Non-linear vibrations of multi-layer orthotropic sandwich plates

✍ Scribed by R.M. Shahin

• Publisher: Elsevier Science
• Year: 1974
• Tongue: English
• Weight: 515 KB
• Volume: 36
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(74)80216-6

✦ Synopsis

A system of three non-linear partial differential equations, defining the finite amplitude free and forced vibrations of orthotropic multi-layer sandwich plates, is developed by using variational principles. The simultaneous equations involve the transverse deflections, a membrane stress function, and'a shear function. The plate consists ofn facings and (n -1) cores. The facings and the cores are orthotropic, of different thicknesses and/or materials. The existence of harmonic vibrations being assumed, the time variable is eliminated by employing a technique analogous to that used by Van der Pol [1]. For a simply supported plate, a double trigonometric series is used to reduce the remaining non-linear eigenvalue problem to a set of cubic equations. Newton's generalized method [2, 3] is used in solving these equations, and convergence proved to be quite rapid. The effect of face orthotropicity is studied and illustrated.