Analytical Force, Stiffness, and Resonance Frequency Calculations of a Magnetic Vibration Isolator for a Microbalance

Abstract
The accuracy of a microbalance is highly dependent on the level of floor vibrations. One strategy to reduce floor vibrations is a magnetic vibration isolator. Magnetic vibration isolators have the possibility to obtain a zero-stiffness region, which is beneficial for attenuating vibrations. In this paper, a 3-D analytical magnetic surface charge model is used to calculate the spring characteristics of a cone-shaped magnetic vibration isolator for different angles.