ON THE INFLUENCE OF BOUNDARY CONDITIONS ON THE DEPENDENCE AMPLITUDE-FREQUENCY OF NON-LINEAR FLUTTER TYPE OSCILLATIONS OF RECTANGULAR PLATE AT CRITICAL SPEED
Journal Title: Հայաստանի գիտությունների ազգային ակադեմիայի տեղեկագիր․ Մեխանիկա - Year 2016, Vol 69, Issue 4
Abstract
The problem of nonlinear oscillations of an isotropic rectangular plate in a supersonic gas flow is examined. The study was conducted taking into account both types of nonlinearities: wind (quadratic and cubic) and geometric (cubic). It is known that nonlinear dependence of the frequency on the amplitude of the oscillations of the plate in absence of flowing stream has a hard character, i.e. with increasing amplitude the frequency increases. In this paper it is established that the presence of flowing stream may cause both quantitative and qualitative changes of the character of noted monotonically increasing dependence. The influence of boundary conditions along the tangential directions of simply supported plate on the dependence amplitude-frequency of non-linear flutter type oscillations at critical speeds is investigated in this paper. It is shown that transmission from one type of examined dependence to another can be controlled as via the appropriate choice of both geometrical and physical parameters of aeroelastic system, as well as via the change of boundary conditions.
Authors and Affiliations
Rafayel Saghoyan
On the stability of asting force of the systems of differential equation with time lags.
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Especial features of the theory of shells from modern materials.
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On the solution of certain «triple» equations with trigonometrical functions.
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Some problems on the torsion of the truncated cone.
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On the Applicability of the Hypothesis of Kirchhoff in the Theory of Anisotropic Plates.
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