Nonlinear free vibrations of centrifugally stiffened uniform beams at high angular velocity

Bekhoucha, Ferhat; Rechak, Saïd; Duigou, Laëtitia; Cadou, Jean-Marc

doi:10.1016/j.jsv.2016.05.045

Cited by 16 publications

(3 citation statements)

References 45 publications

(106 reference statements)

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“…30 The nonlinear free vibrations of a centrifugally stiffened beams with an constant angular velocity are studied using Galerkin method. 32 Similar phenomena are observed frequently in simulations of high speed rotating and constrained systems, and the factors are entangled making the scenario more complex.…”

Section: Introductionmentioning

confidence: 57%

“…In the high-speed rotational dynamics, compared to rigid systems, the flexible bodies leads to the different difficulty for dealing with flexible systems. The researches on high-speed rotating elastic beam were studied in the literature, [29][30][31][32] where classical linearization of deformation is no longer suitable and the geometric stiffening causes trouble in the simulation. The remedy is to take the nonlinear deformation into consideration.…”

Section: Introductionmentioning

confidence: 99%

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Simulation of high speed rotating dynamics in constrained mechanical systems

Zhou

Ren

2022

Proceedings of the Institution of Mechanical Engineers, Part K:

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High-speed rotating motion is an important issue in mechanical systems such as propellers or turbine blades. Difficulties occurs in the simulation of high-speed rotating dynamics, resulting in unexpected and unreliable numerical results. For example, the calculated angular velocity usually doesn’t increase linearly but grows until reaching a saturation value under a constant torque. This phenomenon will be more complex in constrained mechanical systems, especially in a flexible system. This work aims to address this issue that arises in the simulation of high-speed rotating dynamics, where a new formulation of non-linear floating frame of reference formulation is proposed to solve constrained flexible system. Pros and cons of various numerical techniques in the field of multibody system dynamics are compared and discussed here. These techniques involve the Euler parameter formulation, local rotational parameters, minimal coordinate set approach and the nonlinear elastic formulation. Cases with constrained rigid or flexible system are studied here. This work provides an insight into practical simulations of high-speed rotating mechanical systems.

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Section: Introductionmentioning

confidence: 57%

Section: Introductionmentioning

confidence: 99%

Simulation of high speed rotating dynamics in constrained mechanical systems

Zhou

Ren

2022

Proceedings of the Institution of Mechanical Engineers, Part K:

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“…Research on the vibration characteristics of rotating beam structures has attracted the attention of many researchers (Banerjee and Sobey, 2002; Bekhoucha et al, 2016; Ramachandran and Ganguli, 2019; Shi et al, 2001). Southwell and Gough (1921) first presented an early method, called the Southwell equation, for calculating the natural frequency of rotating beams.…”

Section: Introductionmentioning

confidence: 99%

Inplane vibration analysis of rotating beams with elastic restraints

Wang

2022

Journal of Vibration and Control

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In this paper, the dynamic model of a rotating beam with elastic restraints is constructed by Euler–Bernoulli and Timoshenko beam theories. The study includes the Coriolis effect and the additional effect of dynamic centrifugal stiffness. A modified Fourier series method is used for expanding displacement field functions in the analysis. The standard eigenvalue equation is established and written in terms of the state space for dynamic analysis. Then, the natural frequencies of the rotating beam are calculated. The convergence analysis and the comparison of the results are carried out to verify the applicability of the method. The effects of the rotational velocity and boundary stiffness on the natural frequencies are analysed. The results show that the influence of the linear spring on the frequency is more evident than that of the torsional spring. The boundary can be considered to be elastic restraints when the boundary stiffness is within a certain interval. With the increase in the rotational velocity, the phenomenon of modal exchange appears. The elastic restraints cause the rotational velocity of the modal exchange to lag. Finally, the reason that the fundamental frequency goes to zero with increasing rotational velocity is explained. The Coriolis effect and elastic restraints reduce the critical velocity.

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Dynamic modeling and resonant analysis of rotating internally connected laminated piezoelectric beams

Ma,

Chen,

et al. 2023

Acta Mech

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Nonlinear free vibrations of centrifugally stiffened uniform beams at high angular velocity

Cited by 16 publications

References 45 publications

Simulation of high speed rotating dynamics in constrained mechanical systems

Simulation of high speed rotating dynamics in constrained mechanical systems

Inplane vibration analysis of rotating beams with elastic restraints

Dynamic modeling and resonant analysis of rotating internally connected laminated piezoelectric beams

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