패키징 공정에서 웨이퍼 본딩 공정이 많이 요구되고 있다. 웨이퍼 본딩에서 많이 활용되는 방법이 열 압착 방법으로 가열된 헤드로 웨이퍼에 압력을 가하여 본딩하는 방법이다. 열 압착 방법에서 요구되는 공정조건은 온도 균일성과 Uniform Press이다. 온도 균일성은 마이크로 히터와 열 해석을 통한 설계로 비교적 쉽게 요구조건을 만족 시킬 수 있지만 Uniform Press를 가공과 조립으로만 요구조건을 만족시키기 위해서는 매우 높은 정밀도가 요구된다. 열 압착 방법은 고온에서 동작되므로 열 변형에 대한 기계적인 오차를 고려하여 설계, 가공, 조립이 진행되어야하므로 많은 어려움이 따른다. 본 연구에서는 Air 스프링과 Metal Form의 자가 보정장치를 이용하여 가공, 조립, 열 변형으로 발생하는 기계적 오차를 보상하여 성능과 신뢰성을 향상시켰다.