Nonlinear system identification is a vast research field, today attracting a great deal of
attention in the structural dynamics community. Ten years ago, an MSSP paper reviewing …

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 …

Control-based continuation is a recently developed approach for testing nonlinear dynamic
systems in a controlled manner and exploring their dynamic features as system parameters …

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 …

Spectral submanifolds (SSMs) have recently been shown to provide exact and unique
reduced-order models for nonlinear unforced mechanical vibrations. Here, we extend these …

This contribution introduces a methodology for the detection of isolated branches of periodic
solutions to the nonlinear mechanical equation of motion for systems featuring frictionless …

One unique feature of nonlinear dynamical systems is the existence of superharmonic and
subharmonic resonances in addition to primary resonances. In this study, an effective …

Nonlinear stiffness isolation mounts, which offer a high static stiffness alongside a low
dynamic stiffness or even quasi-zero stiffness (QZS) over a displacement range, have been …

This paper presents a systematic method for exploring the nonlinear dynamics of multi-
degree-of-freedom (MDOF) physical experiments. To illustrate the power of this method …

Weakly damped mechanical systems under small periodic forcing tend to exhibit periodic
response in a close vicinity of certain periodic orbits of their conservative limit. Specifically …