STABILITY AND VIBRATION OF INITIALLY STRESSED PLATES COMPOSED OF SPATIALLY DISTRIBUTED FIBER COMPOSITES

✍ Scribed by W.S. Kuo; J.H. Huang

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 449 KB
• Volume: 199
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1996.0629

✦ Synopsis

Three groups of elastic constants, defined as orthotropic constants, have been introduced in this paper, and utilizing these constants enables the transformed stiffness to be expressed in rather simple forms. To simulate spatial fiber orientation in a preferred direction, a distribution function controlled by two parameters is introduced. The equivalent composite elastic properties are then simulated by an aggregated model. Three special cases for fiber orientation have been discussed and the closed-form stiffnesses have bene obtained. Equations of motion for a composite plate in a general state of non-uniform initial stresses, where the effects of transverse shear and rotatory inertia are included, are derived by using Trefftz equations and the variational principle. Finally, the stability and vibration equations are solved for simply supported rectangular plates in a state of normal stresses plus an edge twisting stress. The effect of fiber orientation on the fundamental frequencies and buckling loads has been discussed.