Receptance Methods in the Iterative Solution of Torsional Vibration Problems

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Abstract
The Holzer method is widely used in the solution of the modes and frequencies of lumped parameter torsional systems. Basically the method consists of assuming an approximate value of the required frequency and, starting from one end of the system, determining the amplitudes of vibration station by station. Since the assumed frequency is an approximate one there will be a residual (torque or displacement) at the last station. The true frequency to be determined is that for which the residual is zero. Among the special advantages of the method are that any natural frequency may be obtained directly without a knowledge of the lower modes and, with the use of transfer matrices, the method may be readily adapted for the solution of complex vibration problems using a computer.

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