Hysteresis is a nonlinear phenomenon present in many structures, such as those assembled by bolted joints. Despite large number of recent findings related to identification techniques for these systems, the problem still challenging and open contributions. To fill gap concerning proposition algorithms based on closed-form solutions, this work introduces use harmonic balance method identify stoc...

This paper further investigates on a basic issue that has received attention in the recent literature, namely, the robustness of complete stability of standard Cellular Neural Networks (CNNs) with respect to small perturbations of the nominal symmetric interconnections. More specifically, a class of third-order CNNs with a nominal symmetric interconnection matrix is considered, and the Harmonic...

In this article, based on the Euler-Bernoulli beam theory, the large-amplitude vibration of multiwalled carbon nanotubes embedded in an elastic medium is investigated. The method of incremental harmonic balance is implemented to solve the set of governing nonlinear equations coupled via the van der Waals (vdW) interlayer force. The influences of number of tube walls, the elastic medium, nanotub...

An important goal in astrophysics is to model phenomena such as the gravitational collapse of stars and accretion onto black holes. Under the assumption that the spacetime metric remains fixed on the time scales of fluid motion, the relevant physics can be modeled by the equations of relativistic hydrodynamics. These equations form a system of hyperbolic balance laws that are strongly nonlinear...