engleski

One-Dimensional Eigenvalue Problem for Curved Rods

In this work we derive a one-dimensional eigenvalue problem for curved rods. We start from the three-dimensional eigenvalue problem for the linearized elastic body. By use of asymptotic analysis, passing the thickness of the rod to zero, the one-dimensional eigenvalue problem is obtained. The appropriate convergence of eigenvalues and eigenfunctions is proved.

linearized elasticity; eigenvalue problem; one-dimensional model

nije evidentirano