• Title/Summary/Keyword: parametric vibration

Search Result 496, Processing Time 0.024 seconds

Tuned liquid column dampers with adaptive tuning capacity for structural vibration control

  • Shum, K.M.;Xu, Y.L.
    • Structural Engineering and Mechanics
    • /
    • v.20 no.5
    • /
    • pp.543-558
    • /
    • 2005
  • The natural frequencies of a long span bridge vary during its construction and it is thus difficult to apply traditional tuned liquid column dampers (TLCD) with a fixed configuration to reduce bridge vibration. The restriction of TLCD imposed by frequency tuning requirement also make it difficult to be applied to structure with either very low or high natural frequency. A semi-active tuned liquid column damper (SATLCD), whose natural frequency can be altered by active control of liquid column pressure, is studied in this paper. The principle of SATLCD with adaptive tuning capacity is first introduced. The analytical models are then developed for lateral vibration of a structure with SATLCD and torsional vibration of a structure with SATLCD, respectively, under either harmonic or white noise excitation. The non-linear damping property of SATLCD is linearized by an equivalent linearization technique. Extensive parametric studies are finally carried out in the frequency domain to find the beneficial parameters by which the maximum vibration reduction can be achieved. The key parameters investigated include the distance from the centre line of SATLCD to the rotational axis of a structure, the ratio of horizontal length to the total length of liquid column, head loss coefficient, and frequency offset ratio. The investigations demonstrate that SATLCD can provide a greater flexibility for its application in practice and achieve a high degree of vibration reduction. The sensitivity of SATLCD to the frequency offset between the damper and structure can be improved by adapting its frequency precisely to the measured structural frequency.

Estimation of Longitudinal Vibration Using Transverse Vibration of a String Subject to Parametric Oscillation (매개변수가진에 종속되는 현의 횡방향 진동을 이용한 종방향 진도의 추정)

  • 김도균;김광준
    • Journal of KSNVE
    • /
    • v.4 no.3
    • /
    • pp.365-375
    • /
    • 1994
  • Periodic longitudinal vibrations of a video and audio tape and the like used for transducing pictures and sounds may be induced by self-excited vibrations which are caused by frictions against the heads and guides, and their eccentricity, noncircularity or irregularity. It is important to analyze the longitudinal vibration of a tape because it causes distortions of a reproduced signal. It is difficult to measure directly the longitudinal vibration. In this paper a method estimating longitudinal vibration using impulse responses in the transverse direction is presented. And, the parameters boundary domain where the transverse and longitudinal vibration can be decoupled is introduced. In the domain where the both vibrations are decoupled, analytic methods using frequency characteristics and transient responses of the transverse vibration, respectively, are presented. The time domain method predicted more exactly the instantaneous phase of the longitudinal vibration than frequency domain method did.

  • PDF

Nonlocal free vibration analysis of a doubly curved piezoelectric nano shell

  • Arefi, Mohammad
    • Steel and Composite Structures
    • /
    • v.27 no.4
    • /
    • pp.479-493
    • /
    • 2018
  • In this paper nonlocal free vibration analysis of a doubly curved piezoelectric nano shell is studied. First order shear deformation theory and nonlocal elasticity theory is employed to derive governing equations of motion based on Hamilton's principle. The doubly curved piezoelectric nano shell is resting on Pasternak's foundation. A parametric study is presented to investigate the influence of significant parameters such as nonlocal parameter, two radii of curvature, and ratio of radius to thickness on the fundamental frequency of doubly curved piezoelectric nano shell.

Chaotic Vibration of a Curved Oipe Conveying Oscillatory Flow (조화진동유동을 포함한 곡선파이프계의 혼돈운동 연구)

  • 박철희;홍성철;김태정
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 1996.10a
    • /
    • pp.288-294
    • /
    • 1996
  • In this paper, Chaotic motions of a curved pipe conveying oscillatory flow are theoretically investigated. The nonlinear partial differential equation of motion is derived by Newton's method. The transformed nonlinear ordinary differential equation is a type of Hill's equation, which have the parametric and external excitation. Bifurcation curves of chaotic motion of the piping systems are obtained by applying Melnikov's method. Poincare maps numerically demonstrate theoretical results and show transverse homoclinic orbit of the chaotic motion.

  • PDF

Vibration behavior of bi-dimensional functionally graded beams

  • Selmi, Abdellatif
    • Structural Engineering and Mechanics
    • /
    • v.77 no.5
    • /
    • pp.587-599
    • /
    • 2021
  • Based on Euler-Bernoulli beam theory and continuous element method, the free vibration of bi-dimensional functionally graded beams is investigated. It is assumed that the material properties vary exponentially along the beam thickness and length. The characteristic frequency equations of beams with different boundary conditions are obtained by transfer matrix method. The validity of the proposed method is assessed through comparison with available results. Parametric studies are carried out to analyze the influences of the gradient indexes and the beam slenderness ratio on the natural frequencies of bi-dimensional functionally graded beams.

Parametric Resonance Characteristics of Laminated Composite Curved Shell Panels in a Hygrothermal Environment

  • Sahu, S.K.;Rath, M.K.;Datta, P.K.;Sahoo, R.
    • International Journal of Aeronautical and Space Sciences
    • /
    • v.13 no.3
    • /
    • pp.332-348
    • /
    • 2012
  • The present study deals with the parametric resonance behaviour of laminated composite curved shell panels in a hygrothermal environment using Bolotin's approach. A simple laminated model is developed using first order shear deformation theory (FSDT) for the vibration and dynamic stability analysis of laminated composite shells subjected to hygrothermal conditions. A computer program based on the finite element method (FEM) in a MATLAB environment is developed to perform all necessary computations. Quantitative results are presented to show the effects of curvature, ply-orientations, degree of orthotropy and geometry of laminates on the parametric instability of composite curved shell panels for different temperature and moisture concentrations. The excitation frequencies of laminated composite panels decrease with the increase of temperature and moisture due to reduction of stiffness for all laminates.

Influence of cable loosening on nonlinear parametric vibrations of inclined cables

  • Wu, Qingxiong;Takahashi, Kazuo;Chen, Baochun
    • Structural Engineering and Mechanics
    • /
    • v.25 no.2
    • /
    • pp.219-237
    • /
    • 2007
  • The effect of cable loosening on the nonlinear parametric vibrations of inclined cables is discussed in this paper. In order to overcome the small-sag limitation in calculating loosening for inclined cables, it is necessary to first derive equations of motion for an inclined cable. Using these equations and the finite difference method, the effect of cable loosening on the nonlinear parametric response of inclined cables under periodic support excitation is evaluated. A new technique that takes into account flexural rigidity and damping is proposed as a solution to solve the problem of divergence. The regions of inclined cables that undergo compression are also indicated.

Analysis of Equal Sensation Curves for the Korean People about Vertical Whole-Body Vibration (앉은 자세 수직축 전신 진동에 대한 한국인의 등감각 곡선 분석)

  • Kim, Kun-Woo;Kim, Min-Seok;Yoo, Wan-Suk
    • Transactions of the Korean Society of Automotive Engineers
    • /
    • v.18 no.1
    • /
    • pp.105-111
    • /
    • 2010
  • In the field of 'Human Vibration', it has been interested subjects to make equal sensation curves related to translational and rotational direction of whole-body, hand-transmitted and head-transmitted vibration, etc. When we consider the vibration of a vehicle, the main factor is vertical whole-body vibration. Until now, most of equal sensation curves used to derive frequency weighting function had been made using Western people. However, because of the inherent differences (for example, characteristic and shape of body parts, muscular and cellular tissue) between the Western people and the Oriental people, equal sensation curves based on Oriental people might be required. Also, the weight differences between the samples which consist of average-weighted and over-weighted group might cause the difference of equal sensation curves. So, in this study, 20 male Korean people were used to find equal sensation curves subject to vertical whole-body vibration on seated posture. Among 20 males, an over weighted group consisted of 10 male persons and an average weighted group was the others. Integrating and analyzing the data of two groups, some of non-parametric tests such as 'The Wilcoxon Signed Rank Test' and 'The Mann Whitney U test' were used.

Methodology on Improving Vibration Characteristics of Servo Write Fixture (서보라이트 픽스쳐의 진동 특성 개선 방법)

  • Yoon, Tae-Yong;Ku, C.P. Roger;Hanlon, Andrew K.;Taylor, Charles L.
    • Transactions of the Society of Information Storage Systems
    • /
    • v.7 no.2
    • /
    • pp.47-52
    • /
    • 2011
  • This paper presents a method to improve vibration characteristics of servo track write (STW) fixture. STW fixtures supported by flexible mounts are subject to various vibration sources. Using Finite element analysis (FEA) vibration modes of the fixture are identified. The FEA results suggest certain vibration modes be reduced through design change of flexible mounts to improve vibration responses of the fixture. Based on layered flexible mounts theory a parametric study on shear and bending stiffness is performed to obtain a suitable flexible mount design leading to increased resistance to rocking motion. Experiments confirm improvement of vibration characteristics and drive performance through new mounts design.

Random Vibration of Non-linear System with Multiple Degrees of Freedom (다자유도 비선형계의 불규칙 진동 해석)

  • Lee, Sin-Young
    • Transactions of the Korean Society of Machine Tool Engineers
    • /
    • v.15 no.5
    • /
    • pp.21-28
    • /
    • 2006
  • Vibration of a non-linear system with multiple degrees of freedom under random parametric excitations was evaluated by probabilistic method. The non-linear characteristic terms of system structure were quasi-linearized and excitation terms were remained as they were. An analytical method where the expectation values of square mean of error was minimized was used. The numerical results were compared with those obtained by Monte Carlo simulation. A linear congruential generator and Box-Muller method were used in Monte Carlo simulation. The comparison showed the results by probabilistic method agreed well with those by Monte Carlo simulation.