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 ...

A modified variational approach called Global Error Minimization (GEM) method is developed for obtaining an approximate closed-form analytical solution for nonlinear oscillator differential equations. The proposed method converts the nonlinear differential equation to an equivalentminimization problem. A trial solution is selectedwith unknown parameters. Next, the GEM method is used to solve th...

The Casimir force between uncharged metallic surfaces originates from quantum-mechanical zero-point fluctuations of the electromagnetic field. We demonstrate that this quantum electrodynamical effect has a profound influence on the oscillatory behavior of microstructures when surfaces are in close proximity (< or =100 nm). Frequency shifts, hysteretic behavior, and bistability caused by the Cas...

The potential function of Lippincott and Schroeder for linear hydrogen bond has been re-examined and extended to nonlinear hydrogen bond. The parameters originally introduced to the potential function by Lippincott and Schroeder have been determined from the structural parameters such as 0.. .Odistance 0-H bond distance, H.. .O distance and HOO angle. Thevalidity of harmonic oscillator appr...

• The architecture of chaos oscillator should be similar to classical second order sine wave oscillator, e.g. LC or Wien-bridge based circuit. • The oscillator should not be higher than the third order system. • The circuit should be an autonomous oscillator. • The active unit should be linear and separated from the nonlinear element(s). • The nonlinear element should be single and simple, e.g....

A paradigm for quantum synchronization is the analog of Stuart--Landau oscillator, which corresponds to a van der Pol oscillator in limit weak (i.e. vanishingly small) nonlinearity. Due this limitation, fails capture interesting nonlinearity-induced phenomena such as relaxation oscillations. To overcome deficiency we propose an alternative model approximates finitely large nonlinearities while ...