Journal of Applied Mathematics 
Volume 2005 (2005), Issue 4, Pages 425-451
doi:10.1155/JAM.2005.425

A general asymptotic dynamic model for Lipschitzian elastic curved rods

Rostislav Vodák

 Department of Mathematical Analysis and Applications of Mathematics, Faculty of Science, Palacky University, Tř. Svobody 26, Olomouc 772 00, Czech Republic
Revised 15 November 2005

Abstract

We study the asymptotic behaviour of solutions to the linear evolution problem for clamped curved rods with the small thickness ε under minimal regularity assumptions on the geometry. In addition, nonconstant density of the curved rods is considered.