期刊
APPLIED SCIENCES-BASEL
卷 12, 期 1, 页码 -出版社
MDPI
DOI: 10.3390/app12010230
关键词
nonlocal elasticity theory; rotating nano-annular plates; Kirchhoff plate theory; Mindlin plate theory; Reddy plate theory
类别
资金
- National Natural Science Foundation of China [11572210]
This paper investigates the free vibration behaviors of rotating nano-annular plates and derives the motion equations. The effects of nonlocal parameter, temperature change, inner and outer radius ratio, and rotational velocity on the vibration frequencies are analyzed using numerical examples. The results of this study are of great significance for the further development of this field.
Rotating machinery has significant applications in the fields of micro and nano meters, such as nano-turbines, nano-motors, and biomolecular motors, etc. This paper takes rotating nano-annular plates as the research object to analyze their free vibration behaviors. Firstly, based on Kirchhoff plate theory, Mindlin plate theory, and Reddy plate theory, combined with nonlocal constitutive relations, the differential motion equations of rotating functionally graded nano-annular plates in a thermal environment are derived. Subsequently, the numerical method is used to discretize and solve the motion equations. The effects of nonlocal parameter, temperature change, inner and outer radius ratio, and rotational velocity on the vibration frequencies of the nano-annular plates are analyzed through numerical examples. Finally, the relationship between the fundamental frequencies and the thickness-to-radius ratio of the nano-annular plates of clamped inner and outer rings is discussed, and the differences in the calculation results among the three plate theories are compared.
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