{"id":18310,"date":"2024-11-18T09:29:55","date_gmt":"2024-11-18T09:29:55","guid":{"rendered":"https:\/\/aerospacerepository.org\/?p=18310"},"modified":"2024-11-18T09:29:56","modified_gmt":"2024-11-18T09:29:56","slug":"asymmetric-limit-cycle-oscillations-in-systems-with-symmetric-freeplay","status":"publish","type":"post","link":"https:\/\/aerospacerepository.org\/index.php\/2024\/11\/18\/asymmetric-limit-cycle-oscillations-in-systems-with-symmetric-freeplay\/","title":{"rendered":"Asymmetric limit cycle oscillations in systems with symmetric freeplay"},"content":{"rendered":"\n<p><strong>Grigorios Dimitriadis<\/strong><\/p>\n\n\n\n<p><strong>DOI Number: N\/A<\/strong><\/p>\n\n\n\n<p><strong>Conference number: IFASD-2015-009<\/strong><\/p>\n\n\n\n<p>In this paper, a simple 2D aeroelastic system with degrees of freedom in pitch, plunge and control surface de\ufb02ection is investigated with freeplay in the pitch degree of It is shown that this system features a \ufb01xed point at the origin as well as freedom. two anti-symmetric \ufb01xed points. Asymmetric limit cycles that span only two of the three piecewise linear subdomains of the phase plane can orbit these anti-symmetric \ufb01xed points. A single three-domain symmetric cycle and two two-domain cycles appear as a result of a grazing bifurcation occurring at the \ufb02utter speed of the underlying linear system. The two-domain cycles can undergo further fold, period doubling and torus bifurcations. They can cause both periodic and aperiodic oscillations, including highly chaotic responses at parameter values where they interact strongly.<\/p>\n\n\n\n<p><a href=\"https:\/\/aerospacerepository.org\/wp-content\/uploads\/2024\/11\/IFASD-2015-009.pdf\">Read the full paper here<\/a><\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p><b>Grigorios Dimitriadis<\/b><\/p>\n<p>DOI Number: N\/A<\/p>\n<p>Conference number: IFASD-2015-009<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2413,2417],"tags":[1991,2346,2097,698],"class_list":["post-18310","post","type-post","status-publish","format-standard","hentry","category-1-ifasd-2015","category-nonlinearities-uncertainties","tag-bifurcation","tag-freeplay","tag-limit-cycle-oscillations","tag-nonlinear-aeroelasticity","category-2413","category-2417","description-off"],"_links":{"self":[{"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/posts\/18310","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=18310"}],"version-history":[{"count":1,"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/posts\/18310\/revisions"}],"predecessor-version":[{"id":18312,"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/posts\/18310\/revisions\/18312"}],"wp:attachment":[{"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/media?parent=18310"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/categories?post=18310"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/tags?post=18310"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}