Mathematical Modeling of Hydroelastic Oscillations of the Stamp and the Plate, Resting on Pasternak Foundation

被引：5
作者：
Mogilevich, L. I. [1 ]
Popov, V. S. [1 ]
Popova, A. A. [1 ]
Christoforova, A. V. [2 ]
机构：
[1] Yuri Gagarin State Tech Univ Saratov, 77 Politech Skaya St, Saratov 410054, Russia
[2] Saratov NG Chernyshevskii State Univ, 83 Astrakhanskaya St, Saratov 410012, 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：
elastic plate; hydroelastic oscillations; vibration stamp; viscous liquid; Pasternak foundation; VIBRATION ANALYSIS; COMPOSITE PLATES; FLUID LAYER; DYNAMICS; LIQUID; WALLS; BEAM;
D O I：
10.1088/1742-6596/944/1/012081
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The forced oscillations of the elastic fixed stamp and the plate, resting on Pasternak foundation are studied. The oscillations are caused by pressure pulsation in liquid layer between the stamp and the plate. Pasternak model is chosen as an elastic foundation. The laws of the stamp movement, the plate deflection and pressure in the liquid are discovered on the basis of hydroelasticity problem analytical solution. The functions of amplitude deflection distribution and liquid pressure along the plate are constructed, as well as the stamp amplitude-frequency characteristic. The obtained mathematical model allows to investigate the dynamics of hydroelastic interaction of the stamp with the plate, resting on elastic foundation, to define resonance frequencies of the plate and the stamp and corresponding deflections amplitudes, as well as liquid presser amplitudes.
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页数：8
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