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