A Vibration Analysis Of Plates At High Frequencies By The Power Flow Method

✍ Scribed by H.S. Kim; H.J. Kang; J.S. Kim

• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 329 KB
• Volume: 174
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1994.1290

✦ Synopsis

The vibrations of plates at high frequenices are studied by using the power flow method. In the case of circular plates the equation that governs the spatial distribution of the time averaged energy density is derived from the power balance of the cylindrical waves. Comparisons of the power flow solutions and modal solutions for various boundary conditions show excellent agreements except in regions close to the boundary and excitation points. For high frequency vibrations of finite plates of arbitrary shape, for points within an effective radius from the excitation point the response may be replaced by that of the infinite plate; this is confirmed from the comparison of the modal solution of the simply supported rectangular plate with that of an infinite plate. This effective radius increases as the frequency becomes larger, since reflected waves from the boundary and near field effects are confined to narrower regions near the boundary.