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Title: Vibrations and Stability of a Plate in Supersonic Flow Subjected to a Follower Force, and Having a Hinged External Support and a Resilient Attenuation Internal Support

Alternative title:

Drgania i stateczność płyty w opływie naddźwiękowym obciążonej siłą śledzącą z przegubową podporą zewnętrzną i wewnętrzną sprężysto-tłumiącą

Abstract:

The vibrations and stability of a plate having a finite length were considered in a flat supersonic flow, having adopted an assumption that one of the edges of the plate has a hinged support, and the other edge is free. Another support was located in an internal point of the plate and featured resilient attenuation properties. A compressive force, called the follower force, was applied within the plane of the plate in a direction tangent to the deformed surface of the plate. This way, a superficial system was forced in which two independent physical factors occurred and caused its self-excitation. Therefore the superficial system could be termed a ‘double self-excited system’. The solution of the equations of motion for the system was derived with a Laplace transformation. In the further part of the work, a numerical analysis was carried out for the conditions of the occurrence of self-excited vibrations in relation to the position of the internal support (the so-called plate overhang), the damping within the material of the plate and other parameters of the plate, including the resilient attenuation parameters of the internal support. For the adopted parameters, the results were tested for the calculations of the stability area limits and the instability of the system in plane γ1, σ. The forms of vibrations for a series of typical cases was determined.

Place of publishing:

Warszawa

Publisher:

Wojskowa Akademia Techniczna

Date created:

2010 r.0

Date submitted:

2018-12-28

Date issued:

2018-12-30

Extent:

B5

Identifier:

oai:ribes-88.man.poznan.pl:2531

Call number:

DOI 10.5604/01.3001.0012.7338

Electronic ISSN:

2720-5266

Print ISSN:

2081-5891

Language:

angielski

Rights holder:

Wojskowa Akademia Techniczna

Starting page:

127

Ending page:

148

Volume:

9

Keywords:

mechanics, aeroelasticity, computer calculations

Object collections:

Last modified:

Sep 18, 2025

In our library since:

Sep 18, 2025

Number of object content hits:

0

All available object's versions:

https://ribes-88.man.poznan.pl/publication/2839

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