The online frequency estimation of forced harmonic vibrations on a building-like structure, using nonlinear flexible vibration absorber in cantilever beam configuration, is addressed this article. Algebraic formulae to compute the excitation vibrating mechanical system solely available measurement signals position, velocity, or acceleration are presented. Fast algebraic can, thus, be implemente...

In a single-degree-of-freedom weakly nonlinear oscillator subjected to periodic external excitation, a small-amplitude excitation may produce a relatively large-amplitude response under primary resonance conditions. Jump and hysteresis phenomena that result from saddle-node bifurcations may occur in the steady-state response of the forced nonlinear oscillator. A simple mass-spring-damper vibrat...

This paper deals with the control of vibrations an automatic cutting machine a cartesian kinematic chain. A particular application method structural modifications is considered, since small number frequency response function available. The Sherman-Morrison formula used to predict effect tuned vibration absorber (TVA) on generated by tool; advantages and limits this are discussed. In order impro...

Because the underlying physiology of pathological tremor in a Parkinson's patient is not well understood, the existing physical and drug therapies have not been successful in tremor treatment. Different mathematical modeling of such vibration has been introduced to investigate the problem and reduce the existing vibration. Most of the models have represented the induced vibration as a sinusoida...

This paper investigates the use of order-tuned absorbers to attenuate vibrations of flexible blades in a bladed disk assembly subjected to engine order excitation. The blades are modeled by a cyclic chain of N oscillators, and a single vibration absorber is fitted to each blade. These absorbers exploit the centrifugal field arising from rotation so that they are tuned to a given order of rotati...

This paper studies the potential of a periodic grid of vibration absorbers to achieve global plate vibration reduction. The global plate vibration reduction is pursued by applying the principles of resonance based stop bands. This principle is investigated both by infinite structure theory and by an example of a finite plate with a periodic grid of tuned resonators. Specific attention is paid t...

This paper presents the stability and bifurcation analysis of a nonlinear thermoacoustic model consisting of a combustion chamber coupled to a Helmholtz damper. Only the acoustic mode in the cavity of the combustion chamber to which the Helmholtz damper is tuned is considered. The Helmholtz damper includes a non-smooth damping term and can be seen as a tuned vibration absorber with a coupling o...