期刊
COMPOSITE STRUCTURES
卷 264, 期 -, 页码 -出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.compstruct.2021.113746
关键词
Magneto-electro-elastic nanostructures; Bi-directional functionally graded materials; Pasternak foundation; Asymmetric modes; Free vibration
资金
- National Natural Science Foundation of China [11902001, 11972245, 11802201]
- China Postdoctoral Science Foundation [2018M641643]
- Anhui Provincial Natural Science Foundation [1908085QA13, 1808085ME128]
- Middleaged Top-notch Talent and Innovative Team Support Programs of Anhui Polytechnic University
A novel model of bi-directional functionally graded materials nanobeams resting on the Pasternak foundation under the magneto-electro-elastic fields based on the Timoshenko beam theory is presented in this paper. The results show the influences of various factors on the dynamic characteristics, providing valuable insights for designing smart nanostructures constructed from multi-ferroic composites.
In the paper, a novel model of bi-directional (2D) functionally graded materials (FGMs) nanobeams resting on the Pasternak foundation under the magneto-electro-elastic (MEE) fields based on the Timoshenko beam theory is presented to investigate the dynamic interaction behavior. Taking the interaction between the 2D FGMs and MEE fields as well as the nonlocal elastic theory into account, the governing equations of the nanobeams resting on the Pasternak foundation are established by made use of the Hamilton's principle. The generalized differential quadrature method (GDQM) is put forward to discretize the dynamic model of the nanobeams and carried out the calculations of the natural frequencies and associated mode shapes. We can find that the asymmetric modes in the MEE nanobeams are dependent on the 2D FGMs, which is significantly different from the former research. Numerical examples reveal the influences of the foundation coefficients, length-thickness ratio, magneto-electro-mechanical loadings and material distributions on the dynamic characteristics in details. It is notable that the analytical results are beneficial for designing accurately the smart nanostructures constructed from multi-ferroic composites.
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