Abstract
New versions of formulas that specify the median surfaces of an ellipsoid, elliptical cylinder, and cone, which allow one to perform calculations without features of the definitional domains of the considered shells, are proposed. The algorithm for forming stiffness matrices of quadrangular curvilinear finite elements with eighteen degrees of freedom at a node is given. The designed algorithm is verified based on the example of the calculation of a circular cylinder using scalar and vector approximations of displacements. The efficiency of the vector approximation of displacement fields in calculations of the elliptical cylinder with different fastening conditions and its displacement as a rigid body is shown.
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