Title

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

Authors

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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