Comparing the direct normal form and multiple scales methods through frequency detuning

Normal form analysis of a forced aeroelastic plate

(2017) Marco Eugeni et al.   JOURNAL OF SOUND AND VIBRATION

Fast Bayesian identification of a class of elastic weakly nonlinear systems using backbone curves

(2016) T.L. Hill et al.   JOURNAL OF SOUND AND VIBRATION

Nonlinear normal modes for damage detection

(2016) Walter Lacarbonara et al.   MECCANICA

Periodic responses of a structure with 3:1 internal resonance

(2016) A.D. Shaw et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

The use of normal forms for analysing nonlinear mechanical vibrations

(2015) Simon A. Neild et al.   PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Post-buckling longterm dynamics of a forced nonlinear beam: A perturbation approach

(2014) Marco Eugeni et al.   JOURNAL OF SOUND AND VIBRATION

Bifurcations of backbone curves for systems of coupled nonlinear two mass oscillator

(2014) A. Cammarano et al.   NONLINEAR DYNAMICS

A generalized frequency detuning method for multidegree-of-freedom oscillators with nonlinear stiffness

(2013) S. A. Neild et al.   NONLINEAR DYNAMICS

An upper bound for validity limits of asymptotic analytical approaches based on normal form theory

(2012) Claude-Henri Lamarque et al.   NONLINEAR DYNAMICS

Applying the method of normal forms to second-order nonlinear vibration problems

(2010) S. A. Neild et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES