Dynamic Stability of Imperfect Frames under Joint Displacements
Publication: Journal of Engineering Mechanics
Volume 120, Issue 8
Abstract
In this investigation a nonlinear dynamic‐stability analysis is performed on a two‐bar geometrically imperfect frame subjected to an axial displacement of its joint, either suddenly applied or time dependent. The dynamic response of the frame is governed by a coupled system of two one‐dimensional partial differential equations for the axial and lateral motion of each bar. One and two‐mode solutions are thoroughly discussed for various geometric configurations of the frame. Dynamic buckling occurs when the corresponding frame under static loading loses its stability through a limit point. This happens for initial bar curvatures above a certain critical value; below this value the frame is dynamically stable. Numerical results are obtained by using Galerkin's method in connection with the seventh‐order Runge‐Kutta‐Verner scheme with appropriate step size. The results of the one‐mode solution are found to be in excellent agreement with those of previous analyses.
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Information
Published In
Journal of Engineering Mechanics
Volume 120 • Issue 8 • August 1994
Pages: 1661 - 1674
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: Jul 27, 1992
Published online: Aug 1, 1994
Published in print: Aug 1994
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