Dynamic Stability of Thin‐Walled Structural Members under Periodic Axial Torque
Publication: Journal of Engineering Mechanics
Volume 115, Issue 1
Abstract
Members of framed structures which are influenced by the dynamic torsional moment from other members connected to the end of the member and structural members like the rotor of a helicopter which experience a twisting moment due to flow are studied. The dynamic stability of those members with a thin‐walled cross section under periodic follower and unidirectional axial torques is investigated. The basic equation of motion of these members becomes a Hill equation, and the parametrically excited unstable vibration occurs in this system. Stability maps of simple parametric resonance are illustrated by using the Bolotin method, and the dynamic stability of various types of members may be estimated from numerical results. The analytical method presented can be applied to analysis members with various boundary conditions and various load conditions.
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References
1.
Aida, T. (1985). “Basic equations of dynamic elastic stability for thin walled structural members subjected to follower loads and their application to non‐conservative torque problems.” Trans. Canad. Soc. Mech. Engrg., 9(2), 75–83.
2.
Aida, T. (1986). “Applications of extended Galerkin's method to non‐conservative stability problems of the columns with thin walled open cross section.” Comp. Meth. in Appl. Mech. and Engrg., 54(1), 1–20.
3.
Bolotin, V. V. (1964). The dynamic stability systems. Holden‐Day, Inc., San Francisco, Calif.
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Leipholz, H. (1977). Direct variational method and eigenvalue problems in engineering. Noordhoff International Publishing, Leyden, The Netherlands.
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Ziegler, H. (1977). Principle of structural stability. Birkhaüser‐Verlag, Basel, Switzerland.
Information & Authors
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Published In
Journal of Engineering Mechanics
Volume 115 • Issue 1 • January 1989
Pages: 71 - 88
Copyright
Copyright © 1989 ASCE.
History
Published online: Jan 1, 1989
Published in print: Jan 1989
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