• 제목/요약/키워드: Displacement function

검색결과 1,012건 처리시간 0.026초

Vibration analysis of laminated plates with various boundary conditions using extended Kantorovich method

  • Singhatanadgid, Pairod;Wetchayanon, Thanawut
    • Structural Engineering and Mechanics
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    • 제52권1호
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    • pp.115-136
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    • 2014
  • In this study, an extended Kantorovich method, employing multi-term displacement functions, is applied to analyze the vibration problem of symmetrically laminated plates with arbitrary boundary conditions. The vibration behaviors of laminated plates are determined based on the variational principle of total energy minimization and the iterative Kantorovich method. The out-of-plane displacement is represented in the form of a series of a sum of products of functions in x and y directions. With a known function in the x or y directions, the formulation for the variation of total potential energy is transformed to a set of governing equations and a set of boundary conditions. The equations and boundary conditions are then numerically solved for the natural frequency and vibration mode shape. The solutions are verified with available solutions from the literature and solutions from the Ritz and finite element analysis. In most cases, the natural frequencies compare very well with the reference solutions. The vibration mode shapes are also very well modeled using the multi-term assumed displacement function in the terms of a power series. With the method used in this study, it is possible to solve the angle-ply plate problem, where the Kantorovich method with single-term displacement function is ineffective.

자동차용 파워트레인 마운팅 시스템의 최적설계 (Optimum Design of Vehicle Powertrain Mounting System)

  • 김진훈;이수종;이우현;김정렬
    • 동력기계공학회지
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    • 제14권3호
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    • pp.33-38
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    • 2010
  • Technology of vehicle industry has been developing and it is required a better vehicle performance than before. Therefore, the consumers are asking not only an economic efficiency, functionality, polished design, ride comfort and silence but also a driving stability. The ride comfort, silence and driving stability are influenced by the size of vehicle and various facilities. But the principal factor is a room noise and vibration sensed by a driver and passenger. Thus, the NVH of vehicle has been raised and used as a principal factor for evaluation of vehicle performance. The primary objective of this study is an optimized design of powertrain mounting system. To optimized design was applied MSC.Nastran optimization modules. Results of dynamic analysis for powertrain mounting system was investigated. By theses results, design variables was applied 12 dynamic spring constant. And the weighting factor according to translational displacement and rotational displacement applied 3 cases. The objective function was applied to minimize displacement of powertrain. And the design variable constraint was imposed dynamic spring constant ratio. The constraint of design variable for objective function was imposed bounce displacement for powertrain.

일반화된 Hoek-Brown 암반에 굴착된 원형터널의 내공변위 특성 분석 (Numerical Investigation of the Radial Convergence of Circular Tunnel Excavated in Rock Mass for Generalized Hoek-Brown)

  • 임광옥;이연규
    • 터널과지하공간
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    • 제28권1호
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    • pp.59-71
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    • 2018
  • 일반화된 Hoek-Brown(GHB) 파괴조건식은 GSI 지수를 통해 현장 암반의 절리상태를 체계적으로 고려하여 암반의 강도를 예측하는 파괴함수로서 암반공학적 설계에 널리 활용되고 있다. 이 연구에서는 절리성 암반에 굴착된 원형터널의 내공변위 특성을 분석하기 위하여 GHB 파괴조건식을 항복함수로 활용한 2차원 탄소성 유한요소해석을 수행하였다. 이 과정에서 소성포텐셜 함수의 가정이 탄소성 변위 해석결과에 미치는 영향도 고찰하였다. 탄소성 해석에서는 넓은 범위의 측압비(K) 변화와 암반의 양호성을 나타내는 GSI 값의 변화가 동시에 고려되었다. 각 측압비에 대해 GSI 값의 변화에 따른 측벽변위/천정변위 비를 계산하여 내공변위 발생특성을 분석하였다. 해석결과 측벽변위/천정변위 비는 측압비의 크기뿐만 아니라 GSI 값의 범위에 큰 영향을 받는 것으로 나타났다. 특히 GSI 값이 매우 작은 불량한 암반의 경우 탄소성해석으로 계산한 측벽변위/천정변위 비는 탄성이론으로 계산한 결과와 반대의 경향을 보였다. 또한 소성포텐셜 함수의 형태에 따른 측벽변위/천정변위 비 변화는 대체로 유사한 경향성을 보이는 것으로 나타났다.

Residual displacement estimation of simple structures considering soil structure interaction

  • Aydemir, Muberra Eser;Aydemir, Cem
    • Earthquakes and Structures
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    • 제16권1호
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    • pp.69-82
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    • 2019
  • As the residual displacement and/or drift demands are commonly used for seismic assessment of buildings, the estimation of these values play a very critical role through earthquake design philosophy. The residual displacement estimation of fixed base structures has been the topic of numerous researches up to now, but the effect of soil flexibility is almost always omitted. In this study, residual displacement demands are investigated for SDOF systems with period range of 0.1-3.0 s for near-field and far-field ground motions for both fixed and interacting cases. The elastoplastic model is used to represent non-degrading structures. Based on time history analyses, a new simple yet effective equation is proposed for residual displacement demand of any system whether fixed base or interacting as a function of structural period, lateral strength ratio and spectral displacement.

횡등방성 압전재료에서의 가중함수이론을 이용한 확대계수 계산 (Calculation of Intensity Factors Using Weight Function Theory for a Transversely Isotropic Piezoelectric Material)

  • 손인호;안득만
    • 대한기계학회논문집A
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    • 제36권2호
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    • pp.149-156
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    • 2012
  • 파괴역학에서 가중함수는 응력확대계수를 계산하기 위하여 사용되어진다. 본 논문에서는 균열을 가진 횡등방성 압전재료에 대한 전기-기계적 분석을 행하여 평면변형률 상태의 압전문제를 Leknitskii 해석법으로 풀었고 가중함수이론을 압전재료에 확대 적용하였다. 가중함수이론을 이용하여 응력확대계수와 전기변위확대계수를 구하였다.

보이스 코일 액츄에이터의 PWM 제어에서 듀티비-변위 모델 연구 (Duty Ratio-Displacement Model in PWM Control of Voice Coil Actuator)

  • 황진동;곽용길;김주현;김선호;안중환
    • 한국기계가공학회지
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    • 제6권2호
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    • pp.59-66
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    • 2007
  • Voice coil actuator is used linear motion system that requires precision positioning control. In order to control precision positioning of voice coil actuator, relation model between duty ratio and moving displacement of voice coil actuator is needed. This paper present a duty ratio - displacement model in PWM control of voice coil actuator. Transfer function of voice coil actuator is obtained by combining voice coil motor's equation of motion with the equation of circuit and characteristic of voice coil motor. Consider to initial condition of velocity and current, transfer function is transformed mathematical model. The induced model can predict output displacement, velocity and current according to duty ratio and amplitude. The model is verified by experimental tests such as velocity and displacement response of voice coil motor. Simulated results have tracking errors of less than 10 percent of experimental results.

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이종재료로 구성된 영역의 응력장 해석 개선방안 연구 (A study on the improvement method of the stress field analysis in a domain composed of dissimilar materials)

  • 송기남
    • 대한기계학회논문집A
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    • 제21권11호
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    • pp.1844-1851
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    • 1997
  • Displacement fields and interface stresses are obtained by modifying the potential energy functional with a penalty function which enforces the continuity of stresses at the interface of two-materials. Based on the displacement field and the interface stresses, a new methodology to generate a continuous stress field over the entire domain including the interface of the dissimilar materials has been proposed by combining the L$^{2}$ projection method of stress-smoothing and the Loubignac's iterative method of improving the displacement field. Stress analysis was carried out on two examples which are made of highly dissimilar materials. As a result of the analysis, it is found that the proposed method provides improved continuity of the stress field over the entire domain as well as predicting accurate nodal stresses at the interface. In contrast, the conventional displacement-based finite element method provides significant stress discontinuties at the interfaces. In addition, it was found that the total strain energy evaluated from the improved continuous stress field converge to the exact value as increasing the number of iterations in the proposed method.

Three-dimensional simplified slope stability analysis by hybrid-type penalty method

  • Yamaguchi, Kiyomichi;Takeuchi, Norio;Hamasaki, Eisaku
    • Geomechanics and Engineering
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    • 제15권4호
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    • pp.947-955
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    • 2018
  • In this study, we propose a three-dimensional simplified slope stability analysis using a hybrid-type penalty method (HPM). In this method, a solid element obtained by the HPM is applied to a column that divides the slope into a lattice. Therefore, it can obtain a safety factor in the same way as simplified methods on the slip surface. Furthermore, it can obtain results (displacement and strain) that cannot be obtained by conventional limit equilibrium methods such as the Hovland method. The continuity condition of displacement between adjacent columns and between elements for each depth is considered to incorporate a penalty function and the relative displacement. For a slip surface between the bottom surface and the boundary condition to express the slip of slope, we introduce a penalty function based on the Mohr-Coulomb failure criterion. To compute the state of the slip surface, an r-min method is used in the load incremental method. Using the result of the simple three-dimensional slope stability analysis, we obtain a safety factor that is the same as the conventional method. Furthermore, the movement of the slope was calculated quantitatively and qualitatively because the displacement and strain of each element are obtained.

일축(一軸) 압축(壓縮)을 받는 판(板)의 유한대판법(有限帶板法)에 의한 기하학적(幾何學的) 비선형(非線型) 해석(解析) (Geometrically Nonlinear Analysis of Plates Subjected to Uniaxial Compression by Finite Strip Method)

  • 이용재
    • 대한토목학회논문집
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    • 제5권3호
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    • pp.107-115
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    • 1985
  • 초기(初期)처짐을 가지는 평판(平板)이 일보면내압축하중(一輔面內壓縮荷重)을 받을 때의 거동을 살피기 위하여 새로운 변위함수(變位凾數)를 도입(導入)한 유한대판법(有限帶板法)을 정식화(正式化)하고, 이 이론(理論)에 따라 컴퓨터 프로그램을 편성(編成)하여 여러 경우에 대한 평판(平板)의 거동을 계산(計算)하고 이미 발표된 결과(結果)와 비교해 보았는데 그 요점은 다음과 같다. 1. Curvature effect를 고려하여 면외변위(面外變位)함수로부터 유도한 식을 참고로 하여 새로운 면내변위(面內變位) 함수를 가정하고 이것을 대판요소(帶板要素)의 변위(變位)함수로 사용한 유한대판법(有限帶板法)을 안식화(定式化)하였다. 2. 위에서 안식화(定式化)한 유한대판법(有限帶板法)에 따라 편성(編成)한 프로그램을 써서 수치해석한 결과 변위증분방식(變位增分方式)이 하중증분방식(荷重增分方式)보다 수렴이 빨랐다. 3. 일축압축(一軸壓縮)을 받는 평판(平板)을 여려 경우에 대해 위의방법으로 해석한 결과는 해석적(解析的) 방법(方法)이나 Crisfield(D)에 의(依)한 유한요소법(有限要素法)으로 얻어진 결과와 잘일치 하였다. 따라서 위의 방법은 평판의 비선형해석을 위한 하나의 유용한 방법으로 생각된다.

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도시철도 실시간 모니터링 시스템 적용 사례 (Application of 5678SMRT Real-time Monitoring system)

  • 윤재관;박종헌;김기춘
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2011년도 정기총회 및 추계학술대회 논문집
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    • pp.737-747
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    • 2011
  • 5678SMRT has installed various sensor for operating conditions(field of electric, facilities, signal, communication equipment and track) and environment of Every Function Room for remotely detecting and monitoring. Installed sound sensor for analyzed after remotely heard the noise of every equipment at Every Function Room and temperature sensor for check the temperature condition of Every Function Room. Additional installed voltage sensor in signal equipment room for monitoring RF track-circuit's voltage condition. Installed displacement sensor at The Chungdam bridge's railway for measuring and monitoring track displacement caused by temperature change and Pan/Tilt camera at sub-station and drainage for remotely field monitoring. Installed sensor for each equipment's operating condition and failure at Every Function Room then periodic check of workforce turned to around-the-clock surveillance by sensor therefore improvement of operating equipment. SMRT is lots of prevent a failure by Immediately detect of precondition of equipment failure by analyzed the sensor data. If the occurrence of an failure, become detected Immediately so possibility correct diagnosis and order by remotely field check by installed camera and sound sensor at field.

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