• 제목/요약/키워드: Assumed-mode method

검색결과 264건 처리시간 0.024초

크랙을 가진 유체유동 파이프의 안정성 해석 (Stability Analysis of Pipe Conveying Fluid with Crack)

  • 손인수;안태수;윤한익
    • 한국소음진동공학회논문집
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    • 제17권1호
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    • pp.10-16
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    • 2007
  • In this paper, the dynamic stability of a cracked simply supported pipe conveying fluid is investigated. In addition, an analysis of the flutter and buckling instability of a cracked pipe conveying fluid due to the coupled mode(modes combined) is presented. Based on the Euler-Bernouli beam theory, the equation of motion can be constructed by using the Galerkin method. The crack section is represented by a local flexibility matrix connecting two undamaged pipe segments. The stiffness of the spring depends on the crack severity and the geometry of the cracked section. The crack is assumed to be in the first mode of fracture and to be always opened during the vibrations. This results of study will contribute to the safety test and a stability estimation of the structures of a cracked pipe conveying fluid.

면내/면외변형을 고려한 이송되는 박막의 진동해석 (Vibration Analysis of an Axially Moving Membrane with In-plane/Out-of-plane Deformations)

  • 신창호;정진태
    • 한국소음진동공학회논문집
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    • 제14권9호
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    • pp.910-918
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    • 2004
  • The vibration analysis of an axially moving membrane are investigated when the membrane has the two sets of in-plane boundary conditions, which are free and fixed constraints in the lateral direction. Since the in-plane stiffness is much higher than the out-of-plane stiffness, it is assumed during deriving the equations of motion that the in-plane motion is in a steady state. Under this assumption, the equation of out-of-plane motion is derived, which is a linear partial differential equation influenced by the in-plane stress distributions. After discretizing the equation by using the Galerkin method, the natural frequencies and mode shapes are computed. In particular, we put a focus on analyzing the effects of the in-plane boundary conditions on the natural frequencies and mode shapes of the moving membrane.

Free vibration of functionally graded thin elliptic plates with various edge supports

  • Pradhan, K.K.;Chakraverty, S.
    • Structural Engineering and Mechanics
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    • 제53권2호
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    • pp.337-354
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    • 2015
  • In this article, free vibration of functionally graded (FG) elliptic plates subjected to various classical boundary conditions has been investigated. Literature review reveals no study has been performed based on functionally graded elliptic plates till date. The mechanical kinematic relations are considered based on classical plate theory. Rayleigh-Ritz technique is used to obtain the generalized eigenvalue problem. The material properties of the FG plate are assumed to vary along thickness direction of the constituents according to power-law form. Trial functions denoting the displacement components are expressed in simple algebraic polynomial forms which can handle any edge support. The objective is to study the effect of geometric configurations and gradation of constituent volume fractions on the natural frequencies. New results for frequency parameters are incorporated after performing a test of convergence. A comparison study is carried out with existing literature for validation in special cases. Three-dimensional mode shapes for circular and elliptic FG plates are also presented with various boundary conditions at the edges.

가상균열 모델을 이용한 피로균열 진전 해석 (Analysis of fatigue crack growth using fictitious crack model)

  • 양승용;구병춘
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2003년도 추계학술대회 논문집(III)
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    • pp.79-84
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    • 2003
  • A fictitious crack model was used to analyze fatigue crack growth under the influence of residual stress. In the fictitious crack model, crack is represented in terms of the separation of two adjacent interfaces and the constitutive equation between the separation and traction is assumed. The effect of fatigue loading was included in the constitutive equation by considering damage accumulation in the cohesive zone. To investigate the effect of the residual stress on the fatigue crack growth, we calculated the residual stress distribution due to transient heat flux to the specimen by finite element method. Fatigue crack growth was simulated by the fictitious crack model with repeated loading. The mode-I crack growth rates were compared for the cases with and without the compressive residual stress around the crack tip. It was observed that the mode-I crack growth can be suppressed by compressive residual stress.

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섬유금속적층판의 모드 I 접합 거동 예측을 위한 Levenberg-Marquardt 기법 기반의 역해석 기법에 관한 수치적 연구 (Numerical Study on Inverse Analysis Based on Levenberg-Marquardt Method to Predict Mode-I Adhesive Behavior of Fiber Metal Laminate)

  • 박으뜸;이영헌;김정;강범수;송우진
    • Composites Research
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    • 제31권5호
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    • pp.177-185
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    • 2018
  • 섬유금속적층판은 금속과 섬유 강화 복합소재를 함께 적층한 하이브리드 재료 중 하나다. 섬유금속적층판은 계면의 접착층이 파괴되는 층간분리 현상이 발생할 수 있기 때문에 계면의 접착층에 대한 한계응력과 에너지 해방률을 실험적으로 도출해야만 한다. 하지만, 온도에 따른 에너지 해방률을 실험적으로 도출하는 과정에서 측정 장비의 사용 온도에 대한 제약을 받는다. 따라서, 본 연구에서는 Levenberg-Marquardt 기법을 기반한 역해석 기법을 사용하여 접착층에 대한 모드 I 한계응력과 에너지 해방률에 대한 예측 가능성을 확인하는 것이 목표다. 먼저, 한계응력은 접착층의 인장강도와 같다고 가정하였으며, 에너지 해방률은 DCB 시험(double cantilever beam test)을 수행하여 정의하였다. 또한, 유한요소법 기반 모델을 적용하여 한계응력과 에너지 해방률을 수치해석적으로 예측할 수 있는 지 확인하였다. 그 후, Levenberg-Marquardt 기법을 유한요소법 기반 모델에 적용하여 모드 I 한계응력과 에너지 해방률을 수치해석적으로 예측하였다. 아울러, 본 연구에서 사용한 역해석 기법의 수렴성을 확보하기 위하여 두 가지 경우의 초기 매개변수에 대한 역해석을 추가적으로 수행하였다. 결과적으로, 본 연구에서 사용한 역해석 기법은 모드 I 한계응력과 에너지 해방률을 효과적으로 예측할 수 있음을 보였다.

엔진 운전시 크랭크샤프트의 면내.외 모드의 거동 해석 (Analysis of the Crankshaft Behavior on In-plane and Out-plane Mode at the Firing Stage)

  • 아미누딘;이해진;이정윤;오재응
    • 한국소음진동공학회논문집
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    • 제16권4호
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    • pp.319-328
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    • 2006
  • 4-실린더 엔진의 작동 시 크랭크샤프트의 기계적 거동을 해석하는 방법에 관한 연구 논문이다 이 해석의 목적은 모드 해석을 단순화 하기위해 Pin 과 Arm을 일정하게 가정하고, 이를 통해 단순화된 크랭크샤프트의 특성을 연구하는 것이며, 해석을 통하여 얻어진 전달 함수에서의 고유진동수와 모드 형상을 실험을 통한 모드 해석과 비교하였다. 시뮬레이션을 통한 결과와 실험을 비교한 결과 해석치와 실험치의 값이 일치함을 확인할 수 있었고 이를 통하여 해석 모델을 검증하였다. 또한 검증된 모델을 통하여 엔진 작동 시 크랭크샤프트의 특성을 해석하고자 하였다. 초기 연소 조건에 기초하여 주파수 영역에서 크랭크샤프트의 동적 거동을 해석하기 위한 새로운 방법을 기술하였다. 새로운 기법은 엔진의 작동 조건에서 저널 베어링과 밸런서의 형상 변경을 통하여 얻어진 에너지 값을 계산하기 위해서 RMS값을 이용하였다.

An improved modal strain energy method for structural damage detection, 2D simulation

  • Moradipour, Parviz;Chan, Tommy H.T.;Gallag, Chaminda
    • Structural Engineering and Mechanics
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    • 제54권1호
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    • pp.105-119
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    • 2015
  • Structural damage detection using modal strain energy (MSE) is one of the most efficient and reliable structural health monitoring techniques. However, some of the existing MSE methods have been validated for special types of structures such as beams or steel truss bridges which demands improving the available methods. The purpose of this study is to improve an efficient modal strain energy method to detect and quantify the damage in complex structures at early stage of formation. In this paper, a modal strain energy method was mathematically developed and then numerically applied to a fixed-end beam and a three-story frame including single and multiple damage scenarios in absence and presence of up to five per cent noise. For each damage scenario, all mode shapes and natural frequencies of intact structures and the first five mode shapes of assumed damaged structures were obtained using STRAND7. The derived mode shapes of each intact and damaged structure at any damage scenario were then separately used in the improved formulation using MATLAB to detect the location and quantify the severity of damage as compared to those obtained from previous method. It was found that the improved method is more accurate, efficient and convergent than its predecessors. The outcomes of this study can be safely and inexpensively used for structural health monitoring to minimize the loss of lives and property by identifying the unforeseen structural damages.

진공차단부에서 발생하는 확산형 아크 수치해석 (Numerical Study on a Diffused-mode Arc within a Vacuum Interrupter)

  • 조성훈;황정훈;이종철;최명준;권중록;김윤제
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2008년도 춘계학술대회논문집
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    • pp.479-482
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    • 2008
  • In order to more closely examine the vacuum arc phenomena, it is necessary to predict the magnetohydrodynamic (MHD) characteristics by the multidisciplinary numerical modeling, which is coupled with the electromagnetic and hydrodynamic fields, simultaneously. In this study, the thermal-fluid characteristics of high current vacuum arcs were calculated by a commercial multiphysics package, ANSYS, in order to obtain Joule heat, Lorentz force and the interactions with flow variables. We assumed the diffused-mode arc within an AMF vacuum interrupter. It was found with four different currents that the temperature distributions on the anode surface are diffused uniformly without concentration in 7kA for both types (cup and coil-type). But the arc plasma transition and an increase of thermal flux density for increasing the applied current have caused the change of temperature distributions on the anode surface. We should need further studies on the two-way coupling method and radiation model for arc plasmas in order to accomplish the advanced analysis method for multiphysics.

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퍼지-슬라이딩모드 제어기를 이용한 외바퀴 로봇의 자세제어 및 방향제어 (Attitude and Direction Control of the Unicycle Robot Using Fuzzy-Sliding Mode Control)

  • 이재오;한성익;한인우;이석인;이장명
    • 제어로봇시스템학회논문지
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    • 제18권3호
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    • pp.275-284
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    • 2012
  • This paper proposes an attitude and direction control of a single wheel balanced robot. A unicycle robot is controlled by two independent control laws: the mobile inverted pendulum control method for pitch axis and the reaction wheel pendulum control method for roll axis. It is assumed that both roll dynamics and pitch dynamics are decoupled. Therefore the roll and pitch dynamics are obtained independently considering the interaction as disturbances to each other. Each control law is implemented by a controller separately. The unicycle robot has two DC motors to drive the disk for roll and to drive the wheel for pitch. Since there is no force to change the yaw direction, the present paper proposes a method for changing the yaw direction. The angle data are obtained by a fusion of a gyro sensor and an accelerometer. Experimental results show the performance of the controller and verify the effectiveness of the proposed control algorithm.

Free vibration of FG-GPLRC spherical shell on two parameter elastic foundation

  • Eyvazian, Arameh;Musharavati, Farayi;Talebizadehsardari, Pouyan;Sebaey, Tamer A.
    • Steel and Composite Structures
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    • 재36권6호
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    • pp.711-727
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    • 2020
  • In the present research, the free vibration analysis of functionally graded (FG) nanocomposite deep spherical shells reinforced by graphene platelets (GPLs) on elastic foundation is performed. The elastic foundation is assumed to be Winkler-Past ernak-type. It is also assumed that graphaene platelets are randomly oriented and uniformly dispersed in each layer of the nanocomposite shell. Volume fraction of the graphene platelets as nanofillers may be different in the layers. The modified HalpinTsai model is used to approximate the effective mechanical properties of the multilayer nanocomposite. With the aid of the first order shear deformation shell theory and implementing Hamilton's principle, motion equations are derived. Afterwards, the generalized differential quadrature method (GDQM) is utilized to study the free vibration characteristics of FG-GPLRC spherical shell. To assess the validity and accuracy of the presented method, the results are compared with the available researches. Finally, the natural frequencies and corresponding mode shapes are provided for different boundary conditions, GPLs volume fraction, types of functionally graded, elastic foundation coefficients, opening angles of shell, and thickness-to-radius ratio.