The large‐scale structure systems in engineering are complex, high dimensional, and
variety of physical mechanism couplings; it will be difficult to analyze the dynamic behaviors …

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 …

In this paper, a dynamic model of a complex dual rotor-bearing system of an aero-engine is
established based on the finite element method with three types of beam elements (rigid …

In this paper, we develop a component mode synthesis method that relies on artificial
springs to connect the subsystems of a built-up structure. The modal behaviour of the …

In bladed disks, friction nonlinearities occurring within the contact between the blades and
disk or between the blades and underplatform dampers are used to decrease the vibratory …

Bearing failure is the most common failure mode in rotating machinery and can result in
large financial losses or even casualties. However, complex structures around bearing and …

This article presents a methodology dedicated to the vibration analysis of turbomachine
blades accounting for both geometric nonlinearities and nonlinear blade-tip/casing contacts …

In this study, the nonlinear dynamics of a dual-rotor system with active elastic support/dry
friction dampers (ESDFDs) are investigated based on complex nonlinear modes (CNMs) …

Engineering large structure systems are dynamic, high-dimensional and have a wide range
of physical mechanism interconnections. Analyzing the dynamic behavior of complex …

In this paper we develop a fully numerical approach to compute quasi-periodic vibrations
bifurcating from nonlinear periodic states in cyclic and symmetric structures. The focus is on …