Title: The remarkable structure of the mode shapes and eigenforces of a special multibody oscillator
Authors: Weber, Wolfgang 
Müller, Peter C. 
Anders, Bernd 
Language: en
Keywords: Universitätsbibliographie;Evaluation 2018
Issue Date: Apr-2018
Publisher: Springer
Document Type: Article
Source: Enthalten in: Archive of applied mechanics. - Berlin : Springer, 1929. - Online-Ressource . - Bd. 88.2018, 4, Seite 563-571
Journal / Series / Working Paper (HSU): Archive of Applied Mechanics 
Volume: 88
Issue: 4
Page Start: 563
Page End: 571
Publisher Place: Berlin, Heidelberg
Abstract: 
© 2017, Springer-Verlag GmbH Germany, part of Springer Nature. This contribution deals with Mikota’s oscillator, a linear vibration chain with arbitrary n degrees of freedom. Of special interest are both the left- and right-eigenvectors of the undamped system. Investigating the first two right-eigenvectors leads to a conjecture concerning the general structure of the remaining n- 2 right-eigenvectors. This general structure is proven, and an analytical expression is found which provides an efficient possibility to calculate all left- and right-eigenvectors in a successive manner. Additionally, it is revealed that the mode shapes of this special vibration chain are (partly) orthogonal to each other with respect to the standard scalar product.
Description: 
Impact Factor: 1.578 (Stand 2018)
SJR Faktor ist 0.641 / Q2 Journal (Stand 2019)
H-Index: 56 (Stand 2021)
Organization Units (connected with the publication): Statik und Dynamik 
URL: https://ub.hsu-hh.de/DB=1/XMLPRS=N/PPN?PPN=1750375060
https://api.elsevier.com/content/abstract/scopus_id/85035791456
ISBN: 14320681
14320681
14320681
14320681
14320681
ISSN: 09391533
DOI: 10.1007/s00419-017-1327-9
Appears in Collections:2018

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