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首页> 外文期刊>Zeitschrift fur Angewandte Mathematik und Mechanik >Stability of Viscoelastic Bodies Accounting Aging and Interaction with Fluid or Gas
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Stability of Viscoelastic Bodies Accounting Aging and Interaction with Fluid or Gas

机译：粘弹性体的稳定性说明了老化以及与流体或气体的相互作用

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摘要

Dynamic and quasi-static stability of viscoelastic bodies (rods, plates, shells) of material with heredity compressed by longitudinal forces,supported at viscoelastic aging bases,and interacting with ideal fluid (or gas),is investigated. Following classes of problems are considered: dynamics of walls or bottom of the vessel with a fluid having free surface; oscillations of the walls of rectangular or circular cross section channel when the fluid or a gas flows through it (subsonic, transonic, supersonic regimes of motion); dynamics of viscoelastic elements of plane surface flown without detachment or by jet free unbounded stream; oscillations of the plates in supersonic gas flow. The solving of listed problems and the investigation of their stability is based on the using of Galerkin's method,conformal mappings, Laplace transform and on the construction of Lyapounov type functionals for differential and integrodifferential equations. The great number of investigations on stability of viscoelastic aging bodies, has been made in last decade. Information about them can be obtained from [1,2] where the vast bibliography is represented. Sufficiently complete review of works devoted to interaction of elastic bodies with fluid or gas, is given in monographs. In this work and in [5-13] presented are some author's results on stability of viscoelastic thin-walled structures accounting aging and aerohydrodynamic affect.
机译：研究了具有遗传力的材料的粘弹性体（棒，板，壳）的动态和准静态稳定性，该遗传在纵向力的作用下得到支撑，并在粘弹性老化基体上支撑并与理想的流体（或气体）相互作用。考虑以下类型的问题：带有自由表面的流体在容器壁或底部的动力学特性；当流体或气体流过时，矩形或圆形横截面的壁的振动（亚音速，跨音速，超音速运动状态）；平面表面的粘弹性元件的动力学，它没有脱离或没有自由射流的束缚流流动；超声气流中板的振动。所列问题的解决及其稳定性的研究是基于使用Galerkin方法，共形映射，Laplace变换以及微分和积分微分方程Lyapounov型泛函的构造。在最近十年中，对粘弹性老化体的稳定性进行了大量研究。关于它们的信息可以从[1,2]那里获得，这些文献代表了广大的书目。专着中给出了对弹性体与流体或气体相互作用的研究的充分完整的综述。在这项工作和[5-13]中提出了一些关于粘弹性薄壁结构稳定性的结果，这些结构考虑了老化和空气流体动力学的影响。

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