Vibration characteristics of slotted disc spring series vibration isolation unit

There have been many pieces of research on the vibration isolation theory of the single slotted disc spring. However, the theory of the series slotted disc spring and its bandwidth optimization is rarely mentioned. Therefore, by considering the effect of boundary friction of series slotted disc spring units, we optimized the general formula for the load–deflection relationship of a slotted disc spring. The accuracy of the optimization was verified by simulation. Furthermore, it expands on the application range of the general formula, making it suitable for both single and series slotted disc springs. The nonlinear dynamic model of the slotted disc spring was established, and the multiscale method was used to study system parameters under strong excitation conditions. System parameters affected the response characteristics of the primary, superharmonic, and subharmonic resonance of series slotted disc spring units. Results showed that reducing the nonlinear stiffness and increasing the viscous damping coefficient and friction reaction coefficient are beneficial to improving the vibration isolation performance. We further deduced that the effective bandwidth of vibration isolation could be increased by adding the mass of the block, slotted depth, and number of slotted disc spring units. Therefore, this research provides theoretical guidance that is significant for engineering applications.