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    Complex Notation in Flutter Analysis

    Source: Journal of Structural Engineering:;1998:;Volume ( 124 ):;issue: 008
    Author:
    Uwe Starossek
    DOI: 10.1061/(ASCE)0733-9445(1998)124:8(975)
    Publisher: American Society of Civil Engineers
    Abstract: Flutter analysis in aircraft or bridge engineering has to include motion-induced aerodynamic forces. These forces are mathematically described in two equivalent ways, namely, by real number or complex number expressions. Accordingly, flutter analysis can be performed using either real or complex arithmetic. At first glance, the use of either kind of notation seems to be more a question of personal preference, as both lead to the same numerical results. Nevertheless, this paper attempts to advocate the use of complex notation both in aircraft and bridge flutter analysis. Real-number and complex-number descriptions of the same mechanical phenomena are compared. It is shown that, apart from computational advantages, complex notation leads to mathematically more compact and more elegant expressions, which is of significance particularly from an educational standpoint.
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      Complex Notation in Flutter Analysis

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    contributor authorUwe Starossek
    date accessioned2017-05-08T20:57:12Z
    date available2017-05-08T20:57:12Z
    date copyrightAugust 1998
    date issued1998
    identifier other%28asce%290733-9445%281998%29124%3A8%28975%29.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/33033
    description abstractFlutter analysis in aircraft or bridge engineering has to include motion-induced aerodynamic forces. These forces are mathematically described in two equivalent ways, namely, by real number or complex number expressions. Accordingly, flutter analysis can be performed using either real or complex arithmetic. At first glance, the use of either kind of notation seems to be more a question of personal preference, as both lead to the same numerical results. Nevertheless, this paper attempts to advocate the use of complex notation both in aircraft and bridge flutter analysis. Real-number and complex-number descriptions of the same mechanical phenomena are compared. It is shown that, apart from computational advantages, complex notation leads to mathematically more compact and more elegant expressions, which is of significance particularly from an educational standpoint.
    publisherAmerican Society of Civil Engineers
    titleComplex Notation in Flutter Analysis
    typeJournal Paper
    journal volume124
    journal issue8
    journal titleJournal of Structural Engineering
    identifier doi10.1061/(ASCE)0733-9445(1998)124:8(975)
    treeJournal of Structural Engineering:;1998:;Volume ( 124 ):;issue: 008
    contenttypeFulltext
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