CONSTRAINED LAYER DAMPING IN FINITE SHEARING DEFORMATIONS

✍ Scribed by JANG-HORNG YU; R.C. BATRA

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 121 KB
• Volume: 229
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1999.2364

✦ Synopsis

We analyze the damping induced by a homogeneous and isotropic viscoelastic layer embedded between a rigid solid cylinder of radius r and a homogeneous and isotropic elastic hollow cylinder of inner and outer radii r and r respectively. The composite cylinder is deformed by holding the inner cylinder "xed and applying a periodic displacement " sin t to the outermost cylindrical surface. We assume that the length of the cylinder is very large as compared to r . Thus, the deformations are assumed to be functions of the radial co-ordinate r and time t. We use a set of orthonormal cylindrical basis vectors to describe deformations of the viscoelastic and elastic layers which are presumed to be made of incompressible materials. Also, the e!ect of inertia forces has been assumed to be negligible.

In the absence of body forces, quasistatic deformations of the viscoelastic and elastic layers are governed by the following equations expressing the balance of linear momentum: