Evaluation of Autoparametric Vibration Absorbers on N-Story Building-Like Structures

Silva-Navarro, G.; Abundis-Fong, H. F.

doi:10.1007/978-3-319-54404-5_19

Cited by 2 publications

(2 citation statements)

References 6 publications

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“…On the other hand, configuration (c) corresponds to an autoparametric system, where the dynamic model is represented by a system of nonlinear differential equations that cannot be linearized due to the decoupling between the degree of freedom of the primary system and the dynamics of the absorber to be implemented [22,23]. This kind of configuration is not considered in the present work due to it having been widely studied in the nonlinear-vibrations literature, addressing passive and active control aspects for different hosting structures [24][25][26][27][28][29][30][31][32][33][34][35][36][37].…”

Section: Other Possible Configurations Of Flexible Vibration Absorbermentioning

confidence: 99%

Oscillation Attenuation in a Building-like Structure by Using a Flexible Vibration Absorber

et al. 2022

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This is a theoretical, numerical, and experimental study on the vibration attenuation capability of the dynamic response of a building-like structure using a dynamic vibration absorber in cantilever flexible beam configuration, taking into account gravitational effects associated with its mass. The dynamic model of the primary vibrating structure with the passive vibration control device is obtained using the Euler–Lagrange formulation considering the flexible vibration absorber as a generalized system of one degree of freedom. The application of the Hilbert transform to the frequency response function to determine the tuning conditions between this nonlinear flexible beam vibration absorber and the primary system is also proposed. In this fashion, Hilbert transform analysis is then carried out to show that nonlinearities present in the dynamic model do not significantly contribute to the performance of the implemented absorber. Therefore, it is valid to linearize the equations of motion to obtain the tuning condition in which the flexible vibration absorber can attenuate undesirable harmonic vibrations that are disturbing to the building-like flexible structure. Thus, the present study shows that the Hilbert transform can be applied to obtain tuning conditions for other configurations of dynamic vibration absorbers in nonlinear vibrating systems. Simulation and experimental results are included to demonstrate the efficient performance of the presented vibration absorption scheme.

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Section: Other Possible Configurations Of Flexible Vibration Absorbermentioning

confidence: 99%

Oscillation Attenuation in a Building-like Structure by Using a Flexible Vibration Absorber

et al. 2022

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“…In this work, the primary or main system is composed of a flexible structure which simulates a building-like structure with n degrees of freedom as depicted in Figure 2. Dynamical system behavior can be described by [27] Mẍ…”

Section: A Flexible Structure With N Degrees Of Freedommentioning

confidence: 99%

On-Line Modal Parameter Identification Applied to Linear and Nonlinear Vibration Absorbers

et al. 2020

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A solution of the vibration attention problem on a flexible structure from a dynamic vibration absorption perspective is experimentally and numerically studied in this article. Linear and nonlinear dynamic vibration absorbers are properly implemented on a primary structure of n degrees of freedom through a modal decomposition analysis and using the tuning condition when the primary system has one single degree of freedom. A time-domain algebraic identification scheme for on-line modal parameter estimation of flexible structures is presented. A fast frequency estimation of harmonic excitation force is also obtained. A Hilbert transform analysis of the frequency response function for the case of nonlinear dynamic vibration absorption is introduced. In this way, influence of this particular passive nonlinear control device on system dynamic response can be determined. The proposed approach is validated on an harmonically perturbed building-like structure, which is discretized in a finite number of degrees of freedom. The flexible structure is subjected to resonant operational conditions, and coupled to a pendulum vibration absorber configured as a tuned mass damper as well as an autoparametric system.

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Evaluation of Autoparametric Vibration Absorbers on N-Story Building-Like Structures

Cited by 2 publications

References 6 publications

Oscillation Attenuation in a Building-like Structure by Using a Flexible Vibration Absorber

Oscillation Attenuation in a Building-like Structure by Using a Flexible Vibration Absorber

On-Line Modal Parameter Identification Applied to Linear and Nonlinear Vibration Absorbers

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