High frequency vibrations and waves in laminated orthotropic plates

✍ Scribed by R.B. Nelson; S.B. Dong

• Publisher: Elsevier Science
• Year: 1973
• Tongue: English
• Weight: 567 KB
• Volume: 30
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(73)80048-3

✦ Synopsis

The extended Ritz technique is used to study high frequency vibrations and waves in infinite homogeneous and laminated orthotropic plates. This technique utilizes exact expressions for the wave form along the extent of the plate, but models the plate's behavior through the thickness with a large number of generalized coordinates. A procedure is shown for computing the group velocities from the modal data. A number of examples are presented to' illustrate the modeling capability of this solution technique in the high frequency range. Frequencies, modal displacements and group velocities are obtained in the range 10-30 times above the lowest non-zero cut-off frequency and for a wide range of wave numbers. In addition, modal stress patterns are obtained and compared with analytical results. The method is shown to give accurate information over a large region of the frequency spectrum. Thus, it is a versatile and efficient, as well as computationally very efficient, means for generating data for investigating the transient response of composite plates including problems of impact.