In this study, nonlinear vibration of a composite cable is investigated by considering nonlinear stress-strain relations. The composite cable is composed of an aluminum wire as reinforcement and a rubber coating as matrix. The nonlinear governing equations of motion are derived about to an initial curve and based on the fundamentals of continuum mechanics and the nonlinear Green-Lagrangian stra...

This study investigates the response frequency conversion characteristic of a nonlinear curved panel mounted with a centre mass and the sound radiations. A set of coupled governing differential equations is set up and used to generate the nonlinear vibration responses, which are used to calculate the corresponding radiated sounds. The vibration, sound levels, and the ratio of the antisymmetrica...

The Raman response function and Raman nonlinear index of phosphosilicate fibers are calculated for several P2O5 concentrations. The nonlinear index of phosphosilicate fiber is estimated by using the Boling formula, and it is used to calculate the Raman fraction of the nonlinear index. On the other hand, the Raman response function of the phosphosilicate fibers is fitted to a superposition of si...

An original method for the simulation of dynamics highly flexible slender structures is presented. The are modeled via a finite element (FE) discretization geometrically exact two-dimensional beam model, which entirely preserves geometrical nonlinearities inherent in such systems where rotation cross-section can be extreme. FE equation solved by combination harmonic balance (HBM) and asymptotic...

We propose and design a new type of nonlinear metamaterials exhibiting a resonant electric response at microwave frequencies. By introducing a varactor diode as a nonlinear element within each resonator, we are able to shift the frequency of the electric mode stop band by changing the incident power without affecting the magnetic response. These elements could be combined with the previously de...

We demonstrate high-resolution near-field imaging and spectroscopy using the nonlinear optical response of a gold nanoparticle pair as an excitation photon source. Femtosecond pulses of frequencies omega(1) and omega(2) are used to induce a nonlinear polarization at the four wave mixing (4WM) frequency 2omega(1) - omega(2) in the junction of the nanoparticle dimer. The nonlinear response leads ...

A framework for system analysis and design is described based on nonlinear system models and nonperiodic signals generated by nonlinear systems. The proposed approach to analysis of nonlinear systems is based on excitability index a nonlinear counterpart of magnitude frequency response of linear system. It can be used for stability analysis of fully nonlinear cascade systems similarly to absolu...

In the present study, the analysis of nonlinear vibration for a simply-supported flexible beam with a constant velocity carrying a moving mass is studied. The amplitude of vibration assumed high and its deformation rate is assumed slow. Due to the high amplitude of vibrations, stretching is created in mid-plane, resulting in, the nonlinear strain-displacement relations is obtained, Thus, Nonlin...