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Nonlinear Dynamic Behavior of Porous and Imperfect Bernoulli-Euler Functionally Graded Nanobeams Resting on Winkler Elastic Foundation
| Content Provider | MDPI |
|---|---|
| Author | Penna, Rosa Feo, Luciano |
| Copyright Year | 2020 |
| Description | Nonlinear free vibrations of functionally graded porous Bernoulli–Euler nano-beams resting on an elastic foundation through a stress-driven nonlocal elasticity model are studied taking into account von Kármán type nonlinearity and initial geometric imperfection. By using the Galerkin method, the governing equations are reduced to a nonlinear ordinary differential equation. The closed form analytical solution of the nonlinear natural flexural frequency is then established using the Hamiltonian approach to nonlinear oscillators. Several comparisons with existing models in the literature are performed to validate the accuracy and reliability of the proposed approach. Finally, a numerical investigation is developed in order to analyze the effects of the gradient index coefficient, porosity volume fraction, initial geometric imperfection, and the Winkler elastic foundation coefficient, on the nonlinear flexural vibrations of metal–ceramic FG porous Bernoulli–Euler nano-beams. |
| Starting Page | 56 |
| e-ISSN | 22277080 |
| DOI | 10.3390/technologies8040056 |
| Journal | Technologies |
| Issue Number | 4 |
| Volume Number | 8 |
| Language | English |
| Publisher | MDPI |
| Publisher Date | 2020-10-20 |
| Access Restriction | Open |
| Subject Keyword | Technologies Mechanical Engineering Nonlinear Flexural Vibrations Functionally Graded Porous Nanobeams Nonlocal Elasticity Stress-driven Formulation |
| Content Type | Text |
| Resource Type | Article |
