| Autor: |
Aguiar, Daniella M. O., Silva, Frederico M. A., Soares, Renata M. |
| Předmět: |
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| Zdroj: |
Mathematics in Engineering, Science & Aerospace (MESA); 2024, Vol. 15 Issue 3, p699-711, 13p |
| Abstrakt: |
This work investigates the pressure-displacement relationship in the static model, and the natural frequencies and the non-linear frequency-amplitude relationships (backbones curves) in the dynamic model of simply supported circular cylindrical shells composed of isotropic, homogeneous. incompressible and hyperelastic material. Sanders-Koiter's nonlinear shell theory and hyperelastic constitutive models, such as Neo-Hookean and Mooney-Rivlin, are applied to develop a numerical model with bc~th geometrical and physical nonlinearities. For each constitutive models, the energy density function is taken by a Taylor's series expansion up to the fourth order wilhout losing nonlinear physical characteristics. The set of discretized nonlinear equilibrium equations is obtained by applying the Rayleigh-Ritz method and the Euler-Lagrange equations. For that, the Fourier series, which atterIds the boundary conditions of the cylindrical shell. is used to describe the cylindrical shell's displacement fields. The influence of the initial geometrical imperfection. the shell's geometry. and the constitutive models on the natural frequencies and the backbone curves are conducted. It is observed in the presented numerical results that the amplitude of the geometrical imperfections changes the cylindrical shell's natural frequency and backbone curves, indicating that the nonlinear dynamical behavior is dependent on this parameter. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
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