Online Estimation Techniques for Natural and Excitation Frequencies on MDOF Vibrating Mechanical Systems

Silva-Navarro, G.; Beltrán-Carbajal, Francisco; Trujillo-Franco, L. G.; Peza-Solís, J. F.; Garcia-Perez, Oscar A.

doi:10.3390/act10030041

Cited by 3 publications

(2 citation statements)

References 30 publications

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“…Optimization of parameters of tuned mass dampers to reduce dangerous vibrations on steel structures due to dynamic loads has been addressed in [29]. Estimation of oscillatory excitation forces and frequencies from measured output signals can be used for developing new detection methodologies of possible structural damage as well as for implementation of diverse vibration attenuation mechanisms on flexible mechanical structures [30,31]. The optimal configuration of buckling-restrained braces on high-rise structures under seismic excitation has been investigated in [32].…”

Section: Introductionmentioning

confidence: 99%

Multiple-Frequency Force Estimation of Controlled Vibrating Systems with Generalized Nonlinear Stiffness

Beltran-Carbajal,

Esquivel-Cruz,

Yañez-Badillo

et al. 2023

Mathematics

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An on-line estimation technique of multiple-frequency oscillatory forces combined with the Hilbert–Huang transform for an important class of actively controlled, forced vibrating mechanical systems with nonlinear stiffness forces is proposed. Polynomial parametric nonlinearities are incorporated in the significantly perturbed vibrating system dynamics. This class of nonlinear vibrating systems can exhibit harmful large-amplitude vibrations, which are inadmissible in many engineering applications. Disturbing oscillations can be also provoked due to interactions of the primary mechanical system to be actively protected against dangerous vibrations with other forced uncertain multidegree-of-freedom nonlinear vibrating systems. Taylor’s series expansion to dynamically model uncertain vibrating forces into a small time window for real-time estimation purposes is employed. Intrinsic mode functions of multiple-frequency vibrating forces can be then obtained by the Hilbert-Huang transform. Uncertain instantaneous frequencies and amplitudes of disturbing oscillations can be directly computed in temporal space. An active vibration control scheme for efficient and robust tracking of prescribed motion reference profiles based on multiple frequency force estimation is introduced as well. The presented closed-loop on-line estimation technique can be extended for other classes of nonlinear oscillatory systems. Analytical, experimental and numerical results to prove the estimation effectiveness are presented. Numerical results show reasonable estimation errors of less than 2%.

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Section: Introductionmentioning

confidence: 99%

Multiple-Frequency Force Estimation of Controlled Vibrating Systems with Generalized Nonlinear Stiffness

Beltran-Carbajal,

Esquivel-Cruz,

Yañez-Badillo

et al. 2023

Mathematics

Self Cite

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show abstract

“…An advantage of algebraic identification over other methods is that it provides identification expressions that are completely independent of the initial system conditions. Algebraic identification has been used for parameter and signal estimation in linear and non-linear vibrational mechanical systems [30][31][32][33][34][35][36][37][38][39]. Numerical and experimental results show that algebraic identification is extremely robust against parameter uncertainty, frequency variations, measurement errors and signal noise.…”

Section: Introductionmentioning

confidence: 99%

An Algebraic Approach for Identification of Rotordynamic Parameters in Bearings with Linearized Force Coefficients

et al. 2021

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In this work, a novel methodology for the identification of stiffness and damping rotordynamic coefficients in a rotor-bearing system is proposed. The mathematical model for the identification process is based on the algebraic identification technique applied to a finite element (FE) model of a rotor-bearing system with multiple degree-of-freedom (DOF). This model considers the effects of rotational inertia, gyroscopic moments, shear deformations, external damping and linear forces attributable to stiffness and damping parameters of the supports. The proposed identifier only requires the system’s vibration response as input data. The performance of the proposed identifier is evaluated and analyzed for both schemes, constant and variable rotational speed of the rotor-bearing system, and numerical results are obtained. In the presented results, it can be observed that the proposed identifier accurately determines the stiffness and damping parameters of the bearings in less than 0.06 s. Moreover, the identification procedure rapidly converges to the estimated values in both tested conditions, constant and variable rotational speed.

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Frequency Response Based Extremum Seeking Control of a Single-link Flexible Robot

Flores

Cervantes-Culebro

Cruz-Villar

2023

Int. J. Control Autom. Syst.

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Online Estimation Techniques for Natural and Excitation Frequencies on MDOF Vibrating Mechanical Systems

Cited by 3 publications

References 30 publications

Multiple-Frequency Force Estimation of Controlled Vibrating Systems with Generalized Nonlinear Stiffness

Multiple-Frequency Force Estimation of Controlled Vibrating Systems with Generalized Nonlinear Stiffness

An Algebraic Approach for Identification of Rotordynamic Parameters in Bearings with Linearized Force Coefficients

Frequency Response Based Extremum Seeking Control of a Single-link Flexible Robot

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