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Stability analysis of elastic and aeroelastic systems via Lyapunov's direct method

Authors
Journal
Journal of the Franklin Institute
0016-0032
Publisher
Elsevier
Publication Date
Volume
281
Issue
1
Identifiers
DOI: 10.1016/0016-0032(66)90067-6
Disciplines
  • Mathematics

Abstract

Abstract This paper discusses the formulation of stability problems in both elastic and aeroelastic systems in the framework of Lyapunov stability theory. The application of Lyapunov's direct method to these problems is explored. This approach has the advantage over the conventional methods for it enables one to deal directly with the distributed mathematical model of the system without resorting to approximations. Specific examples are worked out so as to reveal some of the difficulties and to give some idea on the class of problems for which Lyapunov's direct method is readily applicable.

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