3 papers
math.DS2016
Identification of Nonlinear Normal Modes of Engineering Structures under Broadband Forcing
J. P. Noël, L. Renson, C. Grappasonni +1
The objective of the present paper is to develop a two-step methodology integrating system identification and numerical continuation for the experimental extraction of nonlinear no…
math.DS2016
The harmonic balance method for bifurcation analysis of large-scale nonlinear mechanical systems
Thibaut Detroux, Ludovic Renson, Luc Masset +1
The harmonic balance (HB) method is widely used in the literature for analyzing the periodic solutions of nonlinear mechanical systems. The objective of this paper is to exploit th…
math.DS2016
Nonlinear normal modes, modal interactions and isolated resonance curves
Robert J. Kuether, Ludovic Renson, Thibaut Detroux +3
The objective of the present study is to explore the connection between the nonlinear normal modes of an undamped and unforced nonlinear system and the isolated resonance curves th…