An efficient and accurate analytical solution is provided using the homotopy-Pade technique for the nonlinear vibration of parametrically excited cantilever beams. The model is based on the Euler-Bernoulli assumption and includes third order nonlinear terms arisen from the inertial and curvature nonlinearities. The Galerkin’s method is used to convert the equation of motion to a nonlinear ordin...

A Bommel-Dransfeld technique is used to analyse the frequency spectrum in GaAs acousto­ electric domains up to 8 GHz. Parametric frequency conversion is found to be only dominant at the very onset of domain formation. In the strongly nonlinear regime, the amplified noise is mainly concentrated around the shifting frequency of maximum nonlinear gain. The shift of the maximum gain frequency is ge...

This article reviews techniques to identify the frequency domain properties of linear and nonlinear systems from measured physical input/output data. Practical spectral analysis procedures are discussed that are valid with random data to predict the frequency response functions in single-input/single-output (SI/SO) linear models and in multipleinput/single-output (MI/SO) linear models. Special ...

We study the enhanced Kerr-nonlinear coefficient in a three-level A-type atomic system for various coupling-beam powers. The Kerr-nonlinear coefficient behaves very differently in the strong and the weak coupling power regions and changes sign when the coupling or probe frequency detuning changes sign. Comparisons of Kerr-nonlinear coefficients as functions of probe frequency detuning, coupling...

In this paper, the nonlinear vibration of functionally graded (FGM) cylindrical shells subjected to radial harmonic excitation is investigated. The nonlinear formulation is based on a Donnell’s nonlinear shallow-shell theory, in which the geometric nonlinearity takes the form of von Karman strains. The Lagrange equations of motion were obtained by an energy approach. In order to reduce the syst...

in this paper, intelligent water drop algorithm (iwd) is used to analyze single overhead line connected to grid-grounded arrester. in this approach, at first norton’s equivalent circuit of the overhead line over lossy soil is computed by method of moments (mom) and then for the problem under consideration, a nonlinear equivalent circuit in the frequency domain is proposed. finally applying inte...