Dynamics of a Self-Oscillatory System with an Energy Source

Steady-state and transient responses of a flexible eccentric spinning shaft

“…Arnold Sommerfeld [1] discovered a phenomenon, better known as the Sommerfeld effect, which is characterized by the jumps in the system response at critical values of power input to the source. Several literatures are available on non-ideal systems [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. It is well established that the structural response of the system to which a non-ideal drive is connected may act like energy sink under certain conditions so that a part of the energy supplied by the source is spent to vibrate the structure rather than to increase the drive speed.…”