Following a brief review of current progress in the field of nonlinear targeted energy transfer
(TET), we discuss some general ideas and methods in this field and describe certain …

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

This book uses asymptotic methods to obtain simple approximate analytic solutions to
various problems within mechanics, notably wave processes in heterogeneous materials …

Nonlinear dynamics of engineering systems has reached the stage of full maturity in which it
makes sense to critically revisit its past and present in order to establish an historical …

This paper provides analytical investigation of nonstationary regimes in a strongly
anharmonic Klein-Gordon chain subjected to the two-component parametric excitation. We …

Experimental results on a nonlinear chain coupled to a main system are presented. The
chain is composed of eight moving masses, each one possesses local nonlinear restoring …

The nonlinear dynamics of a parametrically excited pendulum is addressed. The proposed
analytical approach aims at describing the pendulum dynamics beyond the simplified …

We treat a chain of oscillators with linear stiffness and internal and external cubic non-
linearities. The method of harmonic balance is used to determine the non-linear modes of …

We investigate chaotic dynamics and contact interaction of geometrically nonlinear
(according to the Kármán model) beam nanostructures with a small clearance. Contact …

The resonance of N linearly coupled damped Duffing oscillators with a constant frequency
sinusoidal driving force acting on the first oscillator is studied analytically by calculating the …