Modal Analysis of Nonlinear Mechanical Systems
Suggested readings
A.F. Vakakis, O. Gendelman, L.A. Bergman, D.M. McFarland, G. Kerschen, Y.S. Lee, Nonlinear Targeted Energy Transfer in Mechanical and Structural Systems, Springer, Berlin, 2008.
C. Pierre, D. Jiang, S. Shaw, Nonlinear normal modes and their application in structural dynamics, Mathematical Problems in Engineering (2006), 1–15.
C. Touze, M. Amabili, Nonlinear normal modes for damped geometrically nonlinear systems: Application to reduced-order modeling of harmonically forced structures, Journal of Sound and Vibration 298 (2006), 958–981.
G. Kerschen, M. Peeters, J.C. Golinval, A.F. Vakakis, Nonlinear normal modes, Part I: A useful framework for the structural dynamicist, Mechanical Systems and Signal Processing 23 (2009), 170–194.
M. Peeters, R. Viguié, G. Sérandour, G. Kerschen, J.C. Golinval, Nonlinear normal modes, Part II: Toward a practical computation using numerical continuation, Mechanical Systems and Signal Processing 23 (2009), 195–216.
B. Cochelin, C. Vergez, A high-order purely frequency-based harmonic balance formulation for continuation of periodic solutions, Journal of Sound and Vibration 324 (2009), 243–262.