Nonlinear vibration of nanobeams under electrostatic force based on the nonlocal strain gradient theory
| Autor: | Van-Hieu Dang, Dong-Anh Nguyen, Minh-Quy Le, The-Hung Duong |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Physics
Partial differential equation Mechanical Engineering Nonlinear vibration Mathematical analysis Motion (geometry) 02 engineering and technology 021001 nanoscience & nanotechnology Strain gradient Nonlinear system 020303 mechanical engineering & transports 0203 mechanical engineering Mechanics of Materials Solid mechanics General Materials Science 0210 nano-technology Galerkin method Differential (mathematics) |
| Zdroj: | International Journal of Mechanics and Materials in Design. 16:289-308 |
| ISSN: | 1573-8841 1569-1713 |
| Popis: | The nonlinear vibration of a nanobeam under electrostatic force is investigated through the nonlocal strain gradient theory. Using Galerkin method, the partial differential equation of motion is reduced to an ordinary nonlinear differential one. The equivalent linearization method with a weighted averaging and a variational approach are used independently to establish the frequency–amplitude relationship under closed-forms for comparison purpose. Effects of material and operational parameters on the frequency ratio (the ratio of nonlinear frequency to linear frequency), on the nonlinear frequency, and on the stable configuration of the nanobeam are studied and discussed. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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