A nodal integration axisymmetric thin shell model using linear interpolation

Axisymmetric Acoustic Scattering by Interpolation

CONTENTS

Axisymmetric wave propagation on a conical shell

Equations are derived to describe the propagation of axially symmetric waves generated at the apex of a conical shell, taking into account he coupling between longitudinal and transverse waves. A form of approximate solution is proposed, based upon the Green's function for wave propagation on a fiat plate but containing several variational parameters, the number of which can be reduced to one i...

Numerical solution of linear control systems using interpolation scaling functions

The current paper proposes a technique for the numerical solution of linear control systems.The method is based on Galerkin method, which uses the interpolating scaling functions. For a highly accurate connection between functions and their derivatives, an operational matrix for the derivatives is established to reduce the problem to a set of algebraic equations. Several test problems are given...

Supernova Remnant Crossing a Density Jump: a Thin Shell Model

The environments of supernova explosion are often inhomogeneous and there may be jumps in their density structure. We have developed a semi-analytic model under the thin-shell approximation for supernova remnants that evolve crossing a density jump in the ambient medium. The generic evolutionary relations are presented for the blast wave after impacting on a cavity wall, which may be produced b...

Laminated Composite Shell Element Using Absolute Nodal Coordinate Formulation and Its Application to Ancf Tire Model