Abstract:
The three-dimensional problem of calculating the Cosserat spectrum of the first boundary-value problem of elasticity for a body of revolution is considered. Using grids containing 900 and 3600 nodes, it is shown that the sequence of eigenvalues for a sphere found by E. Cosserat and F. Cosserat does not describe the entire range of eigenvalues.
Keywords:
Cosserat spectrum, eigenvalue problem, numerical algorithm without saturation.
Citation:
S. D. Algazin, “Cosserat spectrum of the first boundary-value problem of elasticity”, Prikl. Mekh. Tekh. Fiz., 54:2 (2013), 138–147; J. Appl. Mech. Tech. Phys., 54:2 (2013), 287–294