Abstract
The online frequency estimation of forced harmonic vibrations on a building-like structure, using a nonlinear flexible vibration absorber in a cantilever beam configuration, is addressed in this article. Algebraic formulae to compute online the harmonic excitation frequency on the nonlinear vibrating mechanical system using solely available measurement signals of position, velocity, or acceleration are presented. Fast algebraic frequency estimation can, thus, be implemented to tune online a semi-active dynamic vibration absorber to obtain a high attenuation level of undesirable vibrations affecting the main mechanical system. A semi-active vibration absorber can be tuned for application where variations of the excitation frequency can be expected. Adaptive vibration absorption for forced harmonic vibration suppression for operational scenarios with variable excitation frequency can be then performed. Analytical, numerical, and experimental results to demonstrate the effectiveness and efficiency of the operating frequency estimation, as well as the acceptable attenuation level achieved by the tunable flexible vibration absorber, are presented. The algebraic parametric estimation approach can be extended to add capabilities of variable frequency vibration suppression for several configurations of dynamic vibration absorbers.
Highlights
Dynamic vibration absorbers are vibration control devices that have been implemented in many engineering systems, such as internal combustion engines, milling machines, compressors, washing machines, Jeffcott rotors, beams, offshore wind turbines, helicopter rotors, and rear wheel drive vehicles [1,2]
Real-time frequency estimation can be advantageously employed to tune semi-active dynamic vibration absorption devices for a wide variety of harmful variable-frequency forced vibration suppression applications, which will be developed in future experimental research works
The formulae admitted a wide variety of applications in variable frequency harmonic vibration suppression techniques based on adaptive semi-active dynamic vibration absorbers
Summary
Dynamic vibration absorbers are vibration control devices that have been implemented in many engineering systems, such as internal combustion engines, milling machines, compressors, washing machines, Jeffcott rotors, beams, offshore wind turbines, helicopter rotors, and rear wheel drive vehicles [1,2]. The presented non-asymptotic online harmonic vibration frequency estimation approach for a building-like structure using a nonlinear flexible vibration absorber in a cantilever beam configuration is based on the algebraic framework for linear parametrical identification for continuous-time constant linear systems introduced in [29]. The capability of algebraically computing the system parameters almost instantaneously, in the time domain, is another important difference, with respect to other offline or asymptotic parametric identification techniques reported on in the literature, as those described above These outstanding features of the algebraic identification scheme have motivated the synthesis of closed-form formulae to compute the vibrating excitation frequency, which could be used in several applications of semi-active dynamic vibration absorption devices.
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