Nonlinear modes of vibration

Vibration modes of giant gravitons

We examine the spectrum of small vibrations of giant gravitons, when the gravitons expand in the anti-de-Sitter space and when they expand on the sphere. For any given angular harmonic, the modes are found to have frequencies related to the curvature length scale of the background; these frequencies are independent of radius (and hence angular momentum) of the brane itself. This implies that th...

Nonlinear Vibration Analysis of a cantilever beam with nonlinear geometry

Analyzing the nonlinear vibration of beams is one of the important issues in structural engineering. According to this, an impressive analytical method which is called Modified Iteration Perturbation Method (MIPM) is used to obtain the behavior and frequency of a cantilever beam with geometric nonlinear. This new method is combined by the Mickens and Iteration methods. Moreover, this method don...

Vocal fold vibration patterns and phonatory modes

Localized vibration modes in free anisotropic wedges.

Propagation of flexural localized vibration modes along edges of anisotropic wedges is considered in the framework of the geometrical-acoustics approach. Its application allows for straightforward evaluation of the wedge-mode velocities in the general case of arbitrary elastic anisotropy. The velocities depend on the wedge apex angle and on the mode number in the same way as in the isotropic ca...

Multistable nonlinear surface modes

We analyze the structure and stability of nonlinear surface modes in a simple one-dimensional lattice model of an adsorbed layer. Applying the bifurcation analysis, we reveal the phenomenon of multistability that manifests itself in the existence, for certain values of the total energy, of three distinct types of nonlinear surface modes with different structures and locations. We find that two ...