Numerical analysis of the oscillation susceptibility along the path of longitudinal flight equilibria of a reentry vehicle
In this paper, it is shown that when the automatic flight control system (AFCS) is decoupled, then on the path of longitudinal flight equilibria of the ALFLEX reentry vehicle, there exist saddle–node bifurcations resulting in oscillations: when the elevator angle exceeds the bifurcation value, the a...
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Veröffentlicht in: | Nonlinear analysis: real world applications 2010-06, Vol.11 (3), p.1953-1962 |
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container_end_page | 1962 |
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container_title | Nonlinear analysis: real world applications |
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creator | Balint, St Kaslik, E. Balint, A.M. |
description | In this paper, it is shown that when the automatic flight control system (AFCS) is decoupled, then on the path of longitudinal flight equilibria of the ALFLEX reentry vehicle, there exist saddle–node bifurcations resulting in oscillations: when the elevator angle exceeds the bifurcation value, the angle of attack and pitch rate oscillate with the same period, while the pitch angle increases or decreases infinitely. Hence, the orbit of the system is spiraling. It is also shown that a mild (non-catastrophic) stability loss occurs due to the bifurcations. Based on this analysis, an automatic flight control design is developed. |
doi_str_mv | 10.1016/j.nonrwa.2009.04.017 |
format | Article |
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Hence, the orbit of the system is spiraling. It is also shown that a mild (non-catastrophic) stability loss occurs due to the bifurcations. Based on this analysis, an automatic flight control design is developed.</description><identifier>ISSN: 1468-1218</identifier><identifier>EISSN: 1878-5719</identifier><identifier>DOI: 10.1016/j.nonrwa.2009.04.017</identifier><language>eng</language><publisher>Elsevier Ltd</publisher><subject>Angle of attack ; Automatic flight control ; Bifurcation ; Bifurcations ; Design engineering ; Elevators ; Orbits ; Oscillation ; Oscillations ; Pitch angle ; Reentry vehicle ; Reentry vehicles ; Stability</subject><ispartof>Nonlinear analysis: real world applications, 2010-06, Vol.11 (3), p.1953-1962</ispartof><rights>2009 Elsevier Ltd</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c339t-5b3fcbafd705f40d09c535a9cd0cc3ab7c76b866efd801b12fbf437c1ad646023</citedby><cites>FETCH-LOGICAL-c339t-5b3fcbafd705f40d09c535a9cd0cc3ab7c76b866efd801b12fbf437c1ad646023</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S1468121809002041$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3537,27901,27902,65306</link.rule.ids></links><search><creatorcontrib>Balint, St</creatorcontrib><creatorcontrib>Kaslik, E.</creatorcontrib><creatorcontrib>Balint, A.M.</creatorcontrib><title>Numerical analysis of the oscillation susceptibility along the path of longitudinal flight equilibria of a reentry vehicle</title><title>Nonlinear analysis: real world applications</title><description>In this paper, it is shown that when the automatic flight control system (AFCS) is decoupled, then on the path of longitudinal flight equilibria of the ALFLEX reentry vehicle, there exist saddle–node bifurcations resulting in oscillations: when the elevator angle exceeds the bifurcation value, the angle of attack and pitch rate oscillate with the same period, while the pitch angle increases or decreases infinitely. Hence, the orbit of the system is spiraling. It is also shown that a mild (non-catastrophic) stability loss occurs due to the bifurcations. Based on this analysis, an automatic flight control design is developed.</description><subject>Angle of attack</subject><subject>Automatic flight control</subject><subject>Bifurcation</subject><subject>Bifurcations</subject><subject>Design engineering</subject><subject>Elevators</subject><subject>Orbits</subject><subject>Oscillation</subject><subject>Oscillations</subject><subject>Pitch angle</subject><subject>Reentry vehicle</subject><subject>Reentry vehicles</subject><subject>Stability</subject><issn>1468-1218</issn><issn>1878-5719</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</creationdate><recordtype>article</recordtype><recordid>eNp9kEtLxDAUhYsoOD7-gYss3bQmTZu2G0HEF4hudB3S9Ma5Q6aZSVJl_PWmjmtXuYTvHDhfll0wWjDKxNWqGN3ov1RRUtoVtCooaw6yBWubNq8b1h2muxJtzkrWHmcnIaxoIhhni-z7ZVqDR60sUaOyu4CBOEPiEogLGq1VEd1IwhQ0bCL2aDHuiLJu_PiFNiou58D8gXEaMJUQY_FjGQlsp4T3HtVMKOIBxuh35BOWqC2cZUdG2QDnf-9p9n5_93b7mD-_Pjzd3jznmvMu5nXPje6VGRpam4oOtNM1r1WnB6o1V32jG9G3QoAZWsp6VpreVLzRTA2iErTkp9nlvnfj3XaCEOUa05o0bQQ3BclEw8qSi65NaLVHtXcheDBy43Gt_E4yKmfVciX3quWsWtJKJpEpdr2PQZrxieBlUgejhgE96CgHh_8X_ADJio1u</recordid><startdate>20100601</startdate><enddate>20100601</enddate><creator>Balint, St</creator><creator>Kaslik, E.</creator><creator>Balint, A.M.</creator><general>Elsevier Ltd</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>H8D</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20100601</creationdate><title>Numerical analysis of the oscillation susceptibility along the path of longitudinal flight equilibria of a reentry vehicle</title><author>Balint, St ; Kaslik, E. ; Balint, A.M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c339t-5b3fcbafd705f40d09c535a9cd0cc3ab7c76b866efd801b12fbf437c1ad646023</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2010</creationdate><topic>Angle of attack</topic><topic>Automatic flight control</topic><topic>Bifurcation</topic><topic>Bifurcations</topic><topic>Design engineering</topic><topic>Elevators</topic><topic>Orbits</topic><topic>Oscillation</topic><topic>Oscillations</topic><topic>Pitch angle</topic><topic>Reentry vehicle</topic><topic>Reentry vehicles</topic><topic>Stability</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Balint, St</creatorcontrib><creatorcontrib>Kaslik, E.</creatorcontrib><creatorcontrib>Balint, A.M.</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Aerospace Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Nonlinear analysis: real world applications</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Balint, St</au><au>Kaslik, E.</au><au>Balint, A.M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Numerical analysis of the oscillation susceptibility along the path of longitudinal flight equilibria of a reentry vehicle</atitle><jtitle>Nonlinear analysis: real world applications</jtitle><date>2010-06-01</date><risdate>2010</risdate><volume>11</volume><issue>3</issue><spage>1953</spage><epage>1962</epage><pages>1953-1962</pages><issn>1468-1218</issn><eissn>1878-5719</eissn><abstract>In this paper, it is shown that when the automatic flight control system (AFCS) is decoupled, then on the path of longitudinal flight equilibria of the ALFLEX reentry vehicle, there exist saddle–node bifurcations resulting in oscillations: when the elevator angle exceeds the bifurcation value, the angle of attack and pitch rate oscillate with the same period, while the pitch angle increases or decreases infinitely. 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subjects | Angle of attack Automatic flight control Bifurcation Bifurcations Design engineering Elevators Orbits Oscillation Oscillations Pitch angle Reentry vehicle Reentry vehicles Stability |
title | Numerical analysis of the oscillation susceptibility along the path of longitudinal flight equilibria of a reentry vehicle |
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