Sensitivity of Toroidal Drive Natural Frequencies to Modes Parameters

Abstract

In this paper, sensitivity of the natural frequencies to the drive system design parameters is analytically investigated. Taking advantage of the highly structured natural frequency and vibration mode properties of the toroidal drive coming from its cyclic symmetry, simple formulae are obtained to calculate eigensensitivities. The general eigensensitivity relations for every natural frequency are formulated and applied to the three classes of different vibration modes. Then, sensitivity of the natural frequency to system parameters are discussed for different modes, respectively. The main influencing factors and their effects on sensitivity of the natural frequency are analyzed systematically.