| Abstract: | Conclusions 1. The number of natural vibration frequencies in any frequency interval for an empty cylindrical shell increases in direct proportion to the second power of the interval size, and for a shell with filler — in direct proportion to the third power of it.2. The widest (and also located at the smallest frequencies) dynamical instability region of a cylindrical shell with elastic filler corresponds to nonaxisymmetrical modes of wave formation.3. The limiting transition in the equations of this paper in the case of the frequency of the driving force tending to zero results in an expression for the critical static force for a shell with an incompressible filler. Numerical calculations in this case show, in particular, an increase of the critical force upon an increase in the modulus of elasticity of the filler, which has been noted in a number of the papers of other authors.Institute of Polymer Mechanics, Academy of Sciences of the Latvian SSR, Riga. P. Stuchki Latvian State University, Riga. Translated from Mekhanika Polimerov, No. 2, pp. 263–269, March–April, 1977. |
