Online Frequency Estimation on a Building-like Structure Using a Nonlinear Flexible Dynamic Vibration Absorber

Beltrán-Carbajal, Francisco; Abundis-Fong, H. F.; Trujillo-Franco, L. G.; Yañez-Badillo, Hugo; Favela‐Contreras, Antonio; Campos‐Mercado, Eduardo

doi:10.3390/math10050708

Cited by 7 publications

(3 citation statements)

References 33 publications

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“…These relevant features are commonly based on time-domain, wavelet and statistical analysis, with several IMU sensors installed in the body [22]. The frequency spectral of accelerometers has helped researchers predict vibrations in building structures [23] or turbines [24] and recognize the running path of dogs [25]. In addition, selection techniques to identify the most relevant features in datasets are needed to simplify the learned models and decrease the computational complexity and improve the model's efficiency for recognition tasks.…”

Section: Introductionmentioning

confidence: 99%

Analysis and Recognition of Human Gait Activity Based on Multimodal Sensors

2023

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Remote health monitoring plays a significant role in research areas related to medicine, neurology, rehabilitation, and robotic systems. These applications include Human Activity Recognition (HAR) using wearable sensors, signal processing, mathematical methods, and machine learning to improve the accuracy of remote health monitoring systems. To improve the detection and accuracy of human activity recognition, we create a novel method to reduce the complexities of extracting features using the HuGaDB dataset. Our model extracts power spectra; due to the high dimensionality of features, sliding windows techniques are used to determine frequency bandwidth automatically, where an improved QRS algorithm selects the first dominant spectrum amplitude. In addition, the bandwidth algorithm has been used to reduce the dimensionality of data, remove redundant dimensions, and improve feature extraction. In this work, we have considered widely used machine learning classifiers. Our proposed method was evaluated using the accelerometer angles spectrum installed in six parts of the body and then reducing the bandwidth to know the evolution. Our approach attains an accuracy rate of 95.1% in the HuGaDB dataset with 70% of bandwidth, outperforming others in the human activity recognition accuracy.

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Section: Introductionmentioning

confidence: 99%

Analysis and Recognition of Human Gait Activity Based on Multimodal Sensors

2023

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“…In recent decades, various studies have investigated the nonlinear vibration and absorption, insulation, and propagation of sound (e.g., [1][2][3][4][5][6][7][8][9][10][11][12][13][14]). However, most of these works have focused on only a single research area (e.g., nonlinear vibration or acoustics).…”

Section: Introductionmentioning

confidence: 99%

Chaotic Vibration and Perforation Effects on the Sound Absorption of a Nonlinear Curved Panel Absorber

Lee

2023

Mathematics

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This study is the first to investigate the effect of chaotic vibration on the sound absorption of a curved perforated panel. Previous studies on the effect of nonlinear vibration on the sound absorption of a panel absorber have focused on periodic responses only. In this study, a sound absorption formula was derived by considering the panel impedance and perforation impedance. The numerical integration method was adopted to generate various chaotic vibrational responses, which were used to compute the corresponding sound absorptions. Several interesting findings that have never been observed in any previous studies on acoustic absorption were derived. First, in the chaotic and highly nonlinear cases, as the excitation frequency increased, the corresponding response frequencies decreased. This was opposite to the typical trend in linear cases, in which higher excitation frequencies corresponded to higher response frequencies. Second, in chaotic cases, absorption mainly occurred due to panel vibration effects. This is also in stark contrast to the findings of studies on perforated vibrating panels, in which the absorption effect mainly originates from perforations. Additionally, the absorption bandwidths are much wider and can shift to higher frequencies; however, the peak absorption coefficients were approximately 20% lower than in the case of the perforation effect only. Third, in the quasi-chaotic case, the absorption curve in the case of the perforation effect plus the vibration effect was between the absorption curves of the perforation effect only and the perforation effect plus the vibration effect.

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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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Online Frequency Estimation on a Building-like Structure Using a Nonlinear Flexible Dynamic Vibration Absorber

Cited by 7 publications

References 33 publications

Analysis and Recognition of Human Gait Activity Based on Multimodal Sensors

Analysis and Recognition of Human Gait Activity Based on Multimodal Sensors

Chaotic Vibration and Perforation Effects on the Sound Absorption of a Nonlinear Curved Panel Absorber

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

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