Vibration of a rotating uniform beam, part I: Orientation in the axis of rotation

Development of a dynamic stiffness matrix for free vibration analysis of spinning beams

“…There has been a growing interest in the investigation of free vibration characteristics of spinning beams because the topic plays an important role in the design of shafts, turbine blades, propellers and many other spinning structures [1][2][3][4][5][6][7][8][9][10][11][12]. Some of the key publications are reviewed as follows.…”

Analytical estimation of the noise due to a rotating shaft

“…A famous book by Tondl [1] described thoroughly the characteristics of rotor systems. Bauer and his colleague [2,3] investigated the basic vibration features of rotating beams with different boundary conditions and discussed the features of natural frequencies and forced responses. Nelson [4] presented a review article on the modeling and analytical methods to understanding the characteristics of rotating systems.…”

A Concentrated Mass on the Spinning Unconstrained Beam Subjected to a Thrust

“…On the other hand, as the #exibility of the beam is included, the stability region may vary due to the e!ect of elastic modes. Bauer [13] studied the natural frequency of a spinning Euler}Bernoulli beam with various boundary conditions. Numerical results showed that the natural frequencies are linearly increased with the spinning speed.…”