{"id":18643,"date":"2024-11-20T11:14:08","date_gmt":"2024-11-20T11:14:08","guid":{"rendered":"https:\/\/aerospacerepository.org\/?p=18643"},"modified":"2024-11-20T11:14:08","modified_gmt":"2024-11-20T11:14:08","slug":"influence-of-the-boundary-layer-on-flutter-of-elastic-plate-in-supersonic-gas-flow","status":"publish","type":"post","link":"https:\/\/aerospacerepository.org\/index.php\/2024\/11\/20\/influence-of-the-boundary-layer-on-flutter-of-elastic-plate-in-supersonic-gas-flow\/","title":{"rendered":"INFLUENCE OF THE BOUNDARY LAYER ON FLUTTER OF ELASTIC PLATE IN SUPERSONIC GAS FLOW"},"content":{"rendered":"\n<p><strong>Vsevolod O. Bondarev, Vasily V. Vedeneev<\/strong><\/p>\n\n\n\n<p><strong>DOI Number: N\/A<\/strong><\/p>\n\n\n\n<p><strong>Conference number: IFASD-2015-168<\/strong><\/p>\n\n\n\n<p>Panel \ufb02utter is an aeroelastic instability of skin panels, which leads to excessive noise generation and their fatigue damage. Although linear stability of panels in uniform \ufb02ow is studied in detail, the in\ufb02uence of the boundary layer is still an open question. Most studies of panel \ufb02utter in the presence of the boundary layer are devoted to (1\/7)th power velocity law and yield stabilising effect of the boundary layer. Recently Vedeneev (J. Fluid Mech., vol. 736,2013, pp. 216\u2013249) considered inviscid shear layer with arbitrary velocity and temperature law, and showed that for generalized convex boundary layer pro\ufb01le, the decrease of the growth rates of \u201csupersonic\u201d perturbations (responsible for single mode panel \ufb02utter) is accompanied by destabilisation of \u201csubsonic\u201d perturbations that are neutral in uniform \ufb02ow. More surprising result obtained is that for the boundary layer pro\ufb01le with generalised in\ufb02ection point the effect of the layer is destabilising even for \u201csupersonic\u201d perturbations. However, these results were obtained by using the long-wave approximation of the Rayleigh equation, which is not always applicable to growing waves. To investigate short waves, in the \ufb01rst part of this study we solve the Rayleigh equation numerically and investigate the inviscid stability of short-wave perturbation of elastic plate in the presence of the boundary layer. We show that the short waves can have even larger growth rates than the long-wave approximation predicts. In the second part of the work, the viscous disturbances are also taken into account, i.e. large \ufb01nite Reynolds numbers are considered. We use asymptotic expansion for viscous and temperature solutions as R \u2192 \u221e and investigate their in\ufb02uence on the unsteady pressure acting on the plate. It is shown that there exist boundary layer pro\ufb01les so that \ufb01niteness of the Reynolds number yields additional increase of the growth rate comparing to both uniform \ufb02ow and inviscid shear layer.<\/p>\n\n\n\n<p><a href=\"https:\/\/aerospacerepository.org\/wp-content\/uploads\/2024\/11\/IFASD-2015-168.pdf\">Read the full paper here<\/a><\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p><b>Vsevolod O. Bondarev, Vasily V. Vedeneev<\/b><\/p>\n<p>DOI Number: N\/A<\/p>\n<p>Conference number: IFASD-2015-168<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2413,2419],"tags":[1972,539,2725],"class_list":["post-18643","post","type-post","status-publish","format-standard","hentry","category-1-ifasd-2015","category-computational-aeroelasticity-1-ifasd-2015","tag-aeroelasticity","tag-boundary-layer","tag-panel-utter","category-2413","category-2419","description-off"],"_links":{"self":[{"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/posts\/18643","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/comments?post=18643"}],"version-history":[{"count":1,"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/posts\/18643\/revisions"}],"predecessor-version":[{"id":18645,"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/posts\/18643\/revisions\/18645"}],"wp:attachment":[{"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/media?parent=18643"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/categories?post=18643"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/tags?post=18643"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}