Abstract:

The mathematical model of vibrations of a three-layered beam resting on Winkler foundation and interacting with a vibrating stamp through viscous incompressible liquid layer was carried out. The three-layered beam consists of two outer layers and incompressible lightweight filler between them. The three-layered beam kinematics is considered by means hypothesis of broken normal. The hydroelastic forced vibrations equation of three-layered beam resting on Winkler foundation and interacting with a vibrating stamp through viscous incompressible liquid layer was obtained. On the basis of plane hydroelasticity problem solution the laws of beam deflection and pressure in liquid layer are found. Frequency-dependent distribution functions of beam deflection amplitudes and fluid pressure along the channel are constructed. It is shown that these functions allow to define the resonant oscillation frequencies and to investigate the stress-strain state of three-layered beam, as well as, the hydrodynamic parameters of viscous liquid layer.

Keywords: hydroelasticity, three-layered beam, winkler foundation, viscous liquid, oscillations, vibrating stamp, viscous liquid