The spectrum of natural oscillations of an array of micro- or nanospheres on an elastic substrate

Victor A. Eremeyev (1) , Elena A. Ivanova (2) , Nikita F. Morozov (3) , S. E. Strochkov (4)

1 Institut für Mechanik
2 Department of Theoretical Mechanics
3 Elasticity Department
4 Southern Scientific Center

EREMEYEV et al. elastic shells of thickness h and radius R are attached (Fig. 1). We assume that the shells are attached to the plate (substrate) at the points x= xk, y= yk (k= 1, 2,... n). The spherical shells are considered as membranes loaded by a uniform internal hydrostatic pressure p. In the equilibrium state, the force resultants acting on the shell surface is everywhere the same: N1= N2= N= pR/2. This N value is in fact the surface tension, and the whole membrane can be considered as a spherical shell of equal ...

Domaines: Mécanique [physics.med-ph]

Victor A. Eremeyev, Elena A. Ivanova, Nikita F. Morozov, S. E. Strochkov. The spectrum of natural oscillations of an array of micro- or nanospheres on an elastic substrate. Doklady Physics, 2007, 52 (12), pp.699-702. ⟨hal-00826529⟩