• 제목/요약/키워드: Equivalent Stiffness Model

검색결과 233건 처리시간 0.027초

적층 복합재료 주름판의 진동해석 (Vibration Analysis of Laminated Composite Corrugated Plates)

  • 박경조;김영완
    • Composites Research
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    • 제29권6호
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    • pp.347-352
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    • 2016
  • 적층 복합재료 주름판에 대한 진동특성을 이론적 방법을 이용하여 분석하였다. 고려된 주름 형상은 사다리꼴을 기본으로 삼각형, 사각형 및 요각 사다리꼴형이다. 3차원 주름 구조물을 해석적으로 기계적 거동을 표현하는 것이 매우 어렵기 때문에 본 해석에서는 주름판의 진동특성을 분석하기 위해 등가균질모델을 적용하였다. 이를 위해 단위 주름을 직교이방성재료로 등가시켰으며, 해석에서 등가 신장 강성 및 굽힘 강성이 모두 고려되었다. 이론해석 결과의 타당성을 검증하기 위해 셸요소를 적용한 3차원 유한요소해석을 수행하였으며, 두 방법을 이용해 얻은 고유진동수 및 진동형상을 비교하였다. 주름판의 기하형상에 따른 영향을 분석하기 위해 다양한 수치예가 제시되었다.

강성저감을 고려한 플랫슬래브 구조물의 지진해석 (Seismic Analysis of Flat Slab Structures considering Stiffness Degradation)

  • 김현수;이승재;이동근
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 2003년도 추계 학술발표회논문집
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    • pp.191-198
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    • 2003
  • Flat slab system has been adopted in many buildings constructed recently because of the advantage of reduced floor heights to meet the economical and architectural demands. Structural engineers commonly use the equivalent frame method(EFM) with equivalent beams proposed by Jacob S. Grossman in practical engineering for the analysis of flat slab structures. However, in many cases, when it is difficult to use the EFM, it is necessary to use a refined finite element model for an accurate analysis. But it would take significant amount of computational time and memory if the entire building structure were subdivided into a finer mesh. An efficient analytical method is proposed in this study to obtain accurate results in significantly reduced computational time. The proposed method employs super elements developed using the matrix condensation technique and fictitious beams are used in the development of super elements to enforce the compatibility at the interfaces of super elements. The stiffness degradation of flat slab system considered in the EFM was taken into account by reducing the elastic modulus of floor slabs in this study. Static and dynamic analyses of example structures were peformed and the efficiency and accuracy of the proposed method were verified by comparing the results with those of the refined finite element model and the EFM.

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Preliminary numerical study on long-wavelength wave propagation in a jointed rock mass

  • Chong, Song-Hun;Kim, Ji-Won;Cho, Gye-Chun;Song, Ki-Il
    • Geomechanics and Engineering
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    • 제21권3호
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    • pp.227-236
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    • 2020
  • Non-destructive exploration using elastic waves has been widely used to characterize rock mass properties. Wave propagation in jointed rock masses is significantly governed by the characteristics and orientation of discontinuities. The relationship between spatial heterogeneity (i.e., joint spacing) and wavelength for elastic waves propagating through jointed rock masses have been investigated previously. Discontinuous rock masses can be considered as an equivalent continuum material when the wavelength of the propagating elastic wave exceeds the spatial heterogeneity. However, it is unclear how stress-dependent long-wavelength elastic waves propagate through a repetitive rock-joint system with multiple joints. A preliminary numerical simulation was performed in in this study to investigate long-wavelength elastic wave propagation in regularly jointed rock masses using the three-dimensional distinct element code program. First, experimental studies using the quasi-static resonant column (QSRC) testing device are performed on regularly jointed disc column specimens for three different materials (acetal, aluminum, and gneiss). The P- and S-wave velocities of the specimens are obtained under various normal stress levels. The normal and shear joint stiffness are calculated from the experimental results using an equivalent continuum model and used as input parameters for numerical analysis. The spatial and temporal sizes are carefully selected to guarantee a stable numerical simulation. Based on the calibrated jointed rock model, the numerical and experimental results are compared.

터널 사전보강 영역의 효과적 수치해석을 위한 등가 물성치 결정 기법 (Equivalent Design Parameter Determination for Effective Numerical Modeling of Pre-reinforced Zones in Tunnel)

  • 송기일;조계춘
    • 한국터널지하공간학회 논문집
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    • 제8권2호
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    • pp.151-163
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    • 2006
  • 대단면 터널에서 시공되는 사전보강공법에 의한 보강영역의 보강효과를 수치해석적으로 모델링하기 위한 다양한 방법이 제시되고 있지만 실무자들은 공학적인 방법보다는 경험적인 방법과 문헌을 참고하여 설계를 수행하고 있다. 따라서 본 연구에서는 상용 프로그램에서 직접적으로 적용할 수 있는 사전보강 영역의 물성치 결정에 있어서 거시적 접근법의 개념을 기반으로 미시적 접근법을 적용한 등가 물성치를 결정하는 기법을 제시하고 3차원 수치해석을 통한 실제모델 해석결과와 다른 여러 미시적 접근법들과의 비교 분석을 수행하여 타당한 보강영역 물성치 결정기법을 제시하였다. 해석 결과 구근과 강관의 병렬연결 강성이 원지반과 직렬로 연결되는 사전보강영역의 직병렬 강성 시스템과, 구근과 강관의 직렬 강성 시스템이 실해와 가장 근사한 변위를 예측하였으나 후자의 경우 그 모델링 과정이 복잡하므로 본 연구에서는 간편법으로써 직병렬 강성 시스템을 제안한다. 직병렬 강성 시스템은 천단변위에 대해 풍화암 지반에서는 약간 안전측으로, 내공변위와 지표면 변위에 대해서는 정밀모델의 결과와 거의 동일하게 거동하는 것으로 분석되었으며 풍화토와 풍화암 지반에서 동일한 변위 경향성을 나타낸다. 본 연구에서 제시된 사전보강영역의 직병렬 강성 시스템은 실제모델로 대표되는 보강지반의 거동 메카니즘을 효과적으로 나타내는 것으로 분석된다.

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동특성 변화를 이용한 감쇠 구조물의 손상예측 (Prediction of the Damage in the Structure with Damping Using the Modified Dynamic Characteristics)

  • 이정윤
    • 한국소음진동공학회논문집
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    • 제22권11호
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    • pp.1144-1151
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    • 2012
  • A damage in structure alters its dynamic characteristics. The change is characterized by changes in the modal parameter, i.e., modal frequencies, modal damping value and mode shape associated with each modal frequency. Changes also occur in some of the structural parameters; namely, the mass, damping, stiffness matrices of the structure. In this paper, evaluation of changes in stiffness matrix of a structure is presented as a method not only for identifying the presence of the damage but also locating the damage. It is shown that changed stiffness matrix can be accurately estimated a sensitivity coefficient matrix derived from modifying mode shapes, First, with 4 story shear structure models, the effect of presence of damage in a structure on its stiffness matrix is studied. By using these analytical model, the effectiveness of using change of stiffness matrix in detecting and locating damages is demonstrated. To validate the predicted changing stiffness and its location, the obtained results are compared to the reanalysis result which shows good agreement.

강성 및 강도저하 모델이 반응수정계수 산정에 미치는 영향 평가 (Effect of Stiffness and Strength Degrading Model on Evaluating the Response Modification Factor)

  • 오영훈;한상환;이리형
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1998년도 봄 학술발표회 논문집
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    • pp.25-32
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    • 1998
  • Most recent seismic design codes include Response Modification Factor(RMF) for determining equivalent lateral forces. The RMF is used to reduce the linear elastic design spectrum to account for the energy dissipation capacity, overstrength and damping of the structure. In this study the RMF is defined as the ratio of the absolute maximum linear elastic base shear to the absolute maximum nonlinear base shear of a structure subject to the same earthquake accelerogram. This study investigates the effect of hysteretic model, as well as target ductility ratio and natural period on duct based RMF using nonlinear dynamic analyses of the SDOF systems. Special emphasis is given to the effects of the hysteretic characteristics such as strength deterioration and stiffness degradation. Results indicate that RMFs are dependent on ductility, period and hysteretic model.

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Layered model of aging concrete. General concept and one-dimensional applications

  • Truty, Andrzej;Szarlinski, Jan;Podles, Krzysztof
    • Computers and Concrete
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    • 제17권6호
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    • pp.703-721
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    • 2016
  • A novel approach to modeling concrete behavior at the stage of its maturing is presented in this paper. This approach assumes that at any point in the structure, concrete is composed of a set of layers that are activated in time layer by layer, based on amount of released heat that is produced during process of the concrete's maturing. This allows one to assume that each newly created layer has nominal stiffness moduli and tensile/compressive strengths. Hence introduction of explicit stiffness moduli and tensile/compressive strength dependencies on time, or equivalent time state parameter, is not needed. Analysis of plain concrete (PC) and reinforced concrete (RC) structures, especially massive ones, subjected to any kind of straining in their early stage of existence, mostly due to external loads but especially by thermal loading and shrinkage, is the goal of the approach. In this article a simple elasto-plastic softening model with creep is used for each layer and a general layered model behavior is illustrated on one-dimensional (1D) examples.

철골 모멘트 골조의 지진해석을 위한 등가 단자유도시스템 (Equivalent SDF Systems Representing Steel Moment Resisting Frames)

  • 한상환;문기훈;김진선
    • 한국지진공학회논문집
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    • 제12권3호
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    • pp.21-28
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    • 2008
  • 다자유도 시스템의 내진 성능을 평가하기 위해서는 반복적인 비선형 시간 이력 해석이 필요하며 이를 위해 많은 계산과정과 노력이 필요하다. 이와 같이 해석에 따르는 어려움을 보완하기 위해 복잡한 다자유도 시스템을 반영할 수 있는 등가 단자유도 시스템을 개발하였다. 등가 단자유도의 이력 모델로는 일반적으로 이선형 모델과 삼선형 모델이 사용된다. 이러한 모델은 탄성 거동 이후 음강성을 가질 수 있도록 하여 지진 발생 시 중력하중에 의한 발생되는 효과를 반영하기 위해서이다. 본 연구에서는 철골모멘트 골조의 실제 응답을 예측하기 위하여 이러한 이력 모델들로 거동하는 등가단자유도 시스템의 필요조건에 대하여 평가하였다. 이를 위해 본 연구에서는 로스엔젤레스 지역의 SAC 9층 모멘트 저항 골조를 비선형 다자유도 시스템과 등가단자유도 시스템으로 모델링하여 반복하중 푸쉬오버 해석, 비선형 시간 이력해석 및 IDA(Incremental Dynamic Analysis)를 수행하여 비교 검토하였다. 또한 본 연구에서는 강도저감 모델에 대해서도 평가를 수행하였다.

등가 전단 스프링 모델을 이용한 플로팅 슬래브궤도 연결부에서의 하중전달 특성 분석 (Investigation of Load Transfer Characteristics at Slab Joints In The Floating Slab Track by Equivalent Shear Spring Model)

  • 장승엽;안미경;최원일;박만호
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2011년도 정기총회 및 추계학술대회 논문집
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    • pp.2838-2843
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    • 2011
  • Recently, the floating slab track that can effectively mitigate the vibration and structure-borne noise is being discussed to be adopted. The floating slab track which is a track system isolated from the sub-structure by vibration isolators. Unsimilarly to conventional track and the slab deflection is large. Therefore, the running safety and ride comfort should be investigated. Especially at slab joint since the load cannot be transferred, the possibility that the dynamic behavior of track and train became unstable is high. Thus, in general dowel bar are often installed at slab joints. To determine the appropriate dowel ratio the load transfer characteristics should be investigated. In this study, dowel bar joint is modeled by equivalent shear spring and this model is verified by comparison with experimental results. Using the proven model, the load transfer efficiency and deflection at slab joint according to dowel ratio, and stiffness and spacing of vibration isolator were examined.

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적층 압전 액추에이터의 전기-기계적 특성 분석 (ELECTROMECHANICAL ANALYSIS OF PIEZOELECTRIC STACK ACTUATOR)

  • 하기홍;이수일
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2014년도 춘계학술대회 논문집
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    • pp.374-378
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    • 2014
  • The piezoelectric materials convert from mechanical energy to electrical energy. The piezoelectric materials are used in various engineering applications such as piezoelectric ultrasonic actuators. Since the piezoelectric coupling characteristics of the actuator systems should be considered at the initial design stage, it is essential to analyze the piezoelectric coupling characteristics of the ultrasonic actuators. In this study, we analyzed the electromechanical characteristics of piezoelectric stacked actuator using the equivalent circuit model with modal mass stiffness parameters. It was compared the admittance of piezoelectric stack actuators with the analytical circuit model and the finite element model. Also, the coupling coefficient of piezoelectric stack actuator was discussed according to the number of stacks of actuators.

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