Some remarks on nonlinear vibrations of ideal and nonideal slewing flexible structures

Fenili, André; Balthazar, José Manoel

doi:10.1016/j.jsv.2004.04.014

Cited by 12 publications

(3 citation statements)

References 6 publications

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“…In this work large angular displacements and small transversal displacements of the beam are considered as showed in Fenili and Balthazar (2004). The governing equations of motion are obtained using the extended Hamilton's principle, an energy method described by Gantmacher (1975) and Meirovitch (1967).…”

Section: Introductionmentioning

confidence: 99%

Motion and vibration control of a slewing flexible structure by SMA actuators and parameter sensitivity analysis

Janzen

Tusset

Piccirillo

et al. 2015

Eur. Phys. J. Spec. Top.

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This work presents two approaches to the problem of vibration and positioning control of a flexible structural beam driven by a DC motor. The position is controlled by the current applied to the DC motor armature. A Shape Memory Alloy (SMA) actuator controls vibrations of the flexible structural beam. The State Dependent Riccati Equation (SDRE) technique is used to provide a control action which uses sub-optimal control and system local stability search. The robustness of these two controllers is tested by sensitivity analysis to parametric uncertainties. Numerical simulations results are presented to demonstrate the effectiveness of the proposed control strategy.

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Section: Introductionmentioning

confidence: 99%

Motion and vibration control of a slewing flexible structure by SMA actuators and parameter sensitivity analysis

Janzen

Tusset

Piccirillo

et al. 2015

Eur. Phys. J. Spec. Top.

View full text Add to dashboard Cite

show abstract

“…The authors showed transitions through the resonances for a reduced order discrete system. This topic was also investigated and continued afterwards by Fenili and Balthazar [9,10]. Authors considered the non-ideal system's power supply where the response of the excited beam affected the behaviour of the energy source.…”

Section: Introductionmentioning

confidence: 99%

Equations of motion of rotating composite beam with a nonconstant rotation speed and an arbitrary preset angle

2014

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In the presented paper the equations of motion of a rotating composite Timoshenko beam are derived by utilising the Hamilton principle. The nonclassical effects like material anisotropy, transverse shear and both primary and secondary cross-section warpings are taken into account in the analysis. As an extension of the other papers known to the authors a nonconstant rotating speed and an arbitrary beam's preset (pitch) angle are considered. It is shown that the resulting general equations of motion are coupled together and form a nonlinear system of PDEs. Two cases of an open and closed box-beam cross-section made of symmetric laminate are analysed in details. It is shown that considering different pitch angles there is a strong effect in coupling of flapwise bending with chordwise bending motions due to a centrifugal force. Moreover, a consequence of terms related to nonconstant rotating speed is presented. Therefore it is shown that both the variable rotating speed and nonzero pitch angle have significant impact on systems dynamics and need to be considered in modelling of rotating beams.

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“…We mention that for more details on nonideal systems theory is well described in [1][2][3][4][5][6][7][8][9][10], without undeserved others.…”

Section: Introductionmentioning

confidence: 99%

On energy pumping, synchronization and beat phenomenon in a nonideal structure coupled to an essentially nonlinear oscillator

2008

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In this paper, we dealt with energy pumping, synchronization, and beat phenomenon in transients and steady-state vibrations (in a non-ideal structure (NIS)) having an attachment, coupled to an oscillator containing essential nonlinearities (or nonlinear energy sink (NES)). We investigated the effectiveness of the (NES) in vibration attenuation to a nonideal structure by using numerical simulations.

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Some remarks on nonlinear vibrations of ideal and nonideal slewing flexible structures

Cited by 12 publications

References 6 publications

Motion and vibration control of a slewing flexible structure by SMA actuators and parameter sensitivity analysis

Motion and vibration control of a slewing flexible structure by SMA actuators and parameter sensitivity analysis

Equations of motion of rotating composite beam with a nonconstant rotation speed and an arbitrary preset angle

On energy pumping, synchronization and beat phenomenon in a nonideal structure coupled to an essentially nonlinear oscillator

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