Dynamic modelling and control of a rotating Euler–Bernoulli beam

Yang, Jianying; Jiang, Lishang; Chen, D.Ch.

doi:10.1016/s0022-460x(03)00611-4

Cited by 124 publications

(50 citation statements)

References 21 publications

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“…Transverse and rotational motion as well as control of vibrations for a rotating uniform Euler-Bernoulli beam were studied by Yang et al (2004). In addition, the early research that focused on the problem of rotating nonconstant speed was done in the work by Kammer and Schlack (1987).…”

Section: Introductionmentioning

confidence: 99%

Dynamic and resonance response analysis for a turbine blade with varying rotating speed

Wang

Hao

Chen

et al. 2018

jtam

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A coupling model between turbine blades with a varying rotating speed and oncoming vortices is constructed, where the coupling of the structure and the fluid is simulated by the van der Pol oscillation. Partial differential governing equations of motions for the coupled system are obtained and discretized by using the Galerkin method. The 1:2 subharmonic resonance and the 1:1 internal resonance are investigated with the multiple scale method and first-order averaged equations are then derived. Nonlinear responses and bifurcation characteristics are studied by a numerical integration method. Stability of bifurcation curves is determined by utilizing the Routh-Hurwitz criterion. The effect of system parameters including the detuning parameter, steady-state rotating speed, amplitude of periodic perturbation for the rotating speed and freestream velocity on vibration responses are investigated.

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Section: Introductionmentioning

confidence: 99%

Dynamic and resonance response analysis for a turbine blade with varying rotating speed

Wang

Hao

Chen

et al. 2018

jtam

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“…Abolghasemi and Jalali [11] obtained the attractors of a rotating viscoelastic beam using a perturbation technique, and found that stable limit-cycles exist for the system in both the presence and the absence of structural damping. Dynamic modelling and control of vibration for a uniform rotating cantilever beam was carried out by Yang et al [12]. The transverse vibration of the rotating beam was suppressed using a combinational technique that included positive position feedback control and the momentum exchange feedback method.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamic analysis and state space representation of a manipulator under viscoelastic material conditions

Esfandiar¹,

Daneshmand²

2013

sajie

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In this paper, based on the Voigt-Kelvin constitutive model, nonlinear dynamic modelling and state space representation of a viscoelastic beam acting as a flexible robotic manipulator is investigated. Complete nonlinear dynamic modelling of a viscoelastic beam without premature linearisation of dynamic equations is developed. The adopted method is capable of reproducing nonlinear dynamic effects, such as beam stiffening due to centrifugal and Coriolis forces induced by rotation of the joints. Structural damping effects on the model's dynamic behaviour are also shown. A reliable model for a viscoelastic beam is subsequently presented. The governing equations of motion are derived using Hamilton's principle, and using the finite difference method, nonlinear partial differential equations are reduced to ordinary differential equations. For the purpose of flexible manipulator control, the standard form of state space equations for the viscoelastic link and the actuator is obtained. Simulation results indicate substantial improvements in dynamic behaviour, and a parameter sensitivity study is carried out to investigate the effect of structural damping on the vibration amplitude. OPSOMMING'n Voigt-Kelvin saamgestelde model word in 'n nie-reglynige dinamiese oplossingsruimte gebruik om 'n soepel hanteringsrobot te ontleed. Die modellering is daartoe instaat om nielinêre dinamiese vertoning van styfheid wat ontstaan wees sentrifugale en Corioliskragte te ontleed. Die modelvergelykings is gebaseer op die Hamiltonbeginsel. Simulasieresultate toon betekenisvolle verbetering van sisteemgedrag. Verdere ontledings handel oor strukturele demping en vibrasie-amplitude.

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“…Rotating beams, as simplification of rotating plates, have been extensively investigated, including fundamental dynamics [4] and constrained layer damping studies [5][6][7]. Yoo et al [8][9][10] studied the dynamics of rotating bare and composite plates, using an analytical approach.…”

Section: Introductionmentioning

confidence: 99%

A new plate finite element model for rotating plate structures with constrained damping layer

Xie¹,

Xue²

2011

Finite Elements in Analysis and Design

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Dynamic modelling and control of a rotating Euler–Bernoulli beam

Cited by 124 publications

References 21 publications

Dynamic and resonance response analysis for a turbine blade with varying rotating speed

Dynamic and resonance response analysis for a turbine blade with varying rotating speed

Nonlinear dynamic analysis and state space representation of a manipulator under viscoelastic material conditions

A new plate finite element model for rotating plate structures with constrained damping layer

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