Axisymmetric Free Vibration of Nano-sized Multi-layered Isotropic Elastic Spherical Shells
The classical continuum mechanics is inapplicable to those size-dependent problems of micro/nano structures.A size-dependent nano-sized multi-layered spherical shell model is built for solving vibration problems of nano-sized multi-layered spherical shells,and the axisymmetric free vibration problem of the shell has been solved by using state-space method and nonlocal elasticity theory.The silver and gold nanoparticles of three radius cases have been used as computation examples and the computation outcomes are compared with those of low frequency Raman scattering experiments.The results show that the computational values of the free vibration frequency of the nanoparticles are in good agreement with experimental ones,providing that the radius of the nano-sized particles was used as the internal characteristic length of the material.It is promising that the above-mentioned mechanical model is applicable for vibration analysis of nano targeted ultrasound contrast agent or of other nano-sized multi-layered shell structures.
万方数据
维普
