Instantaneous Identification of Polynomial Nonlinearity Based on Volterra Series Representation

Demarie, Giacomo Vincenzo; Ceravolo, Rosario; Stefano, Alessandro De

doi:10.4028/www.scientific.net/kem.293-294.703

Cited by 10 publications

(3 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…be the vector of parameters which describes the dynamic properties of the system and let us introduce an instantaneous objective function [11,12]: [13], at discrete time instant ∆ * n t and frequency ∆ m f , respectively measured and calculated by integrating Eq. 7, for a given configuration of parameters p. The number of frequency samples, M, to be considered in the objective function in Eq.…”

Section: Instantaneous Estimators Of Bouc-wen Parametersmentioning

confidence: 99%

Instantaneous Identification of Bouc-Wen-Type Hysteretic Systems from Seismic Response Data

Ceravolo

Demarie

Erlicher³

2007

KEM

Self Cite

View full text Add to dashboard Cite

Abstract. This paper presents a technique for identification of non-linear hysteretic systems subjected to non-stationary loading. In the numerical simulations, a Bouc-Wen model was chosen for its ability to represent the properties of a wide class of real hysteretic systems. The parameters of the model are computed instantaneously by approximating the internal restoring force surface through an "ad hoc" polynomial basis. Instantaneous estimates result from time-varying spectra of the response signals. A numerical application of interest to earthquake engineering is finally reported.

show abstract

Section: Instantaneous Estimators Of Bouc-wen Parametersmentioning

confidence: 99%

Instantaneous Identification of Bouc-Wen-Type Hysteretic Systems from Seismic Response Data

Ceravolo

Demarie

Erlicher³

2007

KEM

Self Cite

View full text Add to dashboard Cite

show abstract

“…Both original tows were thoroughly specified in their respective data sheets with regards to fiber number and diameter, density and Young modulus, but not for damping. The analysis of the three families of resonance profiles allows for the extraction of Young modulus, E, quality factor, Q, and the non-linear coefficient χ of all three fibers [21,22,23,24]. The first quantity is the most uncertain in the prototype apparatus, due to the uncertainty in actual number and diameter of the fibers and because of the difficulty to accurately calibrate the vertical displacement sensor.…”

Section: Resultsmentioning

confidence: 99%

A New Testing Machine for the Dynamic Characterization of High Strength Low Damping Fiber Materials

et al. 2016

View full text Add to dashboard Cite

This work describes a novel method for measuring the damping, the elastic modulus and the non-linear behavior of high strength low damping fiber materials such as para-aramids, silicon carbide (SiC) and carbon. The method is based on resonant response characterization of a spring-mass system excited by a sine-wave forcing term which is applied as a vertical force to the suspended mass. The damping is obtained from the measured resonance quality factor Q, the elasticity modulus is calculated from the resonance frequency, and the non-linear coefficient is obtained with the backbone approach from resonance profile variations as a function of the forcing term amplitude. It is argued that the method is very sensitive, to the point that a maximum excitation amplitude of the order of a few percent of resistance is sufficient to obtain an estimate of the non-linear coefficient. This claim is supported by experimental results. A testing machine is also discussed, which provides the necessary sensitivity at such small excitation amplitudes and the capability of evaluating very small damping values, as expected in high strength low damping fiber materials. The sensitivity is guaranteed by an optical position sensor with sub-micron resolution. To evaluate small damping values,

show abstract

“…be the vector of parameters which describes the dynamic properties of the system and let us introduce an instantaneous objective function [11,12]: If the time-dependent spectrum satisfies the time marginal property [13], then F ob gives the difference between the instantaneous energies of the experimental signals and those of the system output corresponding to a given configuration of the unknown parameters p: by resorting to classical optimisation procedures, it proves possible to determine instant by instant the minimum of ( ) * ob F n ,p , through which the vector of the instantaneous estimators p(t) of the dynamic properties can be defined.…”

Section: Instantaneous Estimators Of Bouc-wen Parametersmentioning

confidence: 99%

Instantaneous Identification of Bouc-Wen-Type Hysteretic Systems from Seismic Response Data

Ceravolo¹,

Demarie²,

Erlicher³

2007

Damage Assessment of Structures VII

Self Cite

View full text Add to dashboard Cite

This paper presents a technique for identification of non-linear hysteretic systems subjected to non-stationary loading. In the numerical simulations, a Bouc-Wen model was chosen for its ability to represent the properties of a wide class of real hysteretic systems. The parameters of the model are computed instantaneously by approximating the internal restoring force surface through an "ad hoc" polynomial basis. Instantaneous estimates result from time-varying spectra of the response signals. A numerical application of interest to earthquake engineering is finally reported.

show abstract

Instantaneous Identification of Polynomial Nonlinearity Based on Volterra Series Representation

Cited by 10 publications

References 7 publications

Instantaneous Identification of Bouc-Wen-Type Hysteretic Systems from Seismic Response Data

Instantaneous Identification of Bouc-Wen-Type Hysteretic Systems from Seismic Response Data

A New Testing Machine for the Dynamic Characterization of High Strength Low Damping Fiber Materials

Instantaneous Identification of Bouc-Wen-Type Hysteretic Systems from Seismic Response Data

Contact Info

Product

Resources

About