Pmm Journal of Applied Mathematics and Mechanics最新文献_第8页

Injection of boiling liquid carbon dioxide into a stratum, accompanied by replacement of methane in hydrate by carbon dioxide 把沸腾的液态二氧化碳注入地层，同时用二氧化碳代替水合物中的甲烷

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2016-01-01 DOI: 10.1016/j.jappmathmech.2017.02.006

M.K. Khasanov

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引用次数: 6

The three-dimensional problem on the mutual wear of a thin elastic layer and a punch sliding on it 研究了薄弹性层与在其上滑动的冲头相互磨损的三维问题

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2016-01-01 DOI: 10.1016/j.jappmathmech.2016.05.012

I.A. Soldatenkov

引用次数: 1

Optimal conditions with chattering in the inverted two-link pendulum control problem 带抖振的倒立双连杆摆控制问题的最优条件

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2016-01-01 DOI: 10.1016/j.jappmathmech.2016.05.004

M.N. Ronzhina

引用次数: 3

Propagation of waves in a layer of a viscoelastic material underlying a layer of a moving fluid 波在流动流体层下面的粘弹性材料层中的传播

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2016-01-01 DOI: 10.1016/j.jappmathmech.2016.07.004

V.V. Vedeneev

{"title":"Propagation of waves in a layer of a viscoelastic material underlying a layer of a moving fluid","authors":"V.V. Vedeneev","doi":"10.1016/j.jappmathmech.2016.07.004","DOIUrl":"10.1016/j.jappmathmech.2016.07.004","url":null,"abstract":"<div><p><span>The motion of waves in a layer of a viscoelastic material of finite thickness with a layer of an ideal incompressible fluid<span> moving over it is considered in connection with the problem of the turbulent friction reduction in a boundary layer by using compliant coatings. The dispersion equation is obtained, and the behaviour of its roots is analysed. It is proved that when the flow velocity exceeds a certain value, two types of instability appear: a weaker instability, which is caused by the viscous properties of the material and vanishes in the purely elastic case, and a stronger instability, which is present in the case of an elastic material. The stability criteria of short and long waves are found in analytical form, and it is shown numerically for both types of instability that among all wavelengths the smallest critical velocity is achieved on short waves, whose stability criterion thus gives the stability criteria of all waves. The </span></span>resonance wavelengths at which the interface undergoes strictly vertical vibrations are analysed. A resonance wavelength equal to 3–5 thicknesses is scarcely influenced by the fluid; nevertheless, a second resonance with a wavelength equal to 5–20 thicknesses appears when the fluid is present. The results obtained are used to estimate the influence of a moving fluid on the effectiveness of compliant coatings used to reduce turbulent friction.</p></div>","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"80 3","pages":"Pages 225-243"},"PeriodicalIF":0.0,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2016.07.004","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83199121","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 7

The Ishlinskii oscillator model in the Keldysh shimmy problem Keldysh摆振问题中的Ishlinskii振子模型

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2016-01-01 DOI: 10.1016/j.jappmathmech.2016.06.003

N.P. Plakhtienko , B.M. Shifrin

引用次数: 1

The controlled motion of a bicycle 自行车受控制的运动

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2016-01-01 DOI: 10.1016/j.jappmathmech.2016.06.004

G.M. Rozenblat

引用次数: 2

A qualitative analysis of sets of trajectories of mechanical systems 机械系统轨迹集的定性分析

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2016-01-01 DOI: 10.1016/j.jappmathmech.2016.05.005

V.I. Slyn’ko

引用次数: 0

The interaction of instabilities in a hydroelastic system 水弹性系统中不稳定性的相互作用

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2016-01-01 DOI: 10.1016/j.jappmathmech.2017.02.007

M.A. Ilgamov

引用次数: 12

The motion of a symmetric gyrostat with two rotors 带有两个转子的对称陀螺仪的运动

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2016-01-01 DOI: 10.1016/j.jappmathmech.2016.06.002

E.K. Shchetinina

引用次数: 5

Mathematical model of the formation of a gas hydrate on the injection of gas into a stratum partially saturated with ice 向部分饱和冰层注入气体形成天然气水合物的数学模型

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2016-01-01 DOI: 10.1016/j.jappmathmech.2016.05.009

I.K. Gimaltdinov, M.K. Khasanov

引用次数: 18