An Improvement of the Holzer Method

Abstract This paper presents a method of obtaining the next trial frequency from the results given by the previous Holzer table. The basis of the method is the effect of a small (fictitious) change in moment of inertia on the natural frequency of the torsional system. Although basically different, the method leads to a result which is very close to that given by Crandall and Strang. The relative merits of the two methods depend on whether the trial frequency is above or below the exact one and on whether or not the next approximation will overshoot the exact value.