We investigate the dynamics of the vertically forced Duffing oscillator with suspended tuned mass absorber. Three different types of tuned mass absorbers are taken into consideration, i.e., classical single pendulum, dual pendulum and pendulum-spring. We numerically adjust parameters of absorbers to obtain the best damping properties with the lowest mass of attached system. The modification of ...

many of nonlinear systems in the field of engineering such as nano-resonator and atomic force microscope can be modeled based on duffing equation. analytical frequency response of this system helps us analyze different interesting nonlinear behaviors appearing in its response due to its rich dynamics. in this paper, the general form of duffing equation with cubic nonlinearity as well as paramet...

In this paper, we consider a problem of parametric identification piece-wise linear mechanical system described by ordinary differential equations. We reconstruct the phase space investigated from accelerometer data and perform parameter using iteratively reweighted least squares. Two key features our study are as follows. First, use differentiated governing equation containing acceleration vel...

this paper presents a method for damping of low frequency oscillations (lfo) in a power system. the powersystem contains static synchronous series compensators (sssc) which using a chaotic harmony searchalgorithm (chsa), optimizes the lead-lag damping stabilizer. in fact, the main target of this paper isoptimization of selected gains with the time domain-based objective function, which is solve...

the threshold of weak and strong synchronization in a coupled chaotic gaussian map isdemonstrated by using the pyragas’ terminology. however, vieira and lichtenberg have shown that thepyragas’ criteria for weak and strong synchronization cannot be used for all chaotic systems. in this articlewe demonstrated some interesting synchronization behavior of two coupled chaotic systems with some zeroa...

Many of nonlinear systems in the field of engineering such as nano-resonator and atomic force microscope can be modeled based on Duffing equation. Analytical frequency response of this system helps us analyze different interesting nonlinear behaviors appearing in its response due to its rich dynamics. In this paper, the general form of Duffing equation with cubic nonlinearity as well as par...