TY - GEN
T1 - A novel derivation for modal derivatives based on Volterra series representation and its use in nonlinear model order reduction
AU - Varona, M. Cruz
AU - Gebhart, R.
AU - Bilfinger, P.
AU - Lohmann, B.
AU - Rixen, D. J.
N1 - Publisher Copyright:
© 2019 The authors.
PY - 2019
Y1 - 2019
N2 - 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 the novel derivation, some possible impacts and applications of the new derivatives are presented and discussed, pursuing the aim that the conceptual results are also useful for practical purposes.
AB - 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 the novel derivation, some possible impacts and applications of the new derivatives are presented and discussed, pursuing the aim that the conceptual results are also useful for practical purposes.
KW - Modal Derivatives
KW - Model Order Reduction
KW - Nonlinear Normal Modes
KW - Nonlinear Structural Dynamics
KW - Volterra series
UR - http://www.scopus.com/inward/record.url?scp=85077435976&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:85077435976
T3 - COMPDYN Proceedings
SP - 2376
EP - 2394
BT - COMPDYN 2019 - 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Proceedings
A2 - Papadrakakis, Manolis
A2 - Fragiadakis, Michalis
PB - National Technical University of Athens
T2 - 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2019
Y2 - 24 June 2019 through 26 June 2019
ER -