Joubert, SVShatalov, MYFay, TH2010-02-042010-02-042009-05Joubert, SV, Shatalov, MY and Fay, TH. Rotating structures and Bryan’s effect. American Journal of Physics, Vol.77(6), pp 520-5250002-9505http://hdl.handle.net/10204/3928Copyright: American Association of Physics TeachersIn 1890 Bryan observed that when a vibrating structure is rotated the vibrating pattern rotates at a rate proportional to the rate of rotation. During investigations of the effect in various solid and fluid-filled objects of various shapes, an interesting commonality was found in connection with the gyroscopic effects of the rotating object. The effect has also been discussed in connection with a rotating fluid-filled wineglass. A linear theory is developed, assuming that the rotation rate is constant and much smaller than the lowest eigenfrequency of the vibrating system. The associated physics and mathematics are easy enough for undergraduate students to understand.enBryan's effectRotating structuresRadial vibrationsTangential vibrationsSymmetrically distributed annular discsKinetic energyPotential energyGyroscopic effectsArticleJoubert, S., Shatalov, M., & Fay, T. (2009). Rotating structures and Bryan’s effect. http://hdl.handle.net/10204/3928Joubert, SV, MY Shatalov, and TH Fay "Rotating structures and Bryan’s effect." (2009) http://hdl.handle.net/10204/3928Joubert S, Shatalov M, Fay T. Rotating structures and Bryan’s effect. 2009; http://hdl.handle.net/10204/3928.TY - Article AU - Joubert, SV AU - Shatalov, MY AU - Fay, TH AB - In 1890 Bryan observed that when a vibrating structure is rotated the vibrating pattern rotates at a rate proportional to the rate of rotation. During investigations of the effect in various solid and fluid-filled objects of various shapes, an interesting commonality was found in connection with the gyroscopic effects of the rotating object. The effect has also been discussed in connection with a rotating fluid-filled wineglass. A linear theory is developed, assuming that the rotation rate is constant and much smaller than the lowest eigenfrequency of the vibrating system. The associated physics and mathematics are easy enough for undergraduate students to understand. DA - 2009-05 DB - ResearchSpace DP - CSIR KW - Bryan's effect KW - Rotating structures KW - Radial vibrations KW - Tangential vibrations KW - Symmetrically distributed annular discs KW - Kinetic energy KW - Potential energy KW - Gyroscopic effects LK - https://researchspace.csir.co.za PY - 2009 SM - 0002-9505 T1 - Rotating structures and Bryan’s effect TI - Rotating structures and Bryan’s effect UR - http://hdl.handle.net/10204/3928 ER -