On complex flutter and buckling analysis of a beam structure subjected to static follower force

    Authors

    Q. Wang

    Comments

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    Abbreviated Journal Title

    Struct. Eng. Mech.

    Keywords

    flutter analysis; buckling analysis; stability of structures; linearized; approach; structural analysis; Euler-Bernoulli beam; follower force; NONCONSERVATIVE SYSTEMS; CANTILEVERED COLUMN; OPTIMUM DESIGN; BECK; COLUMN; STABILITY; INSTABILITY; LOAD; DIVERGENCE; Engineering, Civil; Engineering, Mechanical

    Abstract

    The flutter and buckling analysis of a beam structure subjected to a static follower force is completely studied in the paper. The beam is fixed in the transverse direction and constrained by a rotational spring at one end, and by a translational spring and a rotational spring at the other end. The co-existence of flutter and buckling in this beam due to the presence of the follower force is an interesting and important phenomenon. The results from this theoretical analysis will be useful for the stability design of structures in engineering applications, such as the potential of flutter control of aircrafts by smart materials. The transition-curve surface for differentiating the two distinct instability regions of the beam is first obtained with respect to the variations of the stiffness of the springs at the two ends. Second, the capacity of the follower force is derived for flutter and buckling of the beam as a function of the stiffness of the springs by observing the variation of the first two frequencies obtained from dynamic analysis of the beam. The research in the paper may be used as a benchmark for the flutter and buckling analysis of beams.

    Journal Title

    Structural Engineering and Mechanics

    Volume

    16

    Issue/Number

    5

    Publication Date

    1-1-2003

    Document Type

    Article

    Language

    English

    First Page

    533

    Last Page

    556

    WOS Identifier

    WOS:000186061100002

    ISSN

    1225-4568

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