摘要
We analyze thickness-stretch vibrations of a plate of hexagonal crystal carrying an array of micro-rods with their bottoms fixed to the top surface of the plate.The rods undergo longitudinal vibrations when the crystal plate is in thickness-stretch motion.The plate is modeled by the theory of anisotropic elasticity.The rods are modeled by the one-dimensional structural theory for extensional vibration of rods.A frequency equation is obtained and solved using perturbation method.The effect of the rod array on the resonant frequencies of the crystal plate is examined.The results are potentially useful for using thickness-stretch modes of crystal plates to measure the mechanical properties of microrod arrays.
We analyze thickness-stretch vibrations of a plate of hexagonal crystal carrying an array of micro-rods with their bottoms fixed to the top surface of the plate. The rods undergo longitudinal vibrations when the crystal plate is in thickness-stretch motion. The plate is modeled by the theory of anisotropic elasticity. The rods are modeled by the one-dimensional structural theory for extensional vibration of rods. A frequency equation is obtained and solved using perturbation method. The effect of the rod array on the resonant frequencies of the crystal plate is examined. The results are potentially useful for using thickness-stretch modes of crystal plates to measure the mechanical properties of microrod arrays.
基金
supported by the National Natural Science Foundation of China (Grant No. 10932004)
the Industrial Technology Research Program of the City of Ningbo (Grant No. 2007B10052)
the WONG K C Magna Fund of Ningbo University
