The coupled vibration characteristics of a spinning and axially moving composite thin-walled beam

ABSTRACT

This article focuses on the coupled vibration characteristics of a spinning and axially moving composite thin-walled beam. Dynamic equations of the coupled vibration problem are built by Hamilton's principle. Galerkin's method is employed to solve the equations. The combined effects of spinning angular speeds and axial speeds on natural frequencies of the beam are studied specifically. Some interesting conclusions about the critical axial speed and critical spinning angular speed are proposed. Numerical simulations are performed to discuss the influences of spinning angular speeds, axial speeds, length- and thickness-to-radius ratios and fiber orientation angles on vibration characteristics of the beam.

KEYWORDS:

• Composite thin-walled beam
• spinning and axially moving
• coupled vibration
• critical spinning angular speed
• critical axial speed

Funding

This research work was supported by the National Natural Science Foundation of China (grant nos. 11372257 and 11472064).