Stability study and control of helicopter blade flapping vibrations

Sayed, M.; Kamel, M.

doi:10.1016/j.apm.2010.12.002

Cited by 33 publications

(16 citation statements)

References 17 publications

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“…Eissa and Sayed [14][15][16] and Sayed [17] investigated the effects of different active controllers on simple and spring pendulum at the primary resonance via negative velocity feedback or its square or cubic. Sayed and Kamel [18,19] investigated the effects of different controllers on the vibrating system and the saturation control to reduce vibrations due to rotor blade flapping motion. The stability of the system is investigated using both phase-plane method and frequency response curves.…”

Section: Introductionmentioning

confidence: 99%

Vibration, Stability, and Resonance of Angle-Ply Composite Laminated Rectangular Thin Plate under Multiexcitations

Sayed

Mousa

2013

Mathematical Problems in Engineering

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An analytical investigation of the nonlinear vibration of a symmetric cross-ply composite laminated piezoelectric rectangular plate under parametric and external excitations is presented. The method of multiple time scale perturbation is applied to solve the nonlinear differential equations describing the system up to and including the second-order approximation. All possible resonance cases are extracted at this approximation order. The case of 1 : 1 : 3 primary and internal resonance, whereΩ3≅ω1,ω2≅ω1, andω3≅3ω1, is considered. The stability of the system is investigated using both phase-plane method and frequency response curves. The influences of the cubic terms on nonlinear dynamic characteristics of the composite laminated piezoelectric rectangular plate are studied. The analytical results given by the method of multiple time scale is verified by comparison with results from numerical integration of the modal equations. Reliability of the obtained results is verified by comparison between the finite difference method (FDM) and Runge-Kutta method (RKM). It is quite clear that some of the simultaneous resonance cases are undesirable in the design of such system. Such cases should be avoided as working conditions for the system. Variation of the parametersμ1,μ2,α7,β8,ω1,ω2,f1,f2leads to multivalued amplitudes and hence to jump phenomena. Some recommendations regarding the different parameters of the system are reported. Comparison with the available published work is reported.

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Section: Introductionmentioning

confidence: 99%

Vibration, Stability, and Resonance of Angle-Ply Composite Laminated Rectangular Thin Plate under Multiexcitations

Sayed

Mousa

2013

Mathematical Problems in Engineering

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“…Together to on-line identification of this kind of systems [22,23,24,25], one of the recurrent topics that has been explored in this environment is the frequency response and its use in control [26,27]. Indeed, frequency-response issues are still a current matter of interest in control [28,29] and estimation problems [25].…”

Section: Motivationmentioning

confidence: 99%

A new algorithm for dual-rate systems frequency response computation in discrete control systems

Salt

Sala

2014

Applied Mathematical Modelling

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ElsevierSalt Llobregat, JJ.; Sala Piqueras, A. (2014) AbstractThis paper addresses an easy computation of the multiple components of the response to a sinusoidal input of a dual-rate linear time-invariant discrete system from the Bode diagram of LTI systems arising from a lifted representation. Based on those results, a generalized Bode diagram is suggested. Some new conclusions derived from this conceptual interpretation are introduced. This diagram provides a better insight in the frequency-response issues in multivariable control than the standard Singular Value Decomposition of the lifted model. As an application, the output ripple suppression in a multirate control scheme is presented.

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“…Saved et al [4] studied the response to harmonic excitations for a two degrees of freedom, autoparametric system and controlled. The authors analysed the impact of a linear absorber on the vibrating system as well as the saturation control of a linear absorber to diminish vibrations because of rotor blade flap displacement.…”

Section: Introductionmentioning

confidence: 99%

Helicopter flap/lag energy exchange study

Castillo-Rivera

Tomás-Rodrı́guez

2017

Nonlinear Dyn

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This is the accepted version of the paper.This version of the publication may differ from the final published version. Abstract This paper presents a study on the energy exchange taking place on articulated helicopter main rotor blades. The blades are hinged and the flap/lag modes are highly coupled. These dynamical couplings existing between the two degrees of freedom are clearly identifiable as the nonlinear terms that appear in the equations of motion, are key to understand the energy exchange process. The work here conducted is carried out using VehicleSim, a multibody software specialized in modelling mechanical systems composed by rigid bodies. A spring pendulum system is also studied in order to examine its nonlinear behaviour, and to establish existing analogies with the rotor blade nonlinear dynamics. The nonlinear couplings of both systems are compared to each other, and commensurability condition is analysed by means of Short Time Fourier Transform (STFT) methods as well as the flap and lag amplitudes spectrum. Simulations are carried out and the obtained results show clear analogies in the energy exchange process taking place in both systems. The stability of these modes is also studied using Poincare' map method. Permanent repository link

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Stability study and control of helicopter blade flapping vibrations

Cited by 33 publications

References 17 publications

Vibration, Stability, and Resonance of Angle-Ply Composite Laminated Rectangular Thin Plate under Multiexcitations

Vibration, Stability, and Resonance of Angle-Ply Composite Laminated Rectangular Thin Plate under Multiexcitations

A new algorithm for dual-rate systems frequency response computation in discrete control systems

Helicopter flap/lag energy exchange study

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