Finite Element Large Deflection Random Response Of Thermally Buckled Plates

✍ Scribed by J.E. Locke

• Publisher: Elsevier Science
• Year: 1993
• Tongue: English
• Weight: 333 KB
• Volume: 160
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1993.1025

✦ Synopsis

The governing non-linear equations of motion are derived for a rectangular isotropic plate subjected to a combined thermal-acoustic loading. The thermal loading is taken to be a steady state temperature distribution, and the acoustic loading is considered to be a stationary Gaussian pressure with zero mean and uniform magnitude and phase over the plate surface. With these types of loads, the thermal-acoustic analysis can be separated into two problems: (1) thermal post-buckling; and (2) random vibration of the thermally buckled plate. Since both analyses are non-linear, iterative techniques are used to solve each. For the random vibration analysis, the method of equivalent linearization is used; both auto- and cross-correlation terms are included. Results obtained using the present formulation are compared with previous classical equivalent linearization results.