Laminated anisotropic gently sloping shells and plates subjected to nonsteady forces and various temperature effects

Abstract

We constructed a new and more accurate model of the state of stress and strain of laminated anisotropic shells and plates that takes into account the influence of dynamic factors on transverse shear strains, thermal strains in the transverse direction, and the non-steady nature of the deformation process. By the variational approach we obtained a system of equations of force-induced motion and the boundary conditions. After representation in the form of the slope deflection method the total order of the system is equal to 20 and does not depend on the number of layers. For rectangular laminated orthotropic pin-supported shells on analytical solution of the nonsteady-state problem of dynamics was obtained by expansion in modes. The results are compared with known three-dimensional solutions, and also with solutions based on other applied theories. The article shows that the introduction of additional desired functions of shear yields a more accurate state of stress and strain of a double-layered plate than the known models.