1986 Volume 52 Issue 476 Pages 1272-1279
The approximation previously proposed by the authors is applied to an analysis of unstable vibrations of a rotating asymmetrical shaft supported by asymmetrically flexible bearing pedestals. A frequency equation is represented by the determinant of the 4th order, 8th order, or 12th order, according to three cases in which a directional inequality of bearing pedestal stiffness is negligibly small, small but considerable, or not small, respectively. Instability regions are obtained by solving each frequency equation. No matter what the magnitude of directional inequality of bearing pedestal stiffness may be, the position, width and number of instability regions can be sufficiently determined by use of the determinant of the 8th order. The same instability regions are obtained by calculation even though the determinant of the 12th order is used. Instability regions derived from approximation are found to agree well with those obtained by an analog computer.
Transactions of the Society of Mechanical Engineers
Transactions of the Japan Society of Mechanical Engineers
Transactions of the Japan Society of Mechanical Engineers Series A
Transactions of the Japan Society of Mechanical Engineers Series B
TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C
TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B
TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A
