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https://hdl.handle.net/2440/106251
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Type: | Journal article |
Title: | Nonlinear size-dependent dynamics of microarches with modal interactions |
Author: | Farokhi, H. Ghayesh, M. |
Citation: | Journal of Vibration and Control, 2016; 22(17):3679-3689 |
Publisher: | SAGE Publications |
Issue Date: | 2016 |
ISSN: | 1077-5463 1741-2986 |
Statement of Responsibility: | Hamed Farokhi and Mergen H Ghayesh |
Abstract: | This paper investigates the nonlinear dynamics of microarches with internal modal interactions; the nonlinear size-dependent motion characteristics are analyzed for the system with two-to-one and three-to-one internal resonances. The partial differential equation of motion is discretized into a set of second-order nonlinear ordinary differential equations via the application of the Galerkin scheme. The linear natural frequencies of the system are obtained by eliminating the nonlinearities; these are used to verify the occurrence of modal interactions. The nonlinear resonant dynamics are examined via the pseudo-arclength continuation technique for the systems with internal modal interactions. |
Keywords: | Microarches; modified couple stress; theory, nonlinear dynamics; stability |
Rights: | © The Author(s) 2015 |
DOI: | 10.1177/1077546314565439 |
Published version: | http://dx.doi.org/10.1177/1077546314565439 |
Appears in Collections: | Aurora harvest 3 Mechanical Engineering publications |
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