Stability analysis of a nonlinear rotating blade with torsional vibrations

Wang, Fengxia; Zhang, Wei

doi:10.1016/j.jsv.2012.05.024

Cited by 40 publications

(13 citation statements)

References 29 publications

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“…First-order matrix differential equation (67) can be solved using fourth-order Runge-Kutta method [21][22]. The solution gives the time response for 1 to modes in modal (generalized) coordinate.…”

Section: Validation Results and Discussionmentioning

confidence: 99%

Dynamic instability of rotating doubly-tapered laminated composite beams under periodic rotational speeds

Seraj

Ganesan

2018

Composite Structures

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Dynamic instability analysis of doubly-tapered cantilever composite beams rotating with periodic rotational velocity is conducted in the present work for out-of-plane bending (flap), inplane bending (lag) and axial vibrations. Rayleigh-Ritz method and classical lamination theory are used along with an energy formulation. Bolotin's method is applied to obtain the instability regions. To verify the dynamic instability analysis results, time responses are investigated at different locations of the instability region by using the Runge-Kutta method. A comprehensive parametric study is conducted in order to understand the effects of taper configurations and various system parameters including mean rotational velocity, hub radius, double-tapering angles and stacking sequences, on the dynamic instability characteristics of the composite beam. The composite material considered in the present work in numerical results is NCT-301 graphiteepoxy prepreg.

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Section: Validation Results and Discussionmentioning

confidence: 99%

Dynamic instability of rotating doubly-tapered laminated composite beams under periodic rotational speeds

Seraj

Ganesan

2018

Composite Structures

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“…Avramov et al [25] investigated the flexural-flexural-torsional nonlinear vibrations of the rotating beam. Wang and Zhang [26] considered the geometric nonlinear model to study the stability and bifurcations of the rotating blade. Arvin et al [27] applied the flapping nonlinear normal modes to analyze 2:1 internal resonances.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Vibrations of Rotating Pretwisted Composite Blade Reinforced by Functionally Graded Graphene Platelets Under Combined Aerodynamic Load and Air Flow in Tip Clearance

Zhang

2021

Preprint

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The primary resonance and nonlinear vibrations of the functionally graded graphene platelet (FGGP) reinforced rotating pretwisted composite blade under combined the external and multiple parametric excitations are investigated with three different distribution patterns. The FGGP reinforced rotating pretwisted composite blade is simplified to the rotating pretwisted composite cantilever plate reinforced by the functionally graded graphene platelet. It is novel to simplify the leakage of the air flow in the tip clearance to the non-uniform axial excitation. The rotating speed of the steady-state adding a small periodic perturbation is considered. The aerodynamic load subjecting to the surface of the plate is simulated as the transverse excitation. Utilizing the first-order shear deformation theory, von-Karman nonlinear geometric relationship, Lagrange equation and mode functions satisfying the boundary conditions, three-degree-of-freedom nonlinear ordinary differential equations of motion are derived for the FGGP reinforced rotating pretwisted composite cantilever plate under combined the external and multiple parametric excitations. The primary resonance and nonlinear dynamic behaviors of the FGGP reinforced rotating pretwisted composite cantilever plate are analyzed by Runge-Kutta method. The amplitude-frequency response curves，force-frequency response curves, bifurcation diagrams, maximum Lyapunov exponent, phase portraits, waveforms and Poincare map are obtained to investigate the nonlinear dynamic responses of the FGGP reinforced rotating pretwisted composite cantilever plate under combined the external and multiple parametric excitations.

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“…In operating conditions, the deformation and vibration of subcomponents are constantly encountered and grouped. Many studies have analyzed the dynamic couplings among the shaft, disk and blades of a linear system [1][2][3][4][5][6]. Moreover, some studies [7][8][9][10] have adopted pre-twisted, thin-walled rotating blades to analyze their nonlinear vibration characteristics under different excitation condition.…”

Section: Introductionmentioning

confidence: 99%

Computation and investigation of mode characteristics in nonlinear system with tuned/mistuned contact interface

She

Tang

et al. 2019

Front. Mech. Eng.

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This study derived a novel computation algorithm for a mechanical system with multiple friction contact interfaces that is well-suited to the investigation of nonlinear mode characteristic of a coupling system. The procedure uses the incremental harmonic balance method to obtain the nonlinear parameters of the contact interface. Thereafter, the computed nonlinear parameters are applied to rebuild the matrices of the coupling system, which can be easily solved to calculate the nonlinear mode characteristics by standard iterative solvers. Lastly, the derived method is applied to a cycle symmetry system, which represents a shaft-disk-blade system subjected to dry friction. Moreover, this study analyzed the effects of the tuned and mistuned contact features on the nonlinear mode characteristics. Numerical results prove that the proposed method is particularly suitable for the study of nonlinear characteristics in such nonlinear systems.

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Stability analysis of a nonlinear rotating blade with torsional vibrations

Cited by 40 publications

References 29 publications

Dynamic instability of rotating doubly-tapered laminated composite beams under periodic rotational speeds

Dynamic instability of rotating doubly-tapered laminated composite beams under periodic rotational speeds

Nonlinear Vibrations of Rotating Pretwisted Composite Blade Reinforced by Functionally Graded Graphene Platelets Under Combined Aerodynamic Load and Air Flow in Tip Clearance

Computation and investigation of mode characteristics in nonlinear system with tuned/mistuned contact interface

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