AN EXACT ELASTODYNAMIC SOLUTION TO VIBRATION PROBLEMS OF A COMPOSITE STRUCTURE IN THE PLANE STRESS STATE

✍ Scribed by S. Karczmarzyk

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 258 KB
• Volume: 196
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1996.0469

✦ Synopsis

An elastodynamic, closed form, exact solution of the plane stress state problems of layered structures is presented. The solution has been derived by applying semi-inverse techniques and the method of superposition, within the linear theory of elastodynamics. As an example, the vibration problem of a layered cantilever beam with base excitation is considered. Several numerical results are given for a two-layer cantilever beam consisting of isotropic layers. It is also shown that the final form of the eigenvalue problem for the beam is a set of three coupled transcendental equations.