Abstract
The theoretical basis for calculation of disk vibrations developed by Stodola leaves a wide gap to be supplied between theory and useful procedure. This paper outlines a method by which the designer may obtain useful results without resorting to complicated procedures and with a minimum of empirical modifications. Taking Stodola’s differential equations for the energy of an element of a disk, including bending energy when disk is in its position of extreme deflection, kinetic energy as disk passes through its undeflected position, and work done against centrifugal force, the author presents a simplified method of applying them which results in a satisfactory degree of accuracy with but slight expenditure of time in calculations. He points out that static-frequency calculations make a convenient basis for comparing disks and may be checked much more readily experimentally than running frequencies, although the latter may at times be necessary if static-frequency results are too low. In a typical calculation for static frequency for a 3-nodal-diameter vibration of a steel disk, the procedure is demonstrated, and the use of tables of function for simplifying the work is indicated.
