Study on the optimum operating curve for rotating shaft systems under consideration of the effect of limited power supply. (2nd report)

It may sometimes happen that a rotating machine can not be operated beyond a critical speed if it does not have sufficient power supply. Even if it can be operated beyond the critical speed, it yields a large transient response due to the limited power supply. An optimum design of an operating curve with limited power supply to obtain the minimum transient response was studied in the previous report where the operating curve was expressed by a piecewise linear curve with a stationary part and two parameters specifying the stationary part were to be optimized. The same type of optimum design problem of an operating curve is considered again in this report. An operating curve of general form is expressed here by the cubic spline function and the position vectors defining the spline function are optimized to minimize the transient response around the critical speed. Several numerical examples are obtained and examined from many points of view.