метод сплайн-коллокации

Static Bending and Steady-State Vibrations of Thin Cylindrical Shells Under Local Load

Authors: Safonov R. A.

The spline collocation method is being used for solving static bending and steady-state vibrations ploblems for thin cylindrical shell under local loads. Maximum displacement values and first three resonance frequencies are given.

Spline-Collocation Method and its Modification in the Problems of Static Bending of Thin Orthotropic Rectangular Plate

Authors: Romakina О. М., Shevzova Y. V.

A numerical method for determining the stress-strain state (SSS) of a bended thin rectangular plate with non-classical boundary conditions is presented. Numerical results for three different materials can be used to estimate the influence of the material anisotropy and boundary conditions on its SSS.

 

On the Steady Transverse Vibrations of a Rectangular Orthotropic Plate

Authors: Romakina О. М.

The problem of the steady transverse vibrations of a rectangular orthotropic plate under the classical Kirchhoff theory assumptions is considered. Two-dimensional problem is reduced to one-dimensional via the modified spline-collocation method. One-dimensional problem is numerically solved with the stable discrete orthogonalization method. Numerical results for three resonance frequencies and plots for deformed middle-surface are presented for three types of boundary conditions on the edges.