| Abstrakt: |
The aim of this study is to investigate the effects of nonlinear geometry and a nonlinear Pasternak medium on the free vibration and the mechanical buckling of viscoelastic open-cell foam beams using a semianalytical method. The kinematic relation is considered by the Euler–Bernoulli hypothesis and von Karman strains, while constitutive relations are defined via the separable-kernel framework and Boltzmann–Volterra superposition principles. A nonlinear nonsymmetric porosity distribution through the thickness direction is simulated using a power-law relationship. The Galerkin method, variational method, and a numerical iterative algorithm are applied to solve two coupled partial differential equations with frequency-dependent coefficients. To verify our results, nonlinear frequencies and buckling loads of elastic beams, frequencies, and loss factors of viscoelastic beams are compared with available results and close correlation is observed. The influences of axial force, boundary condition, elastic medium, and a frequency-dependent constitutive relation on vibrational characteristics are scrutinized through parametric studies. [ABSTRACT FROM AUTHOR] |
Full text from SpringerLink