Vibration Analysis of Micro-Plate Using Modified Cosserat Theory and Differential Quadrature Method

Xiao Ming Wang; Fei Wang; Xue Zeng Zhao; Da Lei Jing

doi:10.4028/www.scientific.net/AMR.211-212.425

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 211-212Vibration Analysis of Micro-Plate Using Modified...

Vibration Analysis of Micro-Plate Using Modified Cosserat Theory and Differential Quadrature Method

Abstract:

The scale effects on free vibration of micro-plate under the different boundary conditions are studied in this paper. The vibrating differential equation is presented based on modified Cosserat theory and Hamilton principle .The numerical solution is obtained using differential quadrature method. The results show that scale effects is highly significant on the natural frequency when characteristic length and thickness are close, and the natural frequencies increase along with the increase of characteristic length. Additionally, the thickness has significant influence on scale effects and the aspect ratio doesn’t affect.

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Periodical:

Advanced Materials Research (Volumes 211-212)

Pages:

425-429

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.211-212.425

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Online since:

February 2011

Authors:

Xiao Ming Wang, Fei Wang, Xue Zeng Zhao, Da Lei Jing

Keywords:

DQM, Micro-Plate, Modified Cosserat Theory, Scale Effect

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