Nonlinear vibration of microbeams based on the nonlinear elastic foundation using the equivalent linearization method with a weighted averaging
Autor: | Minh-Quy Le, Dong-Anh Nguyen, Quang-Hai Ninh, Van-Hieu Dang |
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Rok vydání: | 2019 |
Předmět: |
Length scale
Physics Mechanical Engineering Mathematical analysis Foundation (engineering) Equations of motion Flexural rigidity 02 engineering and technology Microbeam 01 natural sciences Computer Science::Other Nonlinear system 020303 mechanical engineering & transports 0203 mechanical engineering Buckling Ordinary differential equation 0103 physical sciences 010301 acoustics |
Zdroj: | Archive of Applied Mechanics. 90:87-106 |
ISSN: | 1432-0681 0939-1533 |
Popis: | We investigate the nonlinear vibration of microbeams based on the nonlinear elastic foundation through the modified couple stress theory. The equivalent linearization method with a weighted averaging is used to solve approximately the ordinary differential equation that describes the equation of motion of the microbeam. The effects of length scale parameter, the flexural rigidity ratio, the slenderness ratio, the Winkler parameter, the Pasternak parameter and the nonlinear foundation parameter on the nonlinear vibration of the microbeam are studied and discussed. |
Databáze: | OpenAIRE |
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