ABSTRACT
Some important aspects of nonlinear dynamics of continual mechanical objects as well as their modeling, governing equations and computational approaches are addressed in references Awrejcewicz & Krysko (2003), Awrejcewicz et al. (2007), Awrejcewicz & Krysko(2008),Awrejcewiczetal. (2008),Sun&Zhang (2001). In our work the governing partial differential equations, either in hybrid form or regarding displacements,modelingof thestudiedshellsandplatesdynamics are derived through application of the Hamilton principle and applying the hypotheses of Kirchhoff, Timoshenko and Sheremetev-Pelekh. In other words the following assumptions are made: (i) a normal to a middle surface remains normal after deformation process; (ii) a normal rotates during deformation process; (iii) a normal being perpendicular to a middle shell surface is rotated and curved during deformation process.
