| Abstract: | Conclusions 1. The spectrum of the eigenfrequencies and dynamical instability regions of a shell-filler system breaks up into two infinite spectra for each mode of wave formation; the first of them is determined by the shear modulus of the filler material, and the second — by the volume deformation modulus. The second spectrum is absent for incompressible fillers.2. It has been shown that taking tangential interactions into account has a strong effect on the arrangement and width of the dynamical instability regions belonging to the first spectrum and hardly changes the arrangement and widths of the regions of the second spectrum.3. As a result of the limiting transition as the frequency of the driving force tends to zero, expressions are obtained from the formulas of this paper for calculating the static stability of a shell with an incompressible filler. The numerical results obtained for this case correspond to results given in the literature.Institute of Polymer Mechanics, Academy of Sciences of the Latvian SSR, Riga. P. Stuchki Latvian State University, Riga. Translated from Mekhanika Polimerov, No. 3, pp. 503–509, May–June, 1977. |
