• 제목/요약/키워드: linear elastic analysis

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초음파 리니어 모터의 타원궤적 해석 (Elliptical Trajectory Analysis of Ultrasonic Linear Motor)

  • 김태열;김범진;박태곤;김명호
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2000년도 하계학술대회 논문집
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    • pp.411-414
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    • 2000
  • An ultrasonic linear motor was composed of a slider and a stator vibrator including piezoelectric material and elastic material. The ultrasonic linear motors mainly consist of an ultrasonic oscillator which generates elliptical oscillations. Elliptical oscillations are generated by synthesizing two degenerated modes. Direction of vibratory displacement was analyzed by employing the finite element method. So, we could recognize that the direction of the slider's movement was controlled by changing the Phase difference of the drive voltage.

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균질화기법과 유한요소법을 이용한 복합재료의 등가탄성계수 산정 (The Finite Element Analysis for Calculations of Equivalent Elastic Constants Using the Homogenization Method)

  • Yun, Seong-Ho
    • 한국전산구조공학회논문집
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    • 제13권1호
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    • pp.51-61
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    • 2000
  • 본 논문은 구조물의 미시적 측면에서 유효평균탄성계수를 결정하기 위한 균질화기법인 점근적 방법을 적용하였고, 탄성값을 조사하기 위하여 유한요소법으로 정식화하였다. 수치 예로서 물성치가 각기 다른 등방성 재료를 적층한 부재의 임의 단면에서 단위요소를 해석영역으로 설정하고 산출된 탄성계수를 기존의 해석방법으로부터 산출된 값과 비교하였다. 균질화기법으로 산출된 탄성계수는 과소평가되어 나타나며, 이는 해석영역을 유한요소 정식화하는 과정에서 수정항만큼 차이가 난다는 것을 증명하였다. 기존 해석방법으로는 복합재료의 탄성계수가 단순히 재료의 산술적 평균값으로 계산되는 것과는 달리, 미시적으로 복합재 단위요소의 반복성을 고려함으로써 제안된 해석방법이 보다 유용하다는 것을 보여 주었다.

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Stress path adapting Strut-and-Tie models in cracked and uncracked R.C. elements

  • Biondini, Fabio;Bontempi, Franco;Malerba, Pier Giorgio
    • Structural Engineering and Mechanics
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    • 제12권6호
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    • pp.685-698
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    • 2001
  • In this paper, a general method for the automatic search for Strut-and-Tie (S&T) models representative of possible resistant mechanisms in reinforced concrete elements is proposed. The representativeness criterion here adopted is inspired to the principle of minimum strain energy and requires the consistency of the model with a reference stress field. In particular, a highly indeterminate pin-jointed framework of a given layout is generated within the assigned geometry of the concrete element and an optimum truss is found by the minimisation of a suitable objective function. Such a function allows us to search the optimum truss according to a reference stress field deduced through a F.E.A. and assumed as representative of the given continuum. The theoretical principles and the mathematical formulation of the method are firstly explained; the search for a S&T model suitable for the design of a deep beam shows the method capability in handling the reference stress path. Finally, since the analysis may consider the structure as linear-elastic or cracked and non-linear in both the component materials, it is shown how the proposed procedure allows us to verify the possibilities of activation of the design model, oriented to the serviceability condition and deduced in the linear elastic field, by following the evolution of the resistant mechanisms in the cracked non-linear field up to the structural failure.

Coupled Finite Element Analysis for Semi-implicit Linear and Fully-implicit Nonlinear Scheme in Partially Saturated Porous Medium

  • Kim, Jae-Hong;Regueiro, Richard A.
    • 토지주택연구
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    • 제1권1호
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    • pp.59-65
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    • 2010
  • The paper presents a comparison between a semi-implicit time integration linear finite element implementation and fully-implicit nonlinear Newton-Raphson finite element implementation of a triphasic small strain mixture formulation of an elastic partially saturated porous medium. The pore air phase pressure pa is assumed atmospheric, i.e., $p_a$ = 0, although the formulation and implementation are general to handle increase in pore air pressure as a result of loading, if needed. The solid skeleton phase is assumed linear isotropic elastic and partially saturated 'consolidation' in the presence of surface infiltration and traction is simulated. The verification of the implementation against an analytical solution for partially saturated pore water flow (no deformation) and comparison between the two implementations is presented and the important of the porosity-dependent nature of the partially saturated permeability is assessed on comparison with a commercial code for the partially saturated flow with deformation. As a result, the response of partially saturated permeability subjected to the porosity influences on the saturation of a soil, and the different behaviors of the partially saturated soil between staggered and monolithic coupled programs is worth of attention because the negative pore water pressure in the partially saturated soil depends on the difference.

공간구조물의 탄성 분기좌굴해석을 위한 수치해석 이론 개발 (A Development of Analytical Strategies for Elastic Bifurcation Buckling of the Spatial Structures)

  • 이경수;한상을
    • 한국강구조학회 논문집
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    • 제21권6호
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    • pp.563-574
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    • 2009
  • 본 논문은 기하학적 비선형성을 가진 보존적 단일 하중 매개변수의 탄성 상태 공간구조의 탄성 분기 좌굴이론에 관한 수치 해석적 기본 방법 및 경로 추적, pin-pointing, 경로 전환을 기술하고 있다. 비선형 탄성 불안정 상태는 극한점과 분기점으로 분류될 수 있으며, 평형경로상의 평형점의 계산 및 평형경로상의 특이점을 찾기 위한 pin-pointing 반복계산을 수행하는 일반적인 비선형 수치해석법으로 극한점을 계산할 수 있다. 그러나 분기좌굴 해석을 위해서는 좌굴 후 분기경로의 추적을 위한 분기경로 전환 알고리즘이 추가적으로 필요하다. 본문에서는 에너지이론에 기초한 일반 탄성안정이론을 소개하고, 평형경로 추적, 다분기 좌굴점을 찾기 위한 간접법과 다분기의 경로 전환에 관한 이론을 전개한다. 분기좌굴 해석예제로 트러스로 이루어진 스타돔, 핀지지의 평면아치의 분기좌굴 해석을 수행하여 본문에서 제시한 수치해석법의 정확성 및 적용성을 검증한다.

나노 및 바이오 시스템 해석을 위한 탄성네트워크모델 (Elastic Network Model for Nano and Bio System Analysis)

  • 김문기
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2008년도 추계학술대회논문집
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    • pp.668-669
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    • 2008
  • In this paper, we introduce various coarse-grained elastic network modeling (ENM) techniques as a novel computational method for simulating atomic scale dynamics in macromolecules including DNA, RNA, protein, and polymer. In ENM, a system is modeled as a spring network among representative atoms in which each linear elastic spring is well designed to replace both bonded and nonbonded interactions among atoms in the sense of quantum mechanics. Based on this simplified system, a harmonic Hookean potential is defined and used for not only calculating intrinsic vibration modes of a given system, but also predicting its anharmonic conformational change, both of which are strongly related with its functional features. Various nano and bio applications of ENM such as fracture mechanics of nanocomposite and protein dynamics show that ENM is one of promising tools for simulating atomic scale dynamics in a more effective and efficient way comparing to the traditional molecular dynamics simulation.

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선형해석방법을 이용한 철골 모멘트골조의 붕괴저항성능 (Collapse-Resisting Capacity of Steel Moment Frames Using the Linear Elastic Analysis)

  • 김진구;양정호;김태완
    • 한국전산구조공학회논문집
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    • 제20권4호
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    • pp.435-442
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    • 2007
  • 1968년 영국의 Ronan Point 아파트에서 발생한 연쇄붕괴 이후 이에 대한 연구가 간헐적으로 진행되어 왔으며, 최근 미국의 World Trade Center 붕괴 후 연쇄붕괴에 대한 연구가 다시 활발히 진행되고 있다. 미국에서는 기존의 연구결과를 바탕으로 2003년 GSA 및 2005년 DoD에서 연쇄붕괴에 대한 설계 및 해석 지침을 제시하였다. 본 연구에서는 이러한 지침서에서 제시하고 있는 선형정적해석법과, 선형동적해석법을 사용하여 국내 설계기준에 의해 설계된 철골 모멘트저항골조에 대한 붕괴저항 성능을 조사하였다. 해석결과에 따르면 GSA 기준을 적용할 경우 횡력을 고려하지 않은 수직저항시스템은 연쇄 붕괴에 취약한 것으로 나타났으나, 지진력을 고려하여 설계된 수평저항시스템은 연쇄붕괴에 대해 안전한 결과를 얻었다. 하지만 DoD 기준에 따르면 두 시스템 모두 연쇄붕괴에 취약한 것으로 나타났다.

선형 탄성지반 위에 놓인 압축부재의 자유진동 (Free Vibrations of Compressive Members Resting on Linear Elastic Foundation)

  • 이병구;이광범;모정만;신성철
    • 한국농공학회지
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    • 제42권6호
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    • pp.122-129
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    • 2000
  • The purpose of this study is to investigate both the fundamental and some higher natural frequencies and mode shapes of compressive members resting on the linear elastic foundation. The model of compressive member is based on the classical Bernoulli-Euler beam theory. The differential equation governing free vibrations of such members subjected to an axial load is derived and solved numerically for calculating the natural frequencies and mode shapes. The Improved Euler method is used to integrate the differential equation and the Determinant Search method combined with the Regula-Falsi method to determine the natural frequencies, respectively. In numerical examples, the hinged-hinged, hinged-clamped, clamped-hinged and clamped-clamped end constraints are considered. The convergence analysis is conducted for determining the available step size in the Improved Euler method. The validation of theories developed herein is also conducted by comparing the numerical results between this study and SAP 90. The non-dimensional frequency parameters are presented as the non-dimensional system parameters: section ratio, modulus parameter and load parameter. Also typical mode shapes are presented.

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Dynamic analysis of the agglomerated SiO2 nanoparticles-reinforced by concrete blocks with close angled discontinues subjected to blast load

  • Amnieh, Hassan Bakhshandeh;Zamzam, Mohammad Saber
    • Structural Engineering and Mechanics
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    • 제65권1호
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    • pp.121-128
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    • 2018
  • Three structure-dependent integration methods with no numerical dissipation have been successfully developed for time integration. Although these three integration methods generally have the same numerical properties, such as unconditional stability, second-order accuracy, explicit formulation, no overshoot and no numerical damping, there still exist some different numerical properties. It is found that TLM can only have unconditional stability for linear elastic and stiffness softening systems for zero viscous damping while for nonzero viscous damping it only has unconditional stability for linear elastic systems. Whereas, both CEM and CRM can have unconditional stability for linear elastic and stiffness softening systems for both zero and nonzero viscous damping. However, the most significantly different property among the three integration methods is a weak instability. In fact, both CRM and TLM have a weak instability, which will lead to an adverse overshoot or even a numerical instability in the high frequency responses to nonzero initial conditions. Whereas, CEM possesses no such an adverse weak instability. As a result, the performance of CEM is much better than for CRM and TLM. Notice that a weak instability property of CRM and TLM might severely limit its practical applications.

에너지 등고선을 이용한 고주파 가진 조건들에 따른 선형 시스템의 피로 손상도 분석 (Analysis of Spectral Fatigue Damage of Linear Elastic Systems with Different High Cyclic Loading Cases using Energy Isocline)

  • 신성영;김찬중
    • 한국소음진동공학회논문집
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    • 제24권11호
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    • pp.840-845
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    • 2014
  • Vibration profiles consist of two kinds of pattern, random and harmonic, at general engineering problems and the detailed vibration test mode of a target system is decided by the spectral condition that is exposed under operation. In moving mobility, random responses come generally from road source; whereas the harmonic responses are triggered from rotating machinery parts, such as combustion engine or drive shaft. Different spectral input may accumulate different damage in frequency domain since the accumulated fatigue damage dependent on the pattern of input spectrum in high cyclic loading condition. To evaluate the sensitivity of spectral damage according to different loading conditions, a linear elastic system is introduced to conduct a uniaxial vibration testing. Measured data, acceleration and strain, is analyzed using energy isocline function and then, the calculated fatigue damage is compared by different loading cases, random and harmonic.