Nonlinear modes of motion of thin circular cylindrical shells (Q2760814)

From MaRDI portal





scientific article; zbMATH DE number 1682321
Language Label Description Also known as
English
Nonlinear modes of motion of thin circular cylindrical shells
scientific article; zbMATH DE number 1682321

    Statements

    0 references
    13 December 2001
    0 references
    Krylov - Bogolyubov method
    0 references
    Bubnov - Galerkin method
    0 references
    free flexural vibrations
    0 references
    simply supported shell
    0 references
    Nonlinear modes of motion of thin circular cylindrical shells (English)
    0 references
    Free flexural vibrations of a simply supported shell are studied within the framework of the nonlinear theory of flexible shallow shells. It is assumed that large-amplitude flexural vibrations are coupled with radial vibrations of the shell. Modal equations are derived by the Bubnov - Galerkin method. Periodic solutions are obtained by the Krylov - Bogolyubov method. The skeleton curve of the soft type obtained using a nonlinear finite-dimensional shell model agrees with available experimental data.
    0 references

    Identifiers