Last edited by Moogulkree

Wednesday, July 15, 2020 | History

2 edition of **generalized frequency response for nonlinear systems** found in the catalog.

generalized frequency response for nonlinear systems

Banks, Stephen P.

- 123 Want to read
- 7 Currently reading

Published
**1987**
by University of Sheffield, Dept. of Control Engineering in Sheffield
.

Written in English

**Edition Notes**

Statement | by S.P. Banks and B. Chanane. |

Series | Research report / University of Sheffield. Department of Control Engineering -- no.310, Research report (University of Sheffield. Department of Control Engineering) -- no.310. |

Contributions | Chanane, B. |

ID Numbers | |
---|---|

Open Library | OL13960882M |

This thesis presents two novel nonlinear modal analysis methods, aimed at the identification of representative engineering structures. The overall objective is to detect, localize, identify and quantify the nonlinearities in large systems, based on nonlinear frequency response functions (FRFs) as input data. The methods are first introduced. This book is a systematic summary of some new advances in the 1 Introduction.- 2 The Generalized Frequency Response Functions and Output Spectrum of Nonlinear Systems.- 3 Output Frequency Characteristics of Nonlinear Systems.- 4 Parametric Characteristic Analysis (PCA).- 5 The Parametric Characteristics of the GRFRs and the Parametric.

Get this from a library! Frequency domain analysis and design of nonlinear systems based on Volterra series expansion: a parametric characteristic approach. [Xingjian Jing; Zi-Qiang Lang] -- This book is a systematic summary of some new advances in the area of nonlinear analysis and design in the frequency domain, focusing on the application oriented theory and methods . The first class of FVM is the Volterra transfer function (VTF) which has been recognized as a useful tool for nonlinear systems modeling and simulation. The second class of FVM is the Volterra dynamic model (VDM) which has been used in the modular assembly and condensation of port-based nonlinear models.

Nonlinear effects may significantly modify the shape of the resonance curves of harmonic of all, the resonance frequency is shifted from its "natural" value according to the formula = +, where is the oscillation amplitude and is a constant defined by the anharmonic coefficients. Second, the shape of the resonance curve is distorted (foldover effect). 3. If you put the data into matlab and do an FFT, you will get the frequency content in the data. There will be a big spike at the first natural frequency from the modal analysis, or near to there for the nonlinear case. That is not Frequency Response Function, which is a ratio of input to output. 4.

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Swain AK, Billings SA () Generalized frequency response function matrix for MIMO nonlinear systems. Int J Control 74(8)– CrossRef zbMATH MathSciNet Google Scholar Wang J, Sano A, Chen T, Huang B () Identification of Hammerstein systems without explicit parameterization of : Xingjian Jing, Ziqiang Lang.

Although there are some studies involving generalized frequency response analysis of nonlinear systems in the literature [16, 17], the approach discussed in this paper is. Frequency response is the quantitative measure of the output spectrum of a system or device in response to a stimulus, and is used to characterize the dynamics of the system.

It is a measure of magnitude and phase of the output as a function of frequency, in comparison to the simplest terms, if a sine wave is injected into a system at a given frequency, a linear system.

a new input—output representation for a nonlinear analytic system. In section 4 we shall define the generalized frequency response of a nonlinear system and in section 5 the realization of frequency response maps s: L -+2 will be discussed. The direct extension of the FRF concept to the nonlinear case is known as the Generalized Frequency Response Functions (GFRFs) (George, ), which were proposed under the assumption that the output of the nonlinear systems under study can be described by a convergent Volterra series (Boyd & Chua, ).Cited by: 8.

In this paper, frequency domain representations for nonlinear systems are uniquely connected. Specifically, by means of novel analytical results, the generalized frequency response function (GFRF) and the higher order sinusoidal input describing function (HOSIDF) for polynomial Wiener-Hammerstein systems are explicitly related.

Algorithms for computing the frequency range produced by arbitrary order nonlinear outputs are also described as an extension to the well known concept in linear systems that the frequency range of the system output is the same as that of the corresponding input. Jing XJ, Lang ZQ, Billings SA (b) Magnitude bounds of generalized frequency response functions for nonlinear Volterra systems described by NARX model.

Automatica – CrossRef zbMATH MathSciNet Google Scholar. In this paper, the generalized harmonic balance method is presented for approximate, analytical solutions of periodic motions in nonlinear dynamical systems.

The nonlinear damping, periodically forced, Duffing oscillator is studied as a sample problem. This book is a systematic summary of some new advances in the area of nonlinear analysis and design in the frequency domain, focusing on the application oriented theory and methods based on the GFRF concept, which is mainly done by the author in.

Xu Wang, in Frequency Analysis of Vibration Energy Harvesting Systems, Frequency Response Method. Frequency response function of a linear mechanical system is defined as the Fourier transform of the time domain response divided by the Fourier transform of the time domain input [1].As mentioned previously, when s = iω, Eq.

() becomes the frequency response. This book is truly comprehensive in many different aspects: it covers most of the model classes currently used in black-box nonlinear system identification (an exception to this is fuzzy-logic models), it discusses time-domain and frequency-domain techniques for nonlinear systems, it deals with temporal (lumped-parameter) and spatio-temporal (distributed Reviews: 2.

The generalized frequency response function (GFRF) for Volterra systems described by the nonlinear autoregressive with exogenous input model is determined by a new mapping function based on its parametric characteristic.

@peteroznewman I am following this post as I am interested in performing (geometrically nonlinear/large deflection) frequency response analysis. I have a beam (very thin) fixed at both ends. When I apply a base excitation sinusoidal acceleration [A*sin(2*pi*f*t), f= frequency, t=time, A=amplitude] the fixed-fixed beam undergoes transverse.

Abstract. The principal aim of this paper is to present the idea of ‘generalized frequency response’ of a nonlinear input-output map S is defined as τ σ S xo τ -1 σ where τ σ is the canonical isomorphsim from the weighted space L 2 w [0, ∞] to ℓ 2 with respect to a given basis σ for L 2 w (0, ∞) and the standard basis for ℓ 2.

The Parametric Characteristics of Frequency Response Functions for Nonlinear Systems Xing-Jian Jing1, Zi-Qiang Lang1, Stephen A. Billings1 and Geofrey R. Tomlinson 2 1 Department of Automatic Control and Systems Engineering, Universi ty of Sheffield 2 Department of Machenical Engineering, University of Sheffield Mappin Street, Sheffield, S1 3JD.

FREQUENCY RESPONSE FREQUENCY RESPONSE –– INTRODUCTIONINTRODUCTION Ni Ch 10Nise Ch. 10 In frequency response analysis of control systems, the steady state response of the system to sinusoidal input is of interest.

The frequency response analyses are carried out in the freqqyuency domain, rather than the time domain. Based on the Volterra series theory of nonlinear system, the researchers recently proposed a new concept known as output frequency response function.

Generalized transform of a function of two variables: Properties of Transform Frequency mix response Nonlinear Systems with Multiple Inputs," Proceedings of the IEEE, vol. 62, pp.A new algorithm called the total least squares with structure selection (TLSSS) has been proposed to identify continuous time differential equation models from complex frequency response data.

The algorithm combines the advantages of both the total least squares and orthogonal least squares with structure selection (OLSSS).

• Frequency-Response Method – Frequency response is the steady-state response of a system to a sinusoidal input. In frequency-response methods, we vary the frequency of the input signal over a certain range and study the resulting response.

– The design of feedback control systems in industry is probably accomplished using frequency-response.[A] Jing X. J.,Parametric Characteristic Analysis for Generalized Frequency Response Functions of Nonlinear Systems, Circuits, Systems and Signal Processing, –, [A] Jing X.

J.,Determination of the analytical parametric relationship for output spectrum of Volterra systems based on its parametric.Purchase Frequency Analysis of Vibration Energy Harvesting Systems - 1st Edition. Print Book & E-Book.

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