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About: This article is published in Journal of Sound and Vibration.The article was published on 1983-04-08. It has received None citations till now.
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Journal ArticleDOI
TL;DR: In this paper, the extensional equations of motion for a cantilever bar rotating about an axis fixed in space are derived, and it is shown that the form of the nonlinear strain-displacement relation is important in determining the nature of the relationship between the frequency of extensional oscillations and the rotational speed.
Abstract: The extensional equations of motion for a cantilever bar rotating about an axis fixed in space are derived. It is shown that the form of the non-linear strain-displacement relation is important in determining the nature of the relationship between the frequency of extensional oscillations and the rotational speed. In particular, the frequency may or may not increase monotonically with rotational speed, depending on the degree of hardening in the effective extensional spring. The determination whether an instability occurs as the rotational speed increases is beyond the limits of engineering beam theory.

12 citations

Journal ArticleDOI
TL;DR: In this paper, the rotary wing aeroelasticity is treated as a non-linear problem and it is shown that the proper treatment of aero-elastic problems requires the development of a consistent mathematical model.

7 citations