Nonlinear Frequency Response Analysis of Distributed Parameter Systems with One Spatial Coordinate.

Živković, Luka; Petkovska, Menka

The objective of this paper is to investigate possible strategies for applying nonlinear frequency response (NFR) analysis based on the concept of higher‐order frequency response functions to distributed parameter systems. Three approaches are presented and compared: one based on applying the existing procedure directly to the partial differential model, and two based on approximation of the distributed parameter system with a series of lumped parameter segments. One of them treats the complete series of segments integrally, while the other treats it segment by segment, so it uses only the model of a single segment. A simple example, an isothermal plug‐flow reactor with a simple reaction mechanism, is used as a case study. Pros and cons for all three approaches are given.

DISTRIBUTED parameter systems; LUMPED parameter systems; SPATIAL systems; NONLINEAR systems

Chemie Ingenieur Technik (CIT), 2024, Vol 96, Issue 12, p1604

0009-286X

Academic Journal

10.1002/cite.202400084