A Method of High Speed Structural Analysis on a Personal Computer (In Comparison with the Transfer Matrix Method)

This paper suggests a rational method of structural analysis which executes the connection process in series through a recurrent form, regarding a cantilever with a lumped mass and lumped moments of inertia at the tip as a fundamental element, and applies the boundary conditions at a left end of a system at the beginning of computation. In applying the method to calculating the critical speeds of axially symmetric rotating machines, the following became clear: The present method demands much less CPU time than the transfer matrix method, and so is very suitable to the structural analysis on a personal computer.