Nonlinear force-free configurations in cylindrical geometry

Observation of a free-Shercliff-layer instability in cylindrical geometry.

We report on observations of a free-Shercliff-layer instability in a Taylor-Couette experiment using a liquid metal over a wide range of Reynolds numbers, Re∼10(3)-10(6). The free Shercliff layer is formed by imposing a sufficiently strong axial magnetic field across a pair of differentially rotating axial end cap rings. This layer is destabilized by a hydrodynamic Kelvin-Helmholtz-type instabi...

Calculating and Testing Nonlinear Force-Free Fields

Improvements to an existing method for calculating nonlinear force-free magnetic fields (Wheatland 2006, Solar Phys. 238, 29) are described. In particular a solution of the 3-D Poisson equation using 2-D Fourier transforms is presented. The improved nonlinear force-free method is demonstrated in application to linear force-free test cases with localized non-zero values of the normal component o...

Forbidden Configurations in Discrete Geometry

Abstract Configurations in Algebraic Geometry

CONFIGURATIONS IN ALGEBRAIC GEOMETRY

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...