Lateral Free Vibration of Micro-Rods Using a Nonlocal Continuum Approach
Abstract - 333
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Keywords

Micro-rod
Free vibration
Vibration mode
Natural frequency
Nonlocal continuum

How to Cite

Xie, F., Zhang, N., Chen, C., & Li, C. . (2022). Lateral Free Vibration of Micro-Rods Using a Nonlocal Continuum Approach. Journal of Advances in Applied & Computational Mathematics, 9, 157–167. https://doi.org/10.15377/2409-5761.2022.09.12

Abstract

The lateral free vibration of micro-rods initially subjected to axial loads based on a nonlocal continuum theory is considered. The effects of nonlocal long-range interaction fields on the natural frequencies and vibration modes are examined. A simply supported micro-rod is taken as an example; the linear vibration responses are observed by two different methods, including the separation of variables and multiple scales analysis. The relations between the vibration mode and dimensionless coordinate and the relations between natural frequencies and nonlocal parameters are analyzed and discussed in detail. The numerical comparison shows that the theoretical results by two different approaches have a good agreement, which validates the present micro-rod model that can be used as a component of the micro-electromechanical system.

https://doi.org/10.15377/2409-5761.2022.09.12
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Copyright (c) 2022 Feng Xie, Ning Zhang, Chenshu Chen, Cheng Li