• 제목/요약/키워드: Dynamic matrix

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Dynamic Analysis of Bending-Torsion Coupled Beam Structures Using Exact Dynamic Elements

  • Hong, Seong-Wook;Kang, Byung-Sik;Park, Joong-Youn
    • International Journal of Precision Engineering and Manufacturing
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    • 제4권1호
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    • pp.15-22
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    • 2003
  • Beams are often subject to bending-torsion coupled vibration due to mass coupling and/or stiffness coupling. This paper proposes a dynamic analysis method using the exact dynamic element for bending-torsion coupled vibration of general plane beam structures with joints. The exact dynamic element matrix for a bending-torsion coupled beam is derived, and the detailed procedure of using the exact dynamic element matrix is also presented. Three examples are provided for validating and illustrating the proposed method. The numerical study proves the proposed method to be useful for dynamic analysis of bending-torsion coupled beam structures with joints.

감도해석을 이용한 구조물의 손상위치 및 크기해석 (Analysis of a Structural Damage Detection Using Sensitivity Analysis)

  • 이정윤
    • 한국공작기계학회논문집
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    • 제12권6호
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    • pp.50-55
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    • 2003
  • This study proposed the analysis of damage detection due to the change of the stiffness of structure by using the original and modified dynamic characteristics. The present approach allows the use of composite data which consist of eigenvalues and eigenvectors. The suggested method is applied to examples of a cantilever and 3 degree of freedom system by modifying the stiffness. The predicted damage detections are in good agreement with these from the structural reanalysis using the modified stiffness.

유연한 기구의 틈새관절 모델링 및 해석방법에 관한 연구 (Dynamic Modeling and Analysis of Flexible Mechanism With Joint Clearance)

  • 홍지수;김호룡
    • 대한기계학회논문집
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    • 제18권12호
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    • pp.3109-3117
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    • 1994
  • To operate a flexible mechanism in high speed its weight must be reduced as far as the structural strength does not decrease too much, but a light-weighted mechanism causes undesirable elastodynamic responses deteriorating the system performance. Besides, clearance within the connections of mechanisms causes rapid wear, increased noise and vibration. Even if the problems described above must be considered in the initial design stage, there has been no effective design process which takes account of the correlation between dynamic characteristics of flexible mechanism and the clearance effect at the joint. In this study, the generalized elastodynamic governing equations which include dynamic characteristics and boundary conditions of flexible mechanism are derived by variational calculus and solved by using FFM theory. To take the clearance effect at joint into account a new dynamic model is presented and also the method of modified stiffness/damping matrix is proposed to activate the dynamic clearance model, which cooperates with the developed governing equation very easily. As the results of this study, the proposed method(modified stiffness/damping matrix) to calculate clearance effect was proved to be superior to the existing one(force reaction method) in solution convergency and calculation performance. Besides this method can be easily adopted to the complex shape joint without calculation of reaction force direction.

스프레이와 댐퍼를 이용한 관류 보일러 스팀 온도의 (2X2) 동역학 행렬 제어에 관한 연구 (A Study on Dynamic Matrix Control using Spray and Damper to Once-through Boiler Steam Temperature)

  • 김우헌;문운철
    • 조명전기설비학회논문지
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    • 제24권1호
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    • pp.91-97
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    • 2010
  • 동역학 행렬 제어(Dynamic Matrix Control) 기법은 각종 산업 현장에서 가장 활발하게 적용되고 있는 고급 제어 기법으로, 최근에는 공정제어의 표준 기법으로 인식되고 있다. 일반적으로 동역학 행렬 제어에서는 대상 플랜트의 거동을 묘사하기 위하여 계단 응답 모델을 이용한다. 본 논문에서는 화력발전의 관류 보일러-터빈 시스템에 동역학 행렬 제어 기법을 적용한 결과를 제시한다. 먼저 제어를 위해 두 개의 입력변수로 스프레이와 댐퍼를 선정한 후, 두 개의 주요 출력 변수에 대한 계단 응답 모델을 생성하였다. 그 후, 생성된 2 입력 - 2 출력 계단 응답 모델을 바탕으로 한, 동역학 행렬 제어의 최적화 계산을 통해 매 순간 보일러 스팀 온도를 제어하는 구조의 제어기를 설계하였다. 제시된 제어기를 두산(주)의 보일러 시뮬레이션 모델인 APESS에 적용한 결과 만족할 만한 제어 성능을 나타냄을 확인하였다.

Dynamic analysis of deployable structures using independent displacement modes based on Moore-Penrose generalized inverse matrix

  • Xiang, Ping;Wu, Minger;Zhou, Rui Q.
    • Structural Engineering and Mechanics
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    • 제54권6호
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    • pp.1153-1174
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    • 2015
  • Deployable structures have gained more and more applications in space and civil structures, while it takes a large amount of computational resources to analyze this kind of multibody systems using common analysis methods. This paper presents a new approach for dynamic analysis of multibody systems consisting of both rigid bars and arbitrarily shaped rigid bodies. The bars and rigid bodies are connected through their nodes by ideal pin joints, which are usually fundamental components of deployable structures. Utilizing the Moore-Penrose generalized inverse matrix, equations of motion and constraint equations of the bars and rigid bodies are formulated with nodal Cartesian coordinates as unknowns. Based on the constraint equations, the nodal displacements are expressed as linear combination of the independent modes of the rigid body displacements, i.e., the null space orthogonal basis of the constraint matrix. The proposed method has less unknowns and a simple formulation compared with common multibody dynamic methods. An analysis program for the proposed method is developed, and its validity and efficiency are investigated by analyses of several representative numerical examples, where good accuracy and efficiency are demonstrated through comparison with commercial software package ADAMS.

계단 응답 모델의 보간을 이용한 화력발전 보일러-터빈 시스템의 동역학 행렬제어(DMC)에 관한 연구 (A Study on Interpolated Step Response Model of Dynamic Matrix Control(DMC) for a Boiler-Turbine System of Fossil Power Plant)

  • 문운철;오석호
    • 조명전기설비학회논문지
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    • 제22권6호
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    • pp.109-115
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    • 2008
  • 동역학 행렬제어(Dynamic Matrix Control) 기법은 각종 산업 현장에서 가장 활발하게 적용되고 있는 고급 제어기법으로, 최근에는 공정제어의 표준 기법으로 인식되고 있다. 동역학 행렬제어에서는 대상 플랜트의 거동을 묘사하기 위하여 계단 응답 모델(Step Response Model)을 이용한다. 한편 화력발전의 보일러-터빈시스템은 심한 비선 형성과 넓은 운전영역으로 인하여 기존의 선형제어기법으로 제어하기에는 그 성능의 한계가 있게 된다. 본 논문에서는 미리 선정된 동작점에서 계단 응답 모델을 개발한 후, 이를 통한 실시간 보간(Interpolation)을 통하여 계단응답 모델을 실시간으로 개선하는 동역학 행렬제어 기법을 제시한다. 제시된 제어 기법은 화력발전의 보일러-터빈 시스템에 적용하여 만족할 만한 제어 성능을 확인하였다.

Dynamic properties of a building with viscous dampers in non-proportional arrangement

  • Suarez, Luis E.;Gaviria, Carlos A.
    • Structural Engineering and Mechanics
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    • 제55권6호
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    • pp.1241-1260
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    • 2015
  • Any rational approach to define the configuration and size of viscous fluid dampers in a structure should be based on the dynamic properties of the system with the dampers. In this paper we propose an alternative representation of the complex eigenvalues of multi degree of freedom systems with dampers to calculate new equivalent natural frequencies. Analytical expressions for the dynamic properties of a two-story building model with a linear viscous damper in the first floor (i.e. with a non-proportional damping matrix) are derived. The formulas permit to obtain the equivalent damping ratios and equivalent natural frequencies for all the modes as a function of the mass, stiffness and damping coefficient for underdamped and overdamped systems. It is shown that the commonly used formula to define the equivalent natural frequency is not applicable for this type of system and for others where the damping matrix is not proportional to the mass matrix, stiffness matrix or both. Moreover, the new expressions for the equivalent natural frequencies expose a novel phenomenon; the use of viscous fluid dampers can modify the vibration frequencies of the structure. The significance of the new equivalent natural frequencies is expounded by means of a simulated free vibration test. The proposed approach may offer a new perspective to study the effect of viscous dampers on the dynamic properties of a structure.

동특성변화에 따른 구조물의 변경된 설계파라미터 예측 (Prediction of Structural Modified Design Parameter due to the Change of Dynamic Characteristic)

  • 이정윤
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 2004년도 춘계학술대회 논문집
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    • pp.191-196
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    • 2004
  • This study proposed the analysis of mass position detection and modified stiffness due to the change of the mass and stiffness of structure by using the original and modified dynamic characteristics. The method is applied to examples of a cantilever and 3 degree of freedom by modifying the mass. The predicted detection of mass positions and magnitudes are in good agrement with these from the structural reanalysis using the modified mass.

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비대칭 보의 굽힘-비틀림 연성 진동 해석 (Dynamic analysis of bending-torsion coupled vibration of non-symmetric beam)

  • 강병식;홍성욱;박중윤;조용주
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2001년도 춘계학술대회논문집
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    • pp.220-225
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    • 2001
  • Asymmetric beams cause complicated vibration phenomena due to the inherent bending-torsion coupled vibration. In this paper, an exact dynamic element matrix for the bending-torsion coupled vibration of asymmetric beam is derived. An application of the derived exact dynamic element matrix is demonstrated by an illustrative example, wherein the natural frequencies by the proposed modeling method are compared with those available in the literature. Another numerical example is also illustrated which deals with a general beam with joints. The numerical study shows that the exact dynamic element model is useful for the dynamic analysis of asymmetric bending-torsion coupled beams.

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충격하중을 받는 금속복합재료의 동적변형거동에 관한 연구 (Dynamic Deformation Behavior of Metal Matrix Composites Under Impact Loading)

  • 김문생;이현철
    • 대한기계학회논문집
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    • 제17권7호
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    • pp.1772-1782
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    • 1993
  • The characteristics of metal matrix composite under dynamic tension at high strain rates up to the order of $10^3/sec$ is studied by using newly developed apparatus. The composite material processed in this research is aluminum-alumina metal matrix composites, arid fabricated by compocasting with the fiber volume fraction from 5 to 20%. The whisker and matrix material used in this paper were ${\delta}-Al_2O_3$ and Al-6061, respectively. The mechanical tests performed in this research are low and high strain rate tensile test. At low strain-rate tensile test, the modulus of elasticity and the ultimate tensile strength of the composites were improved about 77 pct. and 55 pct., respectively comparing with the unreinforced materials. At strain-rate from $10^{-3}\;to\;10^3/s$, the effect of strain-rate on the modulus, ultimate strength, flow stress is determined. Also the effect of strain rate on the modulus, ultimate tensile strength, flow stress and elongation to failures were investigated.