This paper reviews the recent advances in computational methods for nonlinear normal
modes (NNMs). Different algorithms for the computation of undamped and damped NNMs …

This paper contains a review of the theory and applications of nonlinear normal modes,
which have been developed during last decade. This review has more than 200 references …

As the motions of nonconservative autonomous systems are typically not periodic, the
definition of nonlinear modes as periodic motions cannot be applied in the classical sense …

Phase-locked loops are commonly used for shaker-based backbone tracking of nonlinear
structures. The state of the art is to tune the control parameters by trial and error. In the …

The concept of nonlinear modes is useful for the dynamical characterization of nonlinear
mechanical systems. While efficient and broadly applicable methods are now available for …

The present work addresses the experimental identification of amplitude-dependent modal
parameters (modal frequency, dam** ratio, Fourier coefficients of periodic modal …

This paper presents an extension to classic component mode synthesis methods to compute
the steady-state forced response of nonlinear and dissipative structures. The procedure …

Determining frequency response curves is a common task in the vibration analysis of
nonlinear systems. Measuring nonlinear frequency responses is often challenging and time …

The acoustics of gearboxes contribute as a quality feature to the success of a gear design by
increasing consumer satisfaction. Particularly in special machine engineering, ensuring …

For the determination of periodic solutions for forced or free vibrations of nonlinear systems,
several proven methods exist. The motion of autonomous nonlinear non-conservative …