Dynamic Instability of a Three-Layer Conical Shell with Honeycomb Structure Made by Additive Technologies

A mathematical model of the dynamic instability a three-layer conical shells with honeycomb structure made using additive technologies has been obtained. Dynamic is recognized as interaction shell supersonic gas flow. The middle layer that homogenized into an orthotropic homogeneous medium. top and bottom layers are carbon fiber. vibrations described by fifteen unknowns. Each five unknowns: three projections displacements surface two rotation angles normal surface. high-order shear theory used to describe deformation state structure. relation between stresses strains expressed power expansion in transverse coordinate up its cubic terms. To obtain system ordinary differential equations describing instability, method given forms used. assess characteristic indicators calculated solving generalized problem eigenvalues. natural studied Rayleigh-Ritz method. minimum frequency cantilevered observed when number waves circumferential direction 6. It also clamped on both sides 1. properties trivial equilibrium numerical simulation. Shells analyzed. shown critical pressure dependence Mach angle attack studied. established increase attack, decreases.