• Title/Summary/Keyword: modes of vibration

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Fermi Resonance and Solvent Dependence of the νC=O Frequency shifts of Raman Spectra: Cyclohecanone and 2-Cyclohexen-1-one

  • Nam, Sang Il;Min, Eun Seon;Jeong, Yeong Mi;Lee, Mu Sang
    • Bulletin of the Korean Chemical Society
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    • v.22 no.9
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    • pp.989-993
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    • 2001
  • The carbonyl stretching vibration, νC=O of 2-cyclohexene-1-one, is in Fermi resonance with a combination tone. The amount of Fermi resonance interaction between these two modes is dependent upon the amount of solute/solvent interaction due to hyd rogen bonding between the carbonyl oxygen and the solvent proton. The corrected νC=O frequency of 2-cyclohexene-1-one occurs at a lower frequency than the observed νC=O mode of cyclohexanone, possibly caused by expanded conjugation effects. The carbonyl stretching modes of cyclic ketones were also affected by interaction with the ROH/CCl4 mixed solvent system.

An Analysis of the Vibrational Modes for a Rectangular Plate by Using the Double Fourier Sine Series Method (이중 사인 시리즈법에 의한 직사각형 평판의 진동모드 해석)

  • 고영준;남효덕;장호경
    • The Journal of the Acoustical Society of Korea
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    • v.18 no.7
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    • pp.39-44
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    • 1999
  • An analysis of the frequency parameters and vibrational modes is described for a rectangular plate. Double Fourier sine series is used as a modal displacement functions of a rectangular plate and applied to the free vibration analysis of a rectangular plate under various boundary conditions. The frequency parameters obtained by the double Fourier sine series method are compared with those obtained by the theory of finite element method and Ritz method. Frequency parameters are presented for the various aspect ratios for plate. The first four modal shapes for the rectangular plate under various boundary conditions are accurately described.

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Optimal design of a piezoelectric passive damper for vibrating plates

  • Yun, Chul-Yong;Kim, Seung-Jo
    • International Journal of Aeronautical and Space Sciences
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    • v.7 no.2
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    • pp.42-49
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    • 2006
  • In this paper, an efficient piezoelectric passive damper is newly devised to suppress the multi-mode vibration of plates. To construct the passive damper, the piezoelectric materials are utilized as energy transformer, which can transform the mechanical energy to electrical energy. To dissipate the electrical energy transformed from mechanical energy, multiple resonant shunted piezoelectric circuits are applied. The dynamic governing equations of a coupled electro-mechanical piezoelectric with multiple piezoelectric patches and multiple resonant shunted circuits is derived and solved for the one edge clamped plate. The equations of motion of the piezoelectrics and shunted circuits as well as the plate are discretized by finite element method to estimate more exactly the effectiveness of the piezoelectric passive damper. The method to find the optimal location of a piezoelectric is presented to maximize effectiveness for desired modes. The electro-mechanical coupling term becomes important parameter to select the optimal location.

Vibration analysis of wave motion in micropolar thermoviscoelastic plate

  • Kumar, Rajneesh;Partap, Geeta
    • Structural Engineering and Mechanics
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    • v.39 no.6
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    • pp.861-875
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    • 2011
  • The aim of the present article is to study the micropolar thermoelastic interactions in an infinite Kelvin-Voigt type viscoelastic thermally conducting plate. The coupled dynamic thermoelasticity and generalized theories of thermoelasticity, namely, Lord and Shulman's and Green and Lindsay's are employed by assuming the mechanical behaviour as dynamic to study the problem. The model has been simplified by using Helmholtz decomposition technique and the resulting equations have been solved by using variable separable method to obtain the secular equations in isolated mathematical conditions for homogeneous isotropic micropolar thermo-viscoelastic plate for symmetric and skew-symmetric wave modes. The dispersion curves, attenuation coefficients, amplitudes of stresses and temperature distribution for symmetric and skew-symmetric modes are computed numerically and presented graphically for a magnesium crystal.

Torque shaping for near-minimum-time optimal slewing of 3-axis spacecraft (3축 위성체의 준최소시간 선회기동을 위한 입력형상최적화)

  • 김기석;김희섭;김유단
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.1330-1333
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    • 1997
  • In this paper, the optimal torque shaping is obtained for 3-axis rotation of a spacecraft. The true optimal 3-axis rotation of rigid spaeraft is first investigated via parameter optimization method with prescribed switching times. Input torque shape of the troque generating device mounted on the central hub is optimized using fourier Series expansion so that the spacecraft may slew while minimizing the vibration energy of flexible modes. Numerical results show that proposed method suggests a reference trahectory for open-loop control, and also verify that it can minimize the vibratory modes of the spacecraft during/after the rest-to-rest maneuver.

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A Spillover Suppression Method in a Flexible Structure Using Eigenstructure Assignment (고유구조지정법을 이용한 유연구조물의 스필오버 억제방법)

  • Park, Jae-Weon;Park, Un-Sik
    • Journal of Institute of Control, Robotics and Systems
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    • v.6 no.11
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    • pp.955-962
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    • 2000
  • Although large space structures(LSS) such as a space station, a solar power station satellite, etc., are theoretically distributed parameter and infinite-dimensional systems, they have to be modeled into a lumped parameter and large finite-dimensional system for control system design. Besides, there remains the fundamental problem that the modeled large finite-dimensional system must be controled with a much smaller dimensional controller due to the limitation of computing resources. This causes the spillover phenomenon which degrades control performances and reduces the stability margin. Furthermore, it may destabilize the entire feedback control system. In this paper, we propose a novel spillover suppression method in the active vibration control of large flexible structures by using eigenstructure assignment. Its validity and effectiveness are investigated and verified by the numerical experiments using a simply supported flexible beam, which is modeled to have four controlled modes and eight uncontrolled modes.

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A Characteristic of Linear Ultrasonic Motor using Langevin Type Transducer (Langevin 진동자를 이용한 선형 초음파 모터의 특성)

  • Seo, San-Dong;Park, Tae-Gone
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2004.07b
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    • pp.627-630
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    • 2004
  • Transducer for linear ultrasonic motor with symmetric and anil anti-symmetric modes was studied. The transducer was composed of two Langevin-type vibrators that cross at right angles with each other at tip. In order to excite two vibration modes, two Langevin-type vibrators must have 90-degree phase difference with each other. As a result, tip of transducers moves in elliptical motion. Elliptical trajectoric of transducer was analyzed by employing the finite element method. From these results, the ultrasonic motor was fabricated and was measured for characteristics. In this paper compared an ANSYS analysis with an experiment results. The no-road maximum speed was 113.1[cm/s].

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Optimal Control of a Flexible Link Robot with Modelling Errors (모델링 오차를 갖는 유연 링크 로봇 최적 제어)

  • 한기봉;이시복
    • Journal of KSNVE
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    • v.6 no.6
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    • pp.791-800
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    • 1996
  • Linear LQG controller has been investigated to control flexible link manipulators. The performance and complexity of these depend largely on the model upon which the controller is designed. In this study, the flexible modes of the link manipulator are considered to have uncertain parameters, which can be represented by random variable and these parameters are reflected on the weighting of performance. In this method, the exact modelling for the flexible modes is not necessary. The order of the resulting controller is much lower than the one based on a full model. Through numerical study, it is shown that the performance and the stability-robustness of the proposed controller reaches reasonably the one based on the full model.

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A Time Domain Modal Parameter Estimation Method for Multiple Input-Output Systems (시간영역에서의 다중 입력-출력시스템의 모드매개변수 추정방법)

  • 이건명
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.8
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    • pp.1997-2004
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    • 1994
  • A model analysis method has been developed in the paper. The method estimates the modal parameters of multiple input-output systems, assesses their quality, and seperates structural modes form computation ones. The modal parameter extraction algorithm is the least squares method with a finite difference model relating input and output time data. The quality of the estimated system model can be assessed in narrow frequency bands by comparing the measured and model predicted responses in time domain with the aid of digital filters. Structural modes can be effectively separated from computational ones using the convergence factor which represents the pole convergence rate. The modal analysis method has been applied to simulated and experimental vibration data to evaluate its utility and limitations.

Nonlinear Aeroelastic Analysis of Flat Plate Wing with Flaperon (플래퍼론이 있는 평판 날개의 비선형 공탄성해석)

  • Bae, Jae-Sung
    • Journal of the Korean Society for Aviation and Aeronautics
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    • v.14 no.1
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    • pp.22-27
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    • 2006
  • The linear and nonlinear aeroelastic analyses of a flat plate wing with flaperon have been performed by using frequency-domain and time-domain analyses. Natural modes from free vibration analysis and a doublet-hybrid method (DHM) are used for the computation of subsonic unsteady aerodynamic forces. The flaperon hinge is represented by a free-play spring and is linearized by the described function method. The linear and nonlinear flutter analyses indicate that flapping mode of the flaperon, the hinge stiffness and free-play of hinge have significant effects on the aeroelastic characteristics. From the nonlinear flutter analysis, different modes like stable and unstable limit-cycle-oscillation are observed in same flutter velocity depending on initial conditions.

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