Multi-parametric analysis of the lowest natural frequencies of strongly inhomogeneous elastic rods

作者：Kaplunov Julius^*; Prikazchikov Danila; Sergushova Olga

来源：Journal of Sound and Vibration, 2016, 366: 264-276.

DOI：10.1016/j.jsv.2015.12.008

• composite rod
• contrast
• low frequency

The results of a multi-parametric analysis of the near-rigid body motions of a three component strongly inhomogeneous elastic rod are presented. It is demonstrated that the values of the associated lowest natural frequencies tend to zero at large/small ratios of material and geometric parameters. The low-frequency behaviour is classified into global and local regimes and the general conditions supporting global low-frequency regimes are derived. As an example, a rod with piecewise uniform properties is considered. A perturbation procedure oriented to a more general setup is developed.

• 出版日期2016-3-31