Free Transverse and Lateral Vibration of Beams with Torsional Coupling
Publication: Journal of Aerospace Engineering
Volume 19, Issue 1
Abstract
The free vibration of beams whose flexural motions in both principal planes are coupled with torsion is investigated by using the dynamic stiffness method. First, the governing differential equations of motion in free vibration are derived using Hamilton’s principle. The dynamic stiffness matrix is then developed from the solution of these differential equations when the oscillatory motion of the beam is harmonic. Finally, the resulting dynamic stiffness matrix is applied with particular reference to the Wittrick–Williams algorithm to carry out the free vibration analysis of a few illustrative examples. The numerical results are discussed and this is followed by some concluding remarks.
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Acknowledgments
The writers are grateful to Adam Sobey for many useful discussions and comments. This work is supported by EPSRC (United Kingdom) through Research Grant No. EPSRC-GBGR/R21875/01.
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Information
Published In
Journal of Aerospace Engineering
Volume 19 • Issue 1 • January 2006
Pages: 13 - 20
Copyright
© 2006 ASCE.
History
Received: Jul 22, 2004
Accepted: Mar 1, 2005
Published online: Jan 1, 2006
Published in print: Jan 2006
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