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.

引用

页数：8

共 50 条

[21] Analytical solution for a viscoelastic plate on a Pasternak foundation
Khazanovich, Lev
Levenberg, Eyal
ROAD MATERIALS AND PAVEMENT DESIGN, 2020, 21 (03) : 800 - 820
[22] Dynamic Response Analysis of Ribbed Plate Resting on Viscoelastic Pasternak Foundation via MLS Meshless Method
Peng, L. X.
He, X. C.
Mei, G. X.
Shen, Y. J.
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS, 2024, 24 (17)
[23] Buckling of thin skew isotropic plate resting on Pasternak elastic foundation using extended Kantorovich method
Hassan, Ahmed Hassan Ahmed
Kurgan, Naci
HELIYON, 2020, 6 (06)
[24] Vibration response of the exponential functionally graded material plate with variable thickness resting on the orthotropic Pasternak foundation
Kumar, V.
Singh, S. J.
Saran, V. H.
Harsha, S. P.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES, 2024, 52 (05) : 2841 - 2868
[25] A Moving Element Method for the Dynamic Analysis of Composite Plate Resting on a Pasternak Foundation Subjected to a Moving Load
Tan Ngoc Than Cao
Van Hai Luong
Hoang Nhi Vo
Xuan Vu Nguyen
Van Nhut Bui
Minh Thi Tian
Ang, Kok Keng
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2019, 16 (08)
[26] Hygrothermal modeling of the buckling behavior of sandwich plates with nanocomposite face sheets resting on a Pasternak foundation
Kiarasi, Faraz
Babaei, Masoud
Dimitri, Rossana
Tornabene, Francesco
CONTINUUM MECHANICS AND THERMODYNAMICS, 2021, 33 (04) : 911 - 932
[27] Hygrothermal modeling of the buckling behavior of sandwich plates with nanocomposite face sheets resting on a Pasternak foundation
Faraz Kiarasi
Masoud Babaei
Rossana Dimitri
Francesco Tornabene
Continuum Mechanics and Thermodynamics, 2021, 33 : 911 - 932
[28] A unified modeling method for dynamic analysis of GPL-reinforced FGP plate resting on Winkler-Pasternak foundation with elastic boundary conditions
Liu, Jincan
Deng, Xiaowei
Wang, Qingshan
Zhong, Rui
Xiong, Rui
Zhao, Jing
COMPOSITE STRUCTURES, 2020, 244
[29] SOME NOTES ON THE MATHEMATICAL THEORY OF A LOADED ELASTIC PLATE RESTING ON AN ELASTIC FOUNDATION
LIVESLEY, RK
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1953, 6 (01): : 32 - 44
[30] Nonlinear dynamic analysis of sandwich S-FGM plate resting on pasternak foundation under thermal environment
Singh, S. J.
Harsha, S. P.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2019, 76 : 155 - 179

← 1 2 3 4 5 →