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Nonlinear dynamics of parts in engineering systems
Luleå University of Technology, Division of Computer Aided Design, Department of Mechanical Engineering, Sweden.ORCID iD: 0000-0002-1426-1936
Luleå University of Technology, Division of Computer Aided Design, Department of Mechanical Engineering, Sweden.ORCID iD: 0000-0002-4048-3452
2000 (English)In: Chaos, Solitons & Fractals, ISSN 0960-0779, E-ISSN 1873-2887, Vol. 11, no 15, 2413-2428 p.Article in journal (Refereed) Published
Abstract [en]

By definition, chaotic vibrations arise from nonlinear deterministic physical systems or non-random differential or difference equations. In numerous engineering systems there exist nonlinearities which might affect the dynamic behaviour of the system. The objectives in this work are to summarise previous work on nonlinear dynamics of engineering parts and products and to investigate if research on how nonlinear parts can effect the total behaviour of the products have been performed. It is found that common nonlinear parts are machine elements such as gears, bearings, brakes and suspension systems. The most studied part in a product is of impact hammer type. The products are ordinary products, from searing machines, drilling machines and printers to railway vehicles. In order to be able to design reliable products the methodology should be further developed to enable use by engineers. One can conclude that the effect of nonlinear parts on the total system behaviour is still a fairly uninvestigated area.

Place, publisher, year, edition, pages
Elsevier, 2000. Vol. 11, no 15, 2413-2428 p.
Keyword [en]
SQUEEZE FILM DAMPER, GEAR-PAIR, INJECTION PARAMETERS, STABILITY ANALYSIS, IMPACT RESPONSE, VIBRATION, MOTION, BEHAVIOR, CHAOS, MODEL
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-13495DOI: 10.1016/S0960-0779(00)00016-3ISI: 000089455100002OAI: oai:DiVA.org:kth-13495DiVA: diva2:325850
Note

QC 20100621

Available from: 2010-06-21 Created: 2010-06-21 Last updated: 2017-12-12Bibliographically approved
In thesis
1. Effects of nonlinear dynamics in engineering systems
Open this publication in new window or tab >>Effects of nonlinear dynamics in engineering systems
2001 (English)Licentiate thesis, comprehensive summary (Other scientific)
Place, publisher, year, edition, pages
Stockholm: KTH, 2001. 19 p.
Series
Trita-FKT, 2001:03
Keyword
Nonlinear dynamics, Impacts, Subsystems, Chaos, Irregular, Behaviour, Printer Dynamics, Suspensions, Coupled systems
National Category
Engineering and Technology
Identifiers
urn:nbn:se:kth:diva-1208 (URN)
Note
QC 20100621Available from: 2001-04-02 Created: 2001-04-02 Last updated: 2010-06-21Bibliographically approved
2. Design and Control of Products Including Parts with Impacts
Open this publication in new window or tab >>Design and Control of Products Including Parts with Impacts
2004 (English)Doctoral thesis, comprehensive summary (Other scientific)
Abstract [en]

Today's product development process should be rapid andcost-efficient, and should result in innovative and reliableproducts. A crucial factor is the dynamic behaviour of theproduct.

This thesis focuses on theoretical, numerical andexperimental approaches to achieve a comprehensiveunderstanding of dynamical phenomena occurring in nonlinearproducts, especially in products with parts that includeimpacts. The aim is to show the usefulness of nonlineartheories to better understand and optimise the dynamicbehaviour of products and thereby account for nonlinearphenomena already in the product development process.

This is achieved through an investigation of researchefforts in the field of nonlinear dynamics; identification ofimportant research directions; a study on the effect ofcouplings between nonlinear parts; a detailed study on thedynamic behaviour of a product component; investigations oflow-cost strategies for controlling the dynamics of a nonlinearsystem; and the design and implementation of experimentalset-ups of two studied products.

The investigation of research efforts shows that nonlinearparts are frequently included in products. Most common areparts that are nonlinear due to impacts and friction. Twoimportant areas are identified; to study coupling effectsbetween nonlinear subsystems and to study how nonlinearanalysis can be used to improve existing designs.

Considering the studied products; a pantograph on a trainand a Braille printer, it can be concluded that thecharacteristics of a part can largely affect the dynamicbehaviour of the product. Typical nonlinear behaviour, such ascoexisting solutions and irregular motions, do occur. Theanalysis of the pan- tograph motion shows important aspects toconsider in the modelling process; coupling effects. In thecase of the Braille printer it is shown possible to create alow-cost control, by taking advantage of an existingdiscontinuity, to achieve a desired motion.

Altogether, this work contributes to improved understandingof the be- haviour of nonlinear parts in products, especiallythose including impacts, pro- viding greater knowledge aboutaspects to consider in the design process.

Keywords:Nonlinear Dynamics, Impacts, Discontinuities,Subsystems, Chaos, Irregular Behaviour, Printer Dynamics,Suspensions, Coupled Systems, Control.

Place, publisher, year, edition, pages
Stockholm: KTH, 2004. x, 54 p.
Series
Trita-AVE, ISSN 1651-7660 ; 2004:07
Keyword
Nonlinear Dynamics, Impacts, Discontinuities, Subsystems, Chaos, Irregular Behaviour, Printer Dynamics, Suspensions, Coupled Systems, Control
National Category
Engineering and Technology
Identifiers
urn:nbn:se:kth:diva-3734 (URN)
Public defence
2004-04-29, 00:00
Note
QC 20100621Available from: 2004-05-07 Created: 2004-05-07 Last updated: 2010-06-21Bibliographically approved

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Jerrelind, JennyStensson, Annika

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