Dispersion free wave splittings for structural elements
Journal article, 2006

Wave splittings are derived for three types of structural elements: membranes, Timoshenko beams, and Mindlin plates. The Timoshenko beam equation and the Mindlin plate equation are inherently dispersive, as is each Fourier component of the membrane equation in an angular decomposition of the field. The distinctive feature of the wave splittings derived in the present paper is that, in homogeneous regions, they transform the dispersive wave equations into simple one-way wave equations without dispersion. Such splittings have uses both for radial scattering problems in the 2D cases and for scattering problems in dispersive media. As an example of how the splittings may be applied, a direct scattering problem is solved for a membrane with radially varying density. The imbedding method is utilized, and agreement is obtained with an FE simulation.

Mindlin plate

Membrane

Time domain methods

Imbedding

Timoshenko beam

Green´s operator

Wave splitting

Author

Martin Johansson

Dynamics

Peter Folkow

Dynamics

Peter Olsson

Dynamics

Computers and Structures

0045-7949 (ISSN)

Vol. 84 7 514-27

Subject Categories

Applied Mechanics

DOI

10.1016/j.compstruc.2005.09.006

More information

Created

10/7/2017