El-Sayed, A. T.Bauomy, H. S.2019-12-232019-12-232014Cited References in Web of Science Core Collection: 230025-6455https://doi.org/10.1007/s11012-013-9813-9https://cutt.ly/DreK5BVAccession Number: WOS:000333078800006In this study, the controller is used to suppress the vibration due to rotor the helicopter blade flapping motion. The objective of this paper is to investigate the effect of time-delay absorber on the vibrating system when subjected to multi-parametric excitation forces. The equations of motion are described by coupled nonlinear differential equations. The averaging method is applied to obtain the frequency response equations near simultaneous sub-harmonic and internal resonance. The stability of the obtained nonlinear solution is studied and solved numerically. Numerical simulations show the steady state response amplitude versus the detuning parameter and the effects of the parameters system and controller. Effectiveness of the absorber E-a is about 2.7x10(5) of the main system (X).enUniversity for Averaging techniqueTime-delay absorberMulti-parametric excitationsStabilityMultiple-valued solutionsJump phenomenonArticlehttps://doi.org/10.1007/s11012-013-9813-9