Department of Mechanical and Materials Engineering, The University of Western Ontario, London, ON, Canada.
Nanotechnology. 2011 Jun 17;22(24):245703. doi: 10.1088/0957-4484/22/24/245703. Epub 2011 Apr 20.
In this work, the influence of surface effects, including residual surface stress, surface elasticity and surface piezoelectricity, on the vibrational and buckling behaviors of piezoelectric nanobeams is investigated by using the Euler-Bernoulli beam theory. The surface effects are incorporated by applying the surface piezoelectricity model and the generalized Young-Laplace equations. The results demonstrate that surface effects play a significant role in predicting these behaviors. It is found that the influence of the residual surface stress and the surface piezoelectricity on the resonant frequencies and the critical electric potential for buckling is more prominent than the surface elasticity. The nanobeam boundary conditions are also found to influence the surface effects on these parameters. This study also shows that the resonant frequencies can be tuned by adjusting the applied electrical load. The present study is envisaged to provide useful insights for the design and applications of piezoelectric-beam-based nanodevices.
在这项工作中，通过使用欧拉-伯努利梁理论，研究了表面效应（包括残余表面应力、表面弹性和表面压电性）对压电纳米梁振动和屈曲行为的影响。通过应用表面压电模型和广义杨拉普拉斯方程来考虑表面效应。结果表明，表面效应在预测这些行为方面起着重要作用。发现残余表面应力和表面压电性对共振频率和屈曲的临界电势能的影响比表面弹性更为显著。还发现纳米梁边界条件对这些参数的表面效应有影响。本研究还表明，通过调整施加的电负载可以调节共振频率。本研究旨在为基于压电梁的纳米器件的设计和应用提供有用的见解。
