• 제목/요약/키워드: Damped vibration system

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A Vibration-Rejection Control for a Magnetic Suspension System

  • Kim, Jong-moon;Kim, Choon-kyung;Park, Min-kook;Kim, Seog-joo
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.37.4-37
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    • 2001
  • This paper presents a vibration-rejection control design for a magnetic suspension system which has strong non-linearity, open-loop unstable characteristics, high-order flexible modes, and parameter variations. The target plant to be controlled consists of a U-core electromagnet and a flexible rail. We describe the test rig and formulate the mathematical model and then we set up a control problem as the mixed sensitivity problem where the augmented plant is constructed with frequency weighting functions and the feedback controller is designed by using the H$\infty$ controller. The effectiveness of the designed controller for the magnetic suspension system with high-order flexible modes is validated and justified using several simulations. These results show that the magnetic suspension system is robustly stable against disturbance and gives the well-damped tracking performance ...

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Measurement dynamic properties of railways and health monitoring (철도 궤도의 동특성 측정 및 건전도 모니터링)

  • Lee, Je-Pil;Park, Jun-Hong
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2009.10a
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    • pp.816-816
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    • 2009
  • In order to attenuate structural waves in railway track, damped mass-spring absorber system and spring supported system are considered that are attached continuously along the beam length. A mathematical model is presented for the propagation of structural waves on a finitely long, periodically supported classical beam. The model in this paper could represent a railway track where the beam represents the rail and an appropriately chosen support type represents the pad/sleeper/ballast system of a railway track. And in this study, it is presented that the measurement method of health monitoring of railway track.

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

  • Greco, Annalisa;Santini, Adolfo
    • Structural Engineering and Mechanics
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    • v.14 no.6
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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.

Design and Sensitivity Analysis of Input Shaping Filter in the Z-domain (Z-영역에서 입력성형기의 설계와 민감도 해석)

  • Park, Un-Hwan;Lee, Jae-Won;Im, Byeong-Deok
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.7 s.178
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    • pp.1854-1862
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    • 2000
  • Input shaping method is to convolute input shaper, which is sequence of impulses, with reference input command not to excite the natural frequency of system. To reduce residual vibration for the ch ange of frequency, the number of impulses should be increased. Until now, amplitudes and time interval of those has been searched from the derivative of residual vibration. However, if time interval of impulses is fixed as the half of vibration period of system, input shaper H(z) in z-domain becomes (I-pz-1)n/K in which increasing n is the mean that robustness for change of parameter is improved. Also, design of many types of input shapers in z-domain is very easy because sensitivity curve is displayed with $\mid$H(z)zn$\mid$$\times$100. In the z-domain, EI(Extra-Insensitive) input shaper could be designed without solving nonlinear simultaneous equations as design in continuous time domain. In addition to, the design possibility of input shaper for a damped system was shown.

Spectral Analysis Method for the Multi-DOFs Dynamic Systems with Non-Proportional Damping (비비례 진동감쇠를 갖는 선형 동역학계의 스펙트럴 해석법)

  • Cho, Joo-Yong;Kim, Sung-Hwan;Lee, U-Sik
    • Proceedings of the KSR Conference
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    • 2004.10a
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    • pp.411-416
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    • 2004
  • This paper introduces a fast Fourier transform (FFT)-based spectral analysis method for the transient responses as well as the steady-state responses of linear dynamic systems with non-proportional damping. The force vibration of a non-proportionally damped three-DOF system is considered as the illustrative numerical example. The proposed spectral analysis method is evaluated by comparing with the numerical solution obtained by the Runge-Kutta method

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A study on vibration characteristics and tuning of smart cantilevered beams featuring an electo-rheological fulid

  • Park, S.B.;Cheong, C.C.;Suh, M.S.
    • Journal of the Korean Society for Precision Engineering
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    • v.10 no.1
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    • pp.134-141
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    • 1993
  • Electro-Rheological(ER) fluids undergo a phase-change when subjected to an external electic field, and this phase-change typically manifests itself as a many-order-of-magnitude change in the rheological behavior. This phenomenon permits the global stiffness and energy- dissipation properties of the beam structures to be tuned in order to synthesize the desired vibration characteristics. This paper reports on a proof-of-concept experimental investigation focussed on evaluation the vibration properties of hollow cantilevered beams filled with an ER fluid. and consequently deriving an empirical model for predicting field-dependent vibration characteristics. A hydrous-based ER fluid consisting of corn starch and silicone oil is employed. The beams are considered to be uniform viscoelastic materials and modelled as a viscously-damped harmonic oscillator. Natural frequency, damping ratio and elastic modulus are evaluated with respect to the electric field and compared among three different beams: two types of different volume fraction of ER fluid and one type of different particle concentration of ER fluid by weight. Transient and forced vibration responses are examined in time domain to demonstrate the validity of the proposed empirical model and to evaluate the feasibility of using the ERfluid as an actuator in a closed-loop control system.

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New Global Curve-Fitting Method Using Frequency Response Function (주파수 전달함수를 이용한 신 포괄 곡선맞춤법)

  • Min, Cheon-Hong;Park, Han-Il;Bae, Soo-Ryong;Jeon, Jae-Jin
    • Journal of Ocean Engineering and Technology
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    • v.23 no.6
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    • pp.82-86
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    • 2009
  • Several damping materials have been employed to reduce the vibration of structures. While it is important to estimate the damping matrix when analyzing damped composite structures using the finite element method (FEM), at present, there is no FEM program that can correctly estimate the damping matrix. In this paper, a new global curve-fitting method is proposed for identifying the system parameters of non-proportional damping structures using a frequency response function. An experimental test for a cantilever beam attached damping material was carried out to verify the performance of the method proposed in this study.

Direct identification of modal parameters using the continuous wavelet transform, case of forced vibration

  • Bedaoui, Safia;Afra, Hamid;Argoul, Pierre
    • Earthquakes and Structures
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    • v.6 no.4
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    • pp.393-408
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    • 2014
  • In this paper, a direct identification of modal parameters using the continuous wavelet transform is proposed. The purpose of this method is to transform the differential equations of motion into a system of algebraic linear equations whose unknown coefficients are modal parameters. The efficiency of the present method is confirmed by numerical data, without and with noise contamination, simulated from a discrete forced system with four degrees-of-freedom (4DOF) proportionally damped.

Transitional Vibration Characteristics of Single Degree of Freedom System through the Resonance (공진을 통과하는 일자유도계의 과도진동 특성)

  • Chung, Tae-Jin;Hong, Dong-Pyo;Tae, Sin-Ho
    • Journal of the Korean Society for Precision Engineering
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    • v.10 no.3
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    • pp.41-46
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    • 1993
  • The transitional characterisics of oscillations and rotational speeds from the starting to the stationary states in damped single degree of freedom systems acted upon the rotor unbalance forces are studied. Angular travel is assumed to vary with time. The theoretical analysis is obtained by using Laplace transform method. Integration involved in the theoretical results is carried out by the numerical analysis program of continuous-time linear systems to arbitrary inputs. It is evident that the transitional charcterixtics of a machine are affected remarkably by damping ratios, stationary angular velocity time and frequency ratios.

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Chaos on the Rocking Vibration of Rigid Block Under Two Dimensional Sinusodial Excitation (In the Case of No Sliding Occurrence) (2차원 정현파 가진을 받는 강체블록의 록킹진동에 있어서의 카오스 (미끄럼이 없는 경우에 대하여))

  • 정만용;김정호;김지훈;양광영;양인영
    • Journal of the Korean Society of Safety
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    • v.14 no.2
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    • pp.42-51
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    • 1999
  • This research deals with the non-linearities associated with impact and sliding for the rocking behavior of rigid block subjected to two dimensional excitation of horizontal and vertical direction. The non-linearities examined of impact between block and base: The transition of two governing rocking equations, the abrupt reduction in kinetic energy associated with impact. In this study, the rocking vibration system of two types are considered for several friction condition. One is the undamped rocking vibration system, disregarding energy dissipation at impact and the other is the damped rocking system, including energy dissipation at impact. The response analysis by non-dimensional rocking equation is carried out for the change of excitation amplitude. The chaos responses were discovered in the wide response region, particularly, in the case of high vertical excitation and their chaos characteristics are examined by Poincare map, power spectra and Lyapunov Exponent. The complex behavior of chaos response, in the phase space, were illustrated by Poincare map. Therefore, Poincare map will be a significant material in order to understand chaos of rocking system.

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