• Title/Summary/Keyword: resonant motion

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Analysis of the Nonlinear Motions of a Tension Leg Platform in Time Domain (시간영역에서 인장계류식 해양구조물의 비선형 운동응답 해석)

  • 이창호
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.37 no.4
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    • pp.313-320
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    • 2001
  • In the presence of incident waves with different frequencies, there are second order sum and difference frequency wane exciting forces due to the nonlinearty of the incident waves. Although the magnitudes of these nonlinear forces are small, they act at sum and difference frequencies away from those of the incident waves. So, the second order sum and difference frequency wane loads occurring close to the natural frequencies of TLPs often give greater contributions to high and low frequency resonant responses. The components of the second order forces which depend on first order quantities have been evaluated using the three dimensional source distribution method. The numerical results of time domain motion analysis for the nonlinear wave exciting forces in regular waves are compared with the numerical ones of frequency domain analysis. The results of comparison confirmed the validity of the proposed approach.

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Stability Analysis of Cracked Cantilever Beam With Tip Mass and Follower Force (끝단질량과 종동력을 가진 크랙 외팔 보의 안정성 해석)

  • Yoon, Han-Ik;Son, In-Soo;Ahn, Tae-Su
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2007.04a
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    • pp.99-104
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    • 2007
  • In this paper a dynamic behavior(natural frequency) of a cracked cantilever beam with tip mass and follower force is presented. In addition. an analysis of the flutter and buckling instability of a cracked cantilever beam subjected to a follower compressive load is presented. Based on the Euler-Bernouli beam theory, the equation of motion can be constructed by using the Lagrange's equation. The vibration analysis on such cracked beam is conducted to identify the critical follower force for flutter ins stability based on the variation of the first two resonant frequencies of the beam. Besides. the effect of the crack's intensity and location on the flutter follower force is studied. The crack section is represented by a local flexibility matrix connecting two undamaged beam segments. The crack is assumed to be in the first mode of fracture and to be always opened during the vibrations.

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Fluid-Structure Interaction Analysis of Two-Dimensional Wings (2차원 날개의 유체-구조 연성해석)

  • Ahn, Byoung-Kwon;Lee, Suk-Jeong;Kim, Ji-Hye;Kim, Ki-Sup
    • Journal of the Society of Naval Architects of Korea
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    • v.50 no.5
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    • pp.343-348
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    • 2013
  • When a natural frequency of the trailing edge of a wing is close to a vortex shedding frequency, an amplitude of the edge oscillation becomes maximal; it makes intensive noise called singing. Motion of the trailing edge may also feedback to the vortex shedding so that self-sustained oscillation appears, and a resonant frequency is locked in some interval of the speed of the incident flow. In this study, we first evaluate main features of oscillating characteristics of the wing. Second we simulate fluid-structure interaction of the wing with a flap using a commercial code, ANSYS-CFX, and investigate lift characteristics in a frequency domain.

Vertical vibrations of a multi-span beam steel bridge induced by a superfast passenger train

  • Klasztorny, M.
    • Structural Engineering and Mechanics
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    • v.12 no.3
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    • pp.267-281
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    • 2001
  • Transient and quasi-steady-state vertical vibrations of a multi-span beam steel bridge located on a single-track railway line are considered, induced by a superfast passenger train, moving at speed 120-360 km/h. Matrix dynamic equations of motion of a simplified model of the system are formulated partly in the implicit form. A recurrent-iterative algorithm for solving these equations is presented. Excessive vibrations of the system in the resonant zones are reduced effectively with passive dynamic absorbers, tuned to the first mode of a single bridge span. The dynamic analysis has been performed for a series of types of bridges with span lengths of 10 to 30 m, and with parameters closed to multi-span beam railway bridges erected in the second half of the $20^{th}$ century.

Internal resonance and nonlinear response of an axially moving beam: two numerical techniques

  • Ghayesh, Mergen H.;Amabili, Marco
    • Coupled systems mechanics
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    • v.1 no.3
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    • pp.235-245
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    • 2012
  • The nonlinear resonant response of an axially moving beam is investigated in this paper via two different numerical techniques: the pseudo-arclength continuation technique and direct time integration. In particular, the response is examined for the system in the neighborhood of a three-to-one internal resonance between the first two modes as well as for the case where it is not. The equation of motion is reduced into a set of nonlinear ordinary differential equation via the Galerkin technique. This set is solved using the pseudo-arclength continuation technique and the results are confirmed through use of direct time integration. Vibration characteristics of the system are presented in the form of frequency-response curves, time histories, phase-plane diagrams, and fast Fourier transforms (FFTs).

A Numerical Analysis Review of Motion Response Characteristics and Hydrodynamics in Catamaran (쌍동형 선체의 운동응답특성과 동유체력에 관한 수치해석 비교검토)

  • Oh, Young-Cheol;Ko, Jae-Yong
    • Journal of Korea Ship Safrty Technology Authority
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    • s.35
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    • pp.41-51
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    • 2013
  • 선박 고속화와 해양레저선박에 대한 관심 증대로 쌍동형 선체건조가 증가하고 있으며 일반적으로 쌍동형 선체는 복원성, 내항성능 및 저항추진 등에서 단동형 선체보다 고속선형 및 갑판활용에 적합하다고 알려져 있다. 하지만, 쌍동형 선체는 갑판 상에서 두 개의 선체를 동체로 결합시킨 선체로서 운동 시 부체 간 공진현상이 수반된 자유표면 거동과 유체력이 발생할 수가 있다. 따라서, 이 논문에서는 이런 공진현상을 감쇠시킬 수 있는 방안을 모색하여 합리적인 쌍동형 선체의 운동응답특성과 동유체력을 산출하였다.

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Robust Optical Detection Method for the Vibrational Mode of a Tuning Fork Crystal Oscillator

  • Choi, Hyo-Seung;Song, Sang-Hun
    • Journal of Sensor Science and Technology
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    • v.24 no.2
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    • pp.93-95
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    • 2015
  • We present an optical detection method for the fundamental vibrational mode of a tuning fork crystal oscillator in air. A focused He/Ne laser beam is directed onto the edge of one vibrating tine of the tuning fork; its vibrating motion chops the incoming laser beam and modulates the intensity. The beam with modulated intensity is then detected and converted to an electrical signal by a high-speed photo-detector. This electrical signal is a sinusoid at the resonant frequency of the tuning fork vibration, which is 32.76 kHz. Our scheme is robust enough that the sinusoidal signal is detectable at up to $40^{\circ}$ of rotation of the tuning fork.

ON BIFURCATION MODES AND FORCED RESPONSES IN COUPLED NONLINEAR OSCILLATORS

  • Pak, Chol-Hui;Shin, Hyeon-Jae
    • Journal of Theoretical and Applied Mechanics
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    • v.1 no.1
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    • pp.29-67
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    • 1995
  • A procedure is formulated, in this paper, to compute the bifurcation modes born by the stability change of normal modes, and to compute the forced responses associated with bifurcation modes in inertially and elastically coupled nonlinear oscillators. It is assumed that a saddle-loop is formed in Poincare map at the stability chage of normal modes. In order to test the validity of procedure, it is applied to one-to-one internal resonant systems in which the solutions are guaranteed within the order of a small perturbation parameter. The procedure is also applied to the exact system in which normal modes are written in exact form and the stability of normal modes can be exactly determined. In this system the stability change of normal modes occurs several times so that various types of bifurcation modes are created. A method is described to identify a fixed point on Poincare map as one of bifurcation modes. The limitations and advantage of proposed procedure are discussed.

Dynamic Modeling and Vibration Control of Smart Hull Structure (스마트 Hull 구조물의 동적 모델링 및 능동 진동 제어)

  • Sohn, Jung-Woo;Kim, Heung-Soo;Choi, Seung-Bok
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.16 no.8 s.113
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    • pp.840-847
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    • 2006
  • Dynamic modelingand active vibration control of smart hull structure using Macro Fiber Composite (MFC) actuators are conducted. Finite element modeling is used to obtain equations of motion and boundary effects of smart hull structure. Modal analysis is carried out to investigate the dynamic characteristics of the smart hull structure, and compared to the results of experimental investigation. Negative velocity feedback control algorithm is employed to investigate active damping of hull structure. It is observed that non-resonant vibration of hull structure is suppressed effectively by the MFC actuators.

Reducing Effect of Residual Vibration Through Command Input Shaped Considering Partial Modes (부분 모드만을 고려하여 성형된 입력을 이용한 잔류 진동의 감소 효과)

  • Jung, Kwangsuk
    • Journal of Institute of Convergence Technology
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    • v.1 no.1
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    • pp.18-23
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    • 2011
  • Shaping an input command through considering the resonant modes of multi degrees of freedom system, it is possible to realize the wanted motion, without exciting the uncontrollable modes of the flexible system. But, an increase of modes to be considered brings inevitably about the time delay due to an excessive rising time. On the purpose of reducing the rising time, only the interesting and dominant modes can be considered to determine the timing pulses of input shaper. In this paper, an effect of shaper by the partial modes is analysed for a specific system and the input shapers by the partial modes are analysed for three d.o.f damped system, using Matlab simulation.

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