This paper aims at reviewing nonlinear methods for model order reduction in structures with
geometric nonlinearity, with a special emphasis on the techniques based on invariant …

The direct parametrisation method for invariant manifolds is used for model order reduction
of forced-damped mechanical structures subjected to geometric nonlinearities. Nonlinear …

An original method for the simulation of the dynamics of highly flexible slender structures is
presented. The flexible structures are modeled via a finite element (FE) discretization of a …

We use the recent theory of spectral submanifolds (SSMs) for model reduction of nonlinear
mechanical systems subject to parametric excitations. Specifically, we develop expressions …

An accurate and efficient formulation is favorable for dynamic analysis and control in the
field of the flexible multibody system. This paper proposes a general nonlinear order …

In this paper, the effect of gravity on the nonlinear extreme amplitude vibrations of a slender,
vertically oriented cantilever beam is investigated. The extreme nonlinear vibrations are …

In this paper we present a density based topology optimization approach to the synthesis of
industrially relevant MEMS resonators. The methodology addresses general resonators …

Two of the most popular vibration testing methods for nonlinear structures are control-based
continuation and phase-locked-loop testing. In this paper, they are directly compared on the …

One of the key roles of structural engineering is to describe how a structure vibrates, or"
responds", when a dynamic load, or" excitation", is applied to it. Often, the assumption of …

The present article summarizes the submissions to the Tribomechadynamics Research
Challenge announced in 2021. The task was a blind prediction of the vibration behavior of a …