The present literature review focuses on geometrically non-linear free and forced vibrations
of shells made of traditional and advanced materials. Flat and imperfect plates and …

This paper is an extension of the previous review, done by the same authors (Mikhlin, Y.,
and Avramov, KV, 2010,“Nonlinear Normal Modes for Vibrating Mechanical Systems …

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 …

Two principal concepts of nonlinear normal vibrations modes (NNMs), namely the Kauderer–
Rosenberg and Shaw–Pierre concepts, are analyzed. Properties of the NNMs and methods …

This study presents a first attempt to explore new analytic free vibration solutions of doubly
curved shallow shells by the symplectic superposition method, with focus on non-Lévy-type …

Object The dynamic behavior of sandwich cylindrical shell with fused deposition processed
of flexible honeycomb core and carbon nanotube reinforced composite faces sheets is …

The plates interacting with inviscid, incompressible, potential gas flow are analyzed. Many
modes interaction is considered to describe self-sustained vibrations of plates. The singular …

The interaction of a thin plate with a fluid flow is simulated mathematically taking into
account the geometrically nonlinear deformation of the plate. The interaction between the …

Cantilever plates with geometrical nonlinearities interacting with three-dimensional inviscid
potential flow are considered. The new method for analysis of stability and bifurcations of the …

The dynamic instability of the parabolic shells in a supersonic gas flow is analyzed
numerically. Such structures describe a rocket fairing. Finite degrees of freedom dynamical …