A Frequency Domain Versus a Time Domain Identification Technique for Nonlinear Parameters Applied to Wire Rope Isolators

2000 ◽  
Vol 123 (4) ◽  
pp. 645-650 ◽  
Author(s):  
Gaetan Kerschen ◽  
Vincent Lenaerts ◽  
Stefano Marchesiello ◽  
Alessandro Fasana
Keyword(s):  
Frequency Domain ◽  
Time Domain ◽  
Nonlinear Dynamical Systems ◽  
Wire Rope ◽  
Restoring Force ◽  
Nonlinear Parameters ◽  
Nonlinear Dynamical ◽  
Domain Identification ◽  
Identification Technique ◽  
Reverse Path Method

The present paper aims to compare two techniques for identification of nonlinear dynamical systems. The Conditioned Reverse Path method, which is a frequency domain technique, is considered together with the Restoring Force Surface method, a time domain technique. Both methods are applied for experimental identification of wire rope isolators and the results are compared. Finally, drawbacks and advantages of each technique are underlined.

FREQUENCY DOMAIN APPROACH TO COMPUTATION AND ANALYSIS OF BIFURCATIONS AND LIMIT CYCLES: A TUTORIAL

1993 ◽  
Vol 03 (04) ◽  
pp. 843-867 ◽  
Author(s):  
JORGE L. MOIOLA ◽  
GUANRONG CHEN
Keyword(s):  
Nonlinear Dynamics ◽  
Frequency Domain ◽  
Control Systems ◽  
Time Domain ◽  
Limit Cycles ◽  
Nonlinear Dynamical Systems ◽  
Graphical Analysis ◽  
Nonlinear Dynamical ◽  
Feedback Control Systems ◽  
Frequency Domain Approach

This paper introduces a frequency domain approach together with some techniques and methodologies for the computation and analysis of bifurcations and limit cycles arising in nonlinear dynamical systems. The frequency domain approach discussed in this paper originates from the classical feedback control systems theory, which has been proven to be successful and efficient for the computation and analysis of regular as well as singular bifurcations and stable as well as unstable limit cycles. While describing these techniques and methods, two representative yet distinct applications of the approach are studied in detail: The graphical analysis of multiple parametric bifurcation curves and the numerical computation of multiple limit cycles. Compared to the classical time domain methods, both the advantages and the limitations of the frequency domain approach are analyzed and discussed. It is believed that this frequency domain approach to the study of nonlinear dynamics has great potential and promising future in both theory and applications.

Analysis on Critical Phenomena of a Hysteretic System

2003 ◽  
Author(s):  
Z. Chen ◽  
Z. Q. Wu ◽  
P. Yu
Keyword(s):  
Critical Phenomena ◽  
Nonlinear Dynamical Systems ◽  
Critical Phenomenon ◽  
External Forcing ◽  
Restoring Force ◽  
Nonlinear Dynamical ◽  
Hysteretic Property ◽  
Nonlinear Mechanical System ◽  
Hysteretic Damper ◽  
New Finding

In this paper, a nonlinear mechanical system with external forcing is investigated to study the critical phenomena of the system. The system involves a von der Pol type damping and a hysteretic damper representing a restoring force. Numerical simulations are used to show that under an external exciting force, the hysteretic restoring force may not follow the routes described by a conventional form of piecewise function, but exhibit some irregular behavior. We call this unusual situation the critical phenomenon of the system. Simulations results suggest that a device with hysteretic property (e.g., the damper considered in this paper) may change its typical characteristics under external forcing. This new finding may enhance the study of nonlinear dynamical systems with hysteretic property under external excitement.

A Frequency Domain Identification Scheme for Control and Fault Diagnosis

1997 ◽  
Vol 119 (1) ◽  
pp. 48-56 ◽  
Author(s):  
G. Mallory ◽  
R. Doraiswami
Keyword(s):  
Frequency Domain ◽  
Linear Time ◽  
Robot Manipulator ◽  
Physical Parameters ◽  
Linear Time Invariant ◽  
Domain Identification ◽  
Frequency Domain Identification ◽  
Identification Technique ◽  
Manipulator Arm ◽  
Linear Time Invariant System

A robust scheme to estimate a set of models for a linear time-invariant system, subject to perturbations in the physical parameters, from a frequency response data record is proposed. The true model as well as the disturbances affecting the system are assumed unknown. However, the physical parameters are assumed to enter the coefficients of the system transfer function multilinearly. A set of models is identified by perturbing the physical parameters one-at-time and using a frequency domain identification technique. Exploiting the assumed multilinearity, the estimated set of models is validated. The proposed scheme is evaluated on a number of simulated systems, and on a physical robot manipulator arm.

Frequency domain conditions for the robust stability of linear and nonlinear dynamical systems

1991 ◽  
Vol 38 (4) ◽  
pp. 389-397 ◽  
Author(s):  
S. Dasgupta ◽  
P.J. Parker ◽  
B.D.O. Anderson ◽  
F.J. Kraus ◽  
M. Mansour
Keyword(s):  
Dynamical Systems ◽  
Frequency Domain ◽  
Robust Stability ◽  
Nonlinear Dynamical Systems ◽  
Nonlinear Dynamical ◽  
Linear And Nonlinear

New time-domain identification technique

1987 ◽  
Vol 10 (3) ◽  
pp. 313-316 ◽  
Author(s):  
Fang-Bo Yeh ◽  
Ciann-Dong Yang
Keyword(s):  
Time Domain ◽  
Domain Identification ◽  
Identification Technique ◽  
New Time

A Time and Frequency Domain Approach for Identifying Non-Linear Automotive Suspension System Models in the Absence of an Input Measurement

2004 ◽  
Author(s):  
Muhammad Haroon ◽  
Douglas E. Adams ◽  
Yiu Wah Luk ◽  
Aldo A. Ferri
Keyword(s):  
System Identification ◽  
Frequency Domain ◽  
Time Domain ◽  
Nonlinear System Identification ◽  
Mechanical Systems ◽  
Suspension System ◽  
Restoring Force ◽  
Automotive Suspension ◽  
The Time Domain ◽  
Vehicle Suspension System

The inputs to many ‘real’ mechanical systems are not readily measurable. For example, the input to the tire patch of the tires of automotive road vehicles is neither measurable nor easy to estimate. As conventional system identification procedures require input measurements or at least estimates of the inputs, a new approach for nonlinear system identification of mechanical systems, in the absence of an input measurement, is presented here. This approach uses a combination of time domain (Restoring Force) and frequency domain (Nonlinear Identification through Feedback of the Outputs (NIFO)) techniques. The time domain is used to characterize the nonlinearities in the system and the observed nonlinear characteristics are used in the frequency domain to build a model of the system. The method is applied to experimental tire-vehicle suspension system data.

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