Accession Number:

ADA434856

Title:

Dynamic Response of an Elastic Plate Containing Periodic Masses

Descriptive Note:

Technical rept.

Corporate Author:

NAVAL UNDERSEA WARFARE CENTER DIV NEWPORT RI

Personal Author(s):

Report Date:

2005-03-31

Pagination or Media Count:

36.0

Abstract:

This report develops an analytical model that incorporates an infinite number of periodically spaced discrete masses into the equations of elasticity of a two-dimensional solid. Two specific problems are addressed. The first is that of a plate with the masses on the bottom edge, and the second is that of a plate with the masses embedded in the medium. the equations of elasticity are transformed into stress field expressions with the appropriate boundary conditions in the wave number-frequency domain. These equations are indexed using an integer shift property to obtain expressions of the higher-order dynamics of the system. Once this is accomplished, all the indexed equations of the system are written together in a single matrix equation. The problem is then solved using a truncated set of terms. The model results are compared to previously available low frequency results for solutions involving the flexural wave in the plate. A numerical example is then solved at high frequency that includes higher-order wave motion, and these results are discussed.

Subject Categories:

  • Mechanics
  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE