Ghayesh, Mergen H., Amabili, Marco and Farokhi, Hamed (2013) Nonlinear forced vibrations of a microbeam based on the strain gradient elasticity theory. International Journal of Engineering Science, 63. pp. 52-60. ISSN 0020-7225
Full text not available from this repository.Abstract
The nonlinear forced vibrations of a microbeam are investigated in this paper, employing the strain gradient elasticity theory. The geometrically nonlinear equation of motion of the microbeam, taking into account the size effect, is obtained employing a variational approach. Specifically, Hamilton's principle is used to derive the nonlinear partial differential equation governing the motion of the system which is then discretized into a set of second-order nonlinear ordinary differential equations (ODEs) by means of the Galerkin technique. A change of variables is then introduced to this set of second-order ODEs, and a new set of ODEs is obtained consisting of first-order nonlinear ordinary differential equations. This new set is solved numerically employing the pseudo-arclength continuation technique which results in the frequency-response curves of the system. The advantage of this method lies in its capability of continuing both stable and unstable solution branches.
Item Type: | Article |
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Uncontrolled Keywords: | Microbeam; Nonlinear dynamics; Strain gradient elasticity; Stability |
Subjects: | H300 Mechanical Engineering |
Department: | Faculties > Engineering and Environment > Mechanical and Construction Engineering |
Depositing User: | Paul Burns |
Date Deposited: | 31 Aug 2018 09:26 |
Last Modified: | 11 Oct 2019 19:30 |
URI: | http://nrl.northumbria.ac.uk/id/eprint/35534 |
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