Dynamic Response of an Elastic Plate Containing Periodic Masses
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 31, 2005
- Accession Number
- ADA434856
Entities
People
- Andrew John Hull
Organizations
- Naval Undersea Warfare Center