{"title":"Nonlinear Frequency Response Analysis of Distributed Parameter Systems with One Spatial Coordinate","authors":"Dr. Luka Živković, Prof. Dr. Menka Petkovska","doi":"10.1002/cite.202400084","DOIUrl":null,"url":null,"abstract":"<p>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.</p>","PeriodicalId":9912,"journal":{"name":"Chemie Ingenieur Technik","volume":"96 12","pages":"1604-1612"},"PeriodicalIF":1.5000,"publicationDate":"2024-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chemie Ingenieur Technik","FirstCategoryId":"5","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/cite.202400084","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ENGINEERING, CHEMICAL","Score":null,"Total":0}
引用次数: 0
Abstract
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.
期刊介绍：
Die Chemie Ingenieur Technik ist die wohl angesehenste deutschsprachige Zeitschrift für Verfahrensingenieure, technische Chemiker, Apparatebauer und Biotechnologen. Als Fachorgan von DECHEMA, GDCh und VDI-GVC gilt sie als das unverzichtbare Forum für den Erfahrungsaustausch zwischen Forschern und Anwendern aus Industrie, Forschung und Entwicklung. Wissenschaftlicher Fortschritt und Praxisnähe: Eine Kombination, die es nur in der CIT gibt!
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