Hydroelastic Oscillations of a Circular Plate, Resting on Winkler Foundation

被引：8
|
作者：
Kondratov, D. V. [1 ]
Mogilevich, L. I. [2 ]
Popov, V. S. [2 ]
Popova, A. A. [2 ]
机构：
[1] Russian Presidential Acad Natl Econ & Publ Adm, 23-25 Sobornaya St, Saratov 410031, Russia
[2] Yuri Gagarin State Tech Univ Saratov, 77 Politech Skaya St, Saratov 410054, Russia
来源：
XI INTERNATIONAL SCIENTIFIC AND TECHNICAL CONFERENCE - APPLIED MECHANICS AND DYNAMICS SYSTEMS | 2018年 / 944卷
基金：
俄罗斯基础研究基金会;
关键词：
circular plate; hydroelastic oscillations; vibration stamp; viscous liquid; Winkler foundation; LIQUID; VIBRATIONS; DYNAMICS; WALLS; LAYER;
D O I：
10.1088/1742-6596/944/1/012057
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The forced hydroelastic oscillations of a circular plate resting on elastic foundation are investigated. The oscillations are caused by a stamp vibration under interaction with a plate through a thin layer of viscous incompressible liquid. The axis-symmetric problem for the regime of the steady-state harmonic oscillations is considered. On the basis of hydroelasticity problem solution the laws of plate deflection and pressure in the liquid are found. The functions of the amplitudes deflection distribution and liquid pressure along the plate are constructed. The presented mathematical model provides for investigating viscous liquid layer interaction dynamics with a circular plate resting on an elastic foundation. The above-mentioned model makes it possible to define the plate oscillations resonance frequencies and the corresponding amplitudes of deflection and liquid pressure, as well.
引用
收藏
页数：8
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