• 제목/요약/키워드: Modal Transformation

검색결과 66건 처리시간 0.026초

2차원 트러스 구조물에 대한 제어/구조 시스템의 동시최적설계 (Simultaneous Optimal Design of Control-Structure Systems for 2-D Truss Structure)

  • 박중현;김순호
    • 제어로봇시스템학회논문지
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    • 제7권10호
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    • pp.812-818
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    • 2001
  • This paper proposes an optimum design method of structural and control systems, taking a 2-D truss structure as an example. The structure is supposed to be subjected to initial static loads and disturbances. For the structure, a FEM model is formed, and using modal transformation, the equation of motion is transformed into that of modal coordinates in order to reduce the D.O.F. of the FEM model. The structure is controlled by an output feedback $H^$\infty$$ controller to suppress the effect of the disturbances. The design variables of the simultaneous optimal design of control-structure systems are the cross sectional areas of truss members. The structural objective function is the structural weight. The control objective function is the $H^$\infty$$ norm, that is, the performance index of control. The second structural objective function is the energy of the response related to the initial state, which is derived from the time integration of the quadratic form of the state in the closed-loop system. In a numerical example, simulations have been carried out. Through the consideration of structural weight and $H^$\infty$$ norm, an advantage of the simultaneous optimum design of structural and control systems is shown. Moreover, while the optimized performance index of control is almost kept, we can acquire better design of structural strength.

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Lamb파 전달을 이용한 볼트 연결된 얇은 강판부재의 손상해석 (Damage Analysis of Thin Steel Members with Bolt Connection Using Lamb Wave and PZT Element)

  • 이인규;곽효경;김재홍
    • 대한토목학회논문집
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    • 제26권4A호
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    • pp.587-596
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    • 2006
  • 한국 철도교량의 약 46%를 차지하고 있는 강판형교는 노후화 및 진행성 열화로 인해 유지보수에 많은 비용과 노력이 요구되고 있다. 본 연구에서는 강철도교의 다양한 열화조건 중에서 이음부위의 볼트탈락현상을 비파괴 검사방법인 파전달을 이용하여 감지하는 과정을 유한요소해석을 통해 구현하고자 한다. 충격전압이 PZT 패치에 입력되고 이에 의해 발생된 판파(plate wave)인 비대칭 Lamb파의 전달과정을 해석하고 전달시간(time of flight)의 차이와 전달된 에너지(wavelet coefficient)의 변화를 통하여 손상여부와 손상정도 등을 확인하였다. 3차원 유한요소 상세모델을 통해 기본 모드해석, 열린회로(open circuit loop) 동적이력해석을 실행하였고 각 손상 시나리오에 따라 기존 실험결과와 비교분석을 하였다.

Comparative study on dynamic analyses of non-classically damped linear systems

  • Greco, Annalisa;Santini, Adolfo
    • Structural Engineering and Mechanics
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    • 제14권6호
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    • pp.679-698
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    • 2002
  • In this paper some techniques for the dynamic analysis of non-classically damped linear systems are reviewed and compared. All these methods are based on a transformation of the governing equations using a basis of complex or real vectors. Complex and real vector bases are presented and compared. The complex vector basis is represented by the eigenvectors of the complex eigenproblem obtained considering the non-classical damping matrix of the system. The real vector basis is a set of Ritz vectors derived either as the undamped normal modes of vibration of the system, or by the load dependent vector algorithm (Lanczos vectors). In this latter case the vector basis includes the static correction concept. The rate of convergence of these bases, with reference to a parametric structural system subjected to a fixed spatial distribution of forces, is evaluated. To this aim two error norms are considered, the first based on the spatial distribution of the load and the second on the shear force at the base due to impulsive loading. It is shown that both error norms point out that the rate of convergence is strongly influenced by the spatial distribution of the applied forces.

유성(儒城) 서북부(西北部) 우산봉(雨傘峰) 일대(一帶)에 분포(分布)하는 화강암(花崗巖) 복합체(複合體)의 암석학적(岩石學的) 연구(硏究) (Petrology of Granitic Complex Distributed in the Woosanbong area, northwestern part of Yuseong)

  • 김승호;이대성
    • 자원환경지질
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    • 제14권3호
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    • pp.123-142
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    • 1981
  • Granitic complex in the Woosanbong area is composed of schistose granite, two-mica granite, biotite granite, porphyritic granite and pink feldspar granite in order of intrusion. In their boundary aspects, the gradational change between porphyritic granite and pink feldspar granite is observed in field relations. All the granites of the complex are classified to quartz monzonite by the modal compositions following Bateman's classification (1961) with the exception of pink feldspar granite which belongs to granite according to the petrographical classification. The first three granites are characterized by highly development of vein and/or lens-like pegmatites in their bodies, and two others contain green hornblende uniquely. These leucocratic two-mica granite shows an unusual character in ratio of muscovite to biotite 1: 0.7 to 1:13, and contains dominantly microcline. The content of muscovite varies in places in the field. Under the polarizing microscope it is revealed that the muscovite flakes occur as the products altered from biotite partly or completely, and it usually associates with chlorite flakes nearby. These features, therefore, suggests that biotite probably has been altered to muscovite and chlorite by hydration during deuteric processes. At the same stage, sericitization of plagioclase by the hydrolytic decomposition, and transformation of orthoclase to microcline may be taken place. Accordingly, it is obviously permissible to consider the two-mica granite as a kind of 'apo-granite' by deuteric alterations during the consolidation of magma.

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On the accuracy of estimation of rigid body inertia properties from modal testing results

  • Ashory, M.R.;Malekjafarian, A.;Harandi, P.
    • Structural Engineering and Mechanics
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    • 제35권1호
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    • pp.53-65
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    • 2010
  • The rigid body inertia properties of a structure including the mass, the center of gravity location, the mass moments and principal axes of inertia are required for structural dynamic analysis, modeling of mechanical systems, design of mechanisms and optimization. The analytical approaches such as solid or finite element modeling can not be used efficiently for estimating the rigid body inertia properties of complex structures. Several experimental approaches have been developed to determine the rigid body inertia properties of a structure via Frequency Response Functions (FRFs). In the present work two experimental methods are used to estimate the rigid body inertia properties of a frame. The first approach consists of using the amount of mass as input to estimate the other inertia properties of frame. In the second approach, the property of orthogonality of modes is used to derive the inertia properties of a frame. The accuracy of the estimated parameters is evaluated through the comparison of the experimental results with those of the theoretical Solid Work model of frame. Moreover, a thorough discussion about the effect of accuracy of measured FRFs on the estimation of inertia properties is presented.

변위에 기초한 동하중에서 변환된 등가정하중하에서의 구조최적설계 (Structural Optimization under Equivalent Static Loads Transformed from Dynamic Loads Based on Displacement)

  • 강병수;최우석;박경진
    • 대한기계학회논문집A
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    • 제24권8호
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    • pp.1949-1957
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    • 2000
  • All the loads in the real world act dynamically on structures. Since dynamic loads are extremely difficult to handle in analysis and design, static loads are utilized with dynamic factors. The dyna mic factors are generally determined based on experiences. Therefore, the static loads can cause problems in precise analysis and design. An analytical method based on modal analysis has been proposed for the transformation of dynamic loads into equivalent static load sets. Equivalent static load sets are calculated to generate an identical displacement field in a structure with that from dynamic loads at a certain time. The process is derived and evaluated mathematically. The method is verified through numerical tests. Various characteristics are identified to match the dynamic and the static behaviors. For example, the opposite direction of a dynamic load should be considered due to the vibration response. A dynamic bad is transformed to multiple equivalent static loads according to the number of the critical times. The places of the equivalent static load can be different from those of the dynamic load. An optimization method is defined to use the equivalent static loads. The developed optimization process has the same effect as the dynamic optimization which uses the dynamic loads directly. Standard examples are solved and the results are discussed

Stability augmentation of helicopter rotor blades using passive damping of shape memory alloys

  • Yun, Chul-Yong;Kim, Dae-Sung;Kim, Seung-Jo
    • International Journal of Aeronautical and Space Sciences
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    • 제7권1호
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    • pp.137-147
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    • 2006
  • In this study, shape memory alloy damper with characteristics of pseudoelastic hysteresis for helicopter rotor blades are investigated. SMAs can be available in damping augmentation of vibrating structures. SMAs show large hysteresis in the process of pseudoelastic austenite-martensite phase transformation which takes place while subjected to loading above the austenite finish temperature. Since SMAs display pseudoelastic hysteresis behavior over large strain ranges, a significant amount of energy dissipation is possible. A damper can be designed with SMA wires prestressed to a baseline level somewhere in the middle of the pseudoelastic stress range. An experimental study of the effects of pre-strain and cyclic strain amplitude as well as frequency on the damping behavior of pseudoelastic shape memory alloy wires are performed. The effects of the shape memory alloy damper on aeroelastic and ground resonance stability of helicopter are studied. In aeroelastic stability, the dynamic characteristics of blades related to pitch angle and the amplitude of lag motion for the rotor equipped with SMA damper were examined. The performance of SMA damper on ground resonance instability are presented through the frequencies and modal damping with respect to rotating speed.

건물 구조물을 위한 능동 제어 효과를 가지는 수동 점성감쇠기의 최적 설계 (Optimal Design of Passive Viscoelastic Dampers Having Active Control Effect for Building Structures)

  • 황재승;민경원;홍성목
    • 소음진동
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    • 제5권2호
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    • pp.225-234
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    • 1995
  • In this study, first, transformation process of damping ratios, whose are evaluated in active control analysis, into damping matrix resulting from installed viscous dampers is illustrated. Then, a method is followed to maximize the effect of response reduction, which leads to optimum locations and size of viscous dampers using sensitivity analysis. Highly coupled nonlinearity between damping ratios and dampers makes it hard to find the optimal size of dampers. Therefore, the nonlinearity is transformed to linear problem with small increments of damping ratios and the size of dampers can be found. However, there are many cases for the size of dampers satisfying the small increment of damping ratios, so it is necessary to select minimum size using optimization technique. To determine optimum locations of dampers, dampers are assumed to be installed between the different stories and their locations are selected corresponding corresponding to the degree of damping size. Numerical examples for the frame structure and the shear wall structure show that optimum locations and size of dampers are different form each other depending on the characteristics of modal responses of the structures. The proposed method in this study can be applied to get optimum locations of active controller in the active control.

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탄성변형으로 인한 틸팅패드 저널베어링의 예압 변화 (Elastic Deformation Induced Preload Change in Tilting Pad Journal Bearing)

  • 이동현;서준호
    • Tribology and Lubricants
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    • 제39권3호
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    • pp.102-110
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    • 2023
  • This study aims to quantify the variation in the performance of a tilting pad journal bearing (TPJB) owing to the elastic deformation of its pad. To this end, we first defined a parameter, "elastic preload", and predicted the changes in the performance of the TPJB, as a function of the preload amount. We used the iso-viscosity Reynolds equation, which ignores the temperature rise due to viscous shear in thin films, and the resultant thermal deformation of the bearing structure. We employed a three-dimensional finite element model to predict the elastic deformation of the bearing pad, and a transient analysis, to converge to a static equilibrium condition of the flexible pads and journal. Conducting a modal coordinate transformation helped us avoid heavy computational issues arising from a mesh refinement in the three-dimensional finite element pad model. Moreover, we adopted the Hertzian contact model to predict the elastic deformation at the pivot location. With the aforementioned overall strategy, we predicted the performance changes owing to the elastic deformation of the pad under varying load conditions. From the results, we observed an increase in the preload due to the pad elastic deformation.

곡면형 도파로를 사용한 편광 무의존성 방향성 결합기의 구현 (Implementation of Polarization-Insensitive Directional Coupler using Curved Waveguides)

  • 호광춘
    • 한국인터넷방송통신학회논문지
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    • 제16권1호
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    • pp.239-244
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    • 2016
  • 등각변환 해석법과 종방향 모드 전송선로 이론을 이용하여 이중 샌드위치 Rib-형 도파로에 기초한 곡면형 편광 무의존성 방향성 결합기(PI-CDC)의 편광특성을 자세하게 탐구하였다. 제안한 곡면형 방향성 결합기의 편광 무의존성 조건을 얻기 위하여 곡면의 내부 반경 크기에 따라 변하는 quasi-TE 모드와 quasi-TM 모드의 결합길이와 결합효율을 분석하였다. 수치해석 결과, 수 마이크로미터 크기의 곡면형 편광 무의존성 방향성 결합기는 이중 샌드위치 층의 구조적, 물질적 변수들과 곡률반경을 잘 선택함으로써 구현할 수 있음을 보였다. 또한, 곡면형 편광 무의존성 방향성 결합기에서 전파하는 quasi-TE/TM 모드들의 분포 프로필을 분석하였고, 그 분석을 통하여 곡면이 전파특성에 어떤 영향을 미치는지에 대하여 조사하였다.