Computerized symbolic solution for a nonconservative system in which instability occurs by flutter in one range of a parameter and by divergence in another

Author Type

Outside Researcher

Co-Author Type 1

Outside Researcher

Co-Author Type 2

Outside Researcher

Co-Author Type 3

Outside Researcher

College

Engineering and Computer Science

Department

Ocean and Mechanical Engineering

Document Type

Article

Publication/Event/Conference Title

Computer Methods in Applied Mechanics and Engineering

Publication Status

Version of Record

Abstract

The instability of a uniform column which is simply supported at one end, resting on a support at some intermediate location q, and has the other end subjected to a follower force is studied. The problem is solved by the Galerkin method in conjunction with computerized symbolic algebra. It is shown that there exists a location for the intermediate support at q = q* so that the structure loses its stability by flutter for q < q* and by divergence for q > q*. At q = q* the critical load undergoes a jump, implying the transition of the instability mode from flutter to divergence. Moreover, the location q = q*+ is an optimal location in the sense that the critical load assumes a maximum. © 1987.

First Page

27

Last Page

46

DOI

10.1016/0045-7825(87)90088-0

Publication Date

1-1-1987

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