Calculation of the natural vibrations of elastic cylinders of finite length
Abstract
In the proposed formulation of the natural vibration problem for finite elastic homogeneous isotropic cylinders, the solution is sought in the form of a series of functions which form an infinite dimensional linearly dependent system. The system of functions describes normal waves with a continuous frequency spectrum, propagating in an infinite cylinder with a stressfree surface. The approach is verified by applying it to the special case of the axisymmetric flexural vibrations of circular disks.
 Publication:

Akademiia Nauk SSSR Doklady
 Pub Date:
 July 1976
 Bibcode:
 1976DoSSR.229..334I
 Keywords:

 Bending Vibration;
 Circular Cylinders;
 Disks (Shapes);
 Elastic Cylinders;
 Free Vibration;
 Structural Vibration;
 Bessel Functions;
 Circular Plates;
 Elastic Waves;
 Isotropic Media;
 Poisson Ratio;
 Resonant Frequencies;
 Stress Tensors;
 Thin Plates;
 Wave Propagation;
 Physics (General)