𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Analysing non-linear systems in the frequency domain--II. The phase response

✍ Scribed by S.A. Billings; H. Zhang

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
548 KB
Volume
8
Category
Article
ISSN
0888-3270

No coin nor oath required. For personal study only.

✦ Synopsis

Phase shift is very important in the frequency response analysis of non-linear systems and in this paper the phase response function is analysed and interpreted to provide a clear understanding of phase. Non-linear systems which include delay elements are also discussed and simulations of both continuous and discrete time non-linear systems are included to demonstrate the concepts involved.

πŸ“œ SIMILAR VOLUMES

Unwrapping the phase response functions
Unwrapping the phase response functions for non-linear systems
✍ H. Zhang; S.A. Billings πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 731 KB

The higher order phase response functions contain important information about the behaviour of non-linear systems. Unfortunately, simply adopting the linear convention of plotting the phase between 2180Β°produces higher order phase response functions which are virtually impossible to interpret. In th

On the Applications of the Frequency-Dom
On the Applications of the Frequency-Domain Method for Uniformly Dissipative Non-Linear Systems
✍ Anthony Uyi Afuwape πŸ“‚ Article πŸ“… 1987 πŸ› John Wiley and Sons 🌐 English βš– 336 KB

Abslract. In this paper, we introduce the idea of dual systems of the frequency-domain method for uniform dissipativity. We prove the equivalence of the frequency-domain conditions for dual systems and apply it to a third-order non-linear differential equation arising from the vacuum tube circuit pr

ANALYSIS OF THE FREQUENCY RESPONSE FUNCT
ANALYSIS OF THE FREQUENCY RESPONSE FUNCTION FOR LINEAR AND QUADRATIC NON-LINEAR SYSTEMS USING VECTOR NOTATION
✍ DONG-HYUN KIM; KYOUNG-UK NAM; YANG-HANN KIM πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 232 KB

We have attempted to express the frequency response functions of a linear and a quadratic non-linear system in terms of spectral vectors. These vector notations convey the system characteristics in physically realisable measures. One of the valuable tools to verify the non-linear system features is

A NEW DERIVATION OF THE FREQUENCY RESPON
A NEW DERIVATION OF THE FREQUENCY RESPONSE FUNCTION MATRIX FOR VIBRATING NON-LINEAR SYSTEMS
✍ D.E. ADAMS; R.J. ALLEMANG πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 272 KB

Frequency response function matrices relate the inputs and the outputs of structural dynamic systems. If a system is linear the frequency response function matrix is the same for any combination or types of inputs over the entire operating range. Furthermore, the frequency response matrix of a linea