Transfer Matrix Method for Calculating Rotor Natural Frequencies

The Transfer Matrix Method is an approach for calculating the natural frequencies of rotor systems. This method enables the determination of natural frequencies for large rotors and also supports implementation using the prhol (proportional damping) transfer matrix technique. The Transfer Matrix Method operates through matrix operations that map multidimensional physical quantities into a structured matrix format. In this matrix representation, each element characterizes the relationship between two distinct physical parameters. By performing a series of matrix operations - typically involving matrix multiplication, eigenvalue extraction, and boundary condition applications - the natural frequencies of the rotor system can be computed. The computational process generally involves assembling system matrices from individual component matrices, solving the characteristic equation through eigenvalue analysis, and iteratively refining frequency solutions. Consequently, the Transfer Matrix Method serves as a vital engineering tool that facilitates rotor design optimization and dynamic performance analysis.