• 제목/요약/키워드: stability theory

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축 방향 가속을 받는 보 구조물의 동적 안정성 해석 (Dynamic Stability Analysis of an Axially Accelerating Beam Structure)

  • 은성진;유홍희
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2005년도 춘계학술대회논문집
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    • pp.877-882
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    • 2005
  • Dynamic stability of an axially accelerating beam stucture is investigated in this paper. The equations of motion of a fixed-free beam are derived using the hybrid deformation variable method and the assumed mode method. Unstable regions due to periodical acceleration are obtained by using the Floquet's theory. Stability diagrams are presented to illustrate the influence of the dimensionless acceleration, amplitude, and frequency. Also, buckling occurs when the acceleration exceeds a certain value. It is found that relatively targe unstable regions exist around the first bending natural frequency, twice the first bending natural frequency, and twice the second bending natural frequency. The validity of the stability diagram is confirmed by direct numerical integration of the equations of motion.

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강인안정도 기법을 이용한 유도전동기의 전류 제어기 설계 (Design of Current Controller for an Induction Motor using Robust Stability Theory)

  • 박태식;유지윤
    • 전력전자학회논문지
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    • 제8권2호
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    • pp.165-172
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    • 2003
  • 본 논문에서는 강인 안정도 이론을 이용한 유도전동기의 전류 제어기 설계 기법을 제안한다. 제안한 전류 제어기의 설계 기법은 파라미터 변동에 패해 안정도 마진(Stability Margin)을 확보할 수 있도록 제어기의 이득을 선정하는 방식으로 Kharitonov의 강인 안정도 이론을 사용하고 있다. 또한 시뮬레이션을 통해 설계된 전류 제어기의 특성을 일반적인 설계기법을 적용한 전류 제어기의 특성과 비교하여 제안된 설계 기법의 우수성을 입증하였고 0.75kW 유도전동기 구동 시스템을 이용하여 우수한 전류 제어 특성을 확인하였다.

매개변수 가진력을 받아 비행하는 구조물의 동적 모델링 및 안정성 해석 (Dynamic Modeling and Stability Analysis of a Flying Structure undertaking Parametric Excitation Forces)

  • 현상학;유홍희
    • 소음진동
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    • 제9권6호
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    • pp.1157-1165
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    • 1999
  • Dynamic stability of a flying structure undertaking constnat and pulsating thrust force is investigated in this paper. The equations of motion of the structure, which is idealized as a free-free beam, are derived by using the hybrid variable method and the assumed mode method. The structural system includes a directional control unit to obtain the directional stability. Unstable regions due to periodically pulsating thrust forces are obtained by using the Floquet's theory. Stability diagrams are presented to illustrate the influence of the constant force, the location of gimbal, and the frequency of pulsating force. The validity of the diagrams are confirmed by direct numerical simulations of the dynamic system.

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축 방향 가속을 받는 보 구조물의 동적 안정성 해석 (Dynamic Stability Analysis of an Axially Accelerating Beam Structure)

  • 은성진;유홍희
    • 한국소음진동공학회논문집
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    • 제15권9호
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    • pp.1053-1059
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    • 2005
  • Dynamic stability of an axially accelerating beam structure is investigated in this paper. The equations of motion of a fixed-free beam are derived using the hybrid deformation variable method and the assumed mode method. Unstable regions due to periodical acceleration are obtained by using the Floquet's theory. Stability diagrams are presented to illustrate the influence of the dimensionless acceleration, amplitude, and frequency. Also, buckling occurs when the acceleration exceeds a certain value. It is found that relatively large unstable regions exist around the first bending natural frequency, twice the first bending natural frequency, and twice the second bending natural frequency. The validity of the stability diagram is confirmed by direct numerical integration of the equations of motion.

섭동이 있는 제어기를 갖는 시스템의 안정도 향상에 관한 연구 (A Study of Improving Stability of a System with Perturbed Controller)

  • 차영호;정태진;정찬수
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1998년도 추계학술대회 논문집 학회본부 B
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    • pp.466-468
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    • 1998
  • This paper designs a robust controller with improved stability of a system. Robust control theory has been developed by many researchers. The controller derived in that using robust control theory has an assumption that it will be exactly implementation. But, It is very hard because of truncation errors, D-A, A-D transformation, and finite resolution, etc. Such perturbations would make problems in the stability of the system. Recently, Keel's paper presents some examples which shows controllers based on the robust controller design method are very fragile on its own perturbation. In this paper, we try to improve the stability of the closed-loop system in which there exist perturbation in the plant as well as in the controller. The results shows that the stability is improved and the performance is still satisfied.

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Multi-phase magneto-electro-elastic stability of nonlocal curved composite shells

  • Song, Yu;Xu, Jiangyang
    • Steel and Composite Structures
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    • 제41권6호
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    • pp.775-785
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    • 2021
  • Analysis of nonlinear stability behaviors of composite magneto-electro-elastic (MEE) nano-scale shells have been represented in this reaserch. The shell is assumed to be under a transverse mechanical load. Composite MEE material has been produced form piezoelectric and magnetic ingradients in which the material charactristics may be varied according to the percentages of the ingradients. The governing equations including scale effects have been developed in the framework of nonlocal elasticity. It has been demonstrated that nonlinear stability behaviors of MEE nano-sized shells in electrical-magnetic fields rely on the percentages of the ingradients. Also, the efficacy of nonlocality parameter, magnetic intensities and electrical voltages on stability loads of the nanoshells have been researched.

Numerical assessment of nonlocal dynamic stability of graded porous beams in thermal environment rested on elastic foundation

  • Al-Toki, Mouayed H.Z.;Ali, Hayder A.K.;Faleh, Nadhim M.;Fenjan, Raad M.
    • Geomechanics and Engineering
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    • 제28권5호
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    • pp.455-461
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    • 2022
  • Numerical assessment of the dynamic stability behavior of nonlocal beams rested on elastic foundation has been provided in the present research. The beam is made of fucntional graded (FG) porous material and is exposed to thermal and humid environments. It is also consiered that the beam is subjected to axial periodic mechanical load which especific exitation frequency leading to its instability behavior. Beam modeling has been performed via a two-variable theory developed for thick beams. Then, nonlocal elasticity has been used to establish the governing equation which are solved via Chebyshev-Ritz-Bolotin method. Temperature and moisture variation showed notable effects on stability boundaries of the beam. Also, the stability boundaries are affected by the amount of porosities inside the material.

Effect of exercise on the stability of protein tissues

  • Liu, Weixiao;Liu, Yaorong
    • Advances in nano research
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    • 제13권5호
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    • pp.487-497
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    • 2022
  • This study investigates the stability of protein tissues regarding the vibration analysis based on the classical beam theory coupled with the nonlocal elasticity theory concerning the exercise impact. As reported in the previous research, four different types of protein tissues are supposed, and the influence of sports training is investigated. The protein tissues are made of protein fibers surrounded by an elastic foundation. The exercise enhances the muscle area and plays an essential role in the stability and strength of protein and muscle tissues. The results are examined in detail to examine the impact of different parameters on the stability of nano protein fibers.

Nonlinear aerodynamic stability analysis of orthotropic membrane structures with large amplitude

  • Zheng, Zhoulian;Xu, Yunping;Liu, Changjiang;He, Xiaoting;Song, Weiju
    • Structural Engineering and Mechanics
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    • 제37권4호
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    • pp.401-413
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    • 2011
  • The aerodynamic stability of orthotropic tensioned membrane structures with rectangular plane is theoretically studied under the uniform ideal potential flow. The aerodynamic force acting on the membrane surface is determined by the potential flow theory in fluid mechanics and the thin airfoil theory in aerodynamics. Then, based on the large amplitude theory and the D'Alembert's principle, the interaction governing equation of wind-structure is established. Under the circumstances of single mode response, the Bubnov-Galerkin approximate method is applied to transform the complicated interaction equation into a system of second order nonlinear differential equation with constant coefficients. Through judging the stability of the system characteristic equation, the critical divergence instability wind velocity is determined. Finally, from different parametric analysis, we can conclude that it has positive significance to consider the characteristics of orthotropic and large amplitude for preventing the instability destruction of structures.

OUTPUT FEEDBACK SLEWING CONTROL OF FLEWIBLE SPACECRAFT BY LYAPUNOV STABILITY THEORY

  • Kim, Dae-Sik;Kim, Chun-Hwey;Bang, Hyo-Choong
    • Journal of Astronomy and Space Sciences
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    • 제14권2호
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    • pp.367-374
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    • 1997
  • Slewing maneuver and vibration suppression control of flexible spacecraft model by Lyapunov stability theory are considered. The specific model considered in this paper consists of a rigid hub with an elastic appendage attached to the central hub and tip mass. Attitude control to point and stabilize single axis using reaction wheel type device is tested. To control all flexible modes is so critical to designing an active control law. We therefore considered an direct output feeback control design by using Lyapunov stability theory. It is shown that the ouput feedback control law design with proposed configuration gives satisfactory result in slewing performance and vibration suppression control.

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