Mathematical Model of Deformation of an Orthotropic Shell Under Blast Loading

This paper proposes a mathematical model of the deformation of a thin-walled shell structure under dynamic loading, specifically, blast loading. To account for the damping of the resulting vibrations, the author’s previously proposed model was modified by adding a Rayleigh dissipation function to the Euler - Lagrange equations. The mathematical model also accounts for geometric nonlinearity, transverse shear, and material orthotropy. The software implementation performed in Maple. To demonstrate the applicability of the developed model, examples of calculations of shallow doubly curved shells under blast loading of varying intensities and with different damping coefficients in the Rayleigh dissipation function are provided.