Analysis of magnetoelastic interaction of cantilever conductive thin plate with nonlinear dynamic response

Zhang, Jianping; Yan, Zhijiang; Ding, Quan-Fei; Wu, Helen; Pan, Weiguo

doi:10.1016/j.euromechsol.2012.05.007

Cited by 12 publications

(5 citation statements)

References 10 publications

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“…For the blade, the geometric nonlinear motion equation under the fluid-structure interaction is expressed as [13]:…”

Section: Theoretical Model In the Structural Domainmentioning

confidence: 99%

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Influences of wind and rotating speed on the fluid-structure interaction vibration for the offshore wind turbine blade

Shi¹,

Wang²,

Zhang³

et al. 2019

J. vibroeng.

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For the 5MW offshore wind turbine blade, the control and discrete equations of the fluid domain and structural domain were established respectively, and the calculation formulas of blade loads and damping coefficient were given. Furthermore, the blade entity modeling was completed by using UG and ANSYS Workbench. Based on it, the numerical calculation of blade vibration characteristics under different wind and rotating speeds was carried out, and the reliability verification was conducted by the wind tunnel test. The results of calculation indicate that the numerical results of the first principal stresses at the blade surface along the span-wise direction are consistent with the results of wind tunnel test, which verifies the reliability of the theory and numerical models. Both the influences of the bidirectional fluid-structure interaction (BFSI) and the rotation effect on the characteristics of blade vibration should be underlined. The increase of wind or rotating speed results in the nonlinear increase of the maximum span-wise displacement of the blade and of the Mises-stresses. Under different wind or rotating speed, the blade's maximum displacement occurs at its tip, its maximum Mises-stresses appear at the relative wingspan of 0.55, and the contribution of rotating speed and average wind speed to the displacement or Mises-stress along the span-wise direction is similar.

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“…For the blade, the geometric nonlinear motion equation under the fluid-structure interaction is expressed as [13]:…”

Section: Theoretical Model In the Structural Domainmentioning

confidence: 99%

“…The constitutive equations and the relations between displacement and strain which the geometric nonlinear elastic body meets are respectively described as [13]:…”

Section: Theoretical Model In the Structural Domainmentioning

confidence: 99%

Influences of wind and rotating speed on the fluid-structure interaction vibration for the offshore wind turbine blade

Shi¹,

Wang²,

Zhang³

et al. 2019

J. vibroeng.

View full text Add to dashboard Cite

show abstract

“…For the discrete motion differential Eq. ( 10), the displacement, velocity and acceleration at + ∆ are calculated by Newmark method and Newton-Raphson iterative method [22].…”

Section: Nonlinear Dynamics Equation and Discrete Equation In Structu...mentioning

confidence: 99%

Analysis of dynamic stability for wind turbine blade under fluid-structure interaction

Zhang¹,

Chen²,

Zhou³

et al. 2016

J. vibroeng.

Self Cite

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Aiming at improving vibration performance of 1.5 MW wind turbine blades, the theoretical model and the calculation process of vibration problems under geometric nonlinearity and unidirectional fluid-structure interaction (UFSI) were presented. The dynamic stability analysis on a 1.5 MW wind turbine blade was carried out. Both the maximum brandish displacement and the maximum Mises stress increase nonlinearly with the increase of wind speed. The influences of turbulent effect, wind shear effect and their joint effect on displacement and stress increase sequentially. Furthermore, the stability critical curves are calculated and analyzed. As a result, the stability region is established where the wind turbine blade can run safely.

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“…Wang et al [2011] constructed an experimental platform with a magnetic control system and dealt with the vibration control of an axially moving iron cantilever beam using the noncontact magnetic force. Zhang et al [2013] numerically simulated the nonlinear dynamic responses of a cantilever conductive thin plate in complex magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Forced Vibration of Tip-Massed Cantilever With Nonlinear Magnetic Interactions

Zhang

Chen

2014

Int. J. Appl. Mechanics

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This paper predicts the nonlinear relative motion of a cantilever with a tip mass and magnets based on a distributed-parameter model. The Kelvin viscoelastic model is used to account for the damping in the cantilever. Under the harmonic base excitation, the governing equation is deduced via a coordinate transformation linked to its static equilibrium. To qualitatively validate those results captured from the approximate methods, the finite difference method and the multi-scale method are respectively employed to determine the natural frequency and the steady-state response of forced vibration. It is analytically demonstrated that those modes uninvolved in a certain resonance actually have no effect on the response amplitude of the stable steady-state motion. The effects of forcing amplitude, viscoelastic damping, and tip mass on the steady-state response are detailed via the amplitude–frequency response curves. For the first time, the current works theoretically illustrated the conversion from the hardening-type behavior to the softening-type versus the augmenting magnetic force, as well as the opposing effect of different tip masses on the first mode and the higher modes.

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Analysis of magnetoelastic interaction of cantilever conductive thin plate with nonlinear dynamic response

Cited by 12 publications

References 10 publications

Influences of wind and rotating speed on the fluid-structure interaction vibration for the offshore wind turbine blade

Influences of wind and rotating speed on the fluid-structure interaction vibration for the offshore wind turbine blade

Analysis of dynamic stability for wind turbine blade under fluid-structure interaction

Forced Vibration of Tip-Massed Cantilever With Nonlinear Magnetic Interactions

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