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Document type:
Konferenzbeitrag 
Contribution type:
Textbeitrag / Aufsatz 
Author(s):
Cruz Varona, M.; Gebhart, R.; Bilfinger, P.; Lohmann, B.; Rixen, D.J. 
Title:
A novel derivation for modal derivatives based on Volterra series representation and its use in nonlinear model order reduction 
Pages contribution:
pp. 2376-2395 
Abstract:
This paper presents a novel derivation for modal derivatives based on the Volterra series representation of nonlinear structural systems. After reviewing the classical derivation, new modal derivatives are proposed based on the employment of the Volterra theory and the variational equation approach. It turns out that the gained new derivatives are almost identical to the conventional ones, except for the fact that a sum/subtraction of eigenfrequencies results in our definition. In addition to th...    »
 
Keywords:
Nonlinear Structural Dynamics, Model Order Reduction, Modal Derivatives, Volterra series, Nonlinear Normal Modes. 
Dewey Decimal Classification:
620 Ingenieurwissenschaften 
Editor:
Papadrakakis, M.; Fragiadakis, M. 
Book / Congress title:
7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COMPDYN 2019), Crete, Greece 
Congress (additional information):
MS27: Advances in model reduction techniques in computational structural dynamics 
Volume:
ID nr. 19178 
Date of congress:
24-26 June 2019 
Year:
2019 
Quarter:
2. Quartal 
Year / month:
2019-06 
Month:
Jun 
Covered by:
Scopus 
Print-ISBN:
978-618-82844-7-0 
Reviewed:
ja 
Language:
en 
Semester:
SS 19 
TUM Institution:
Lehrstuhl für Regelungstechnik