Influence of the Nonlinear Stiffness Parameter of the Vibratory Stress Relief Device on Strong Nonlinear Superharmonic Resonance

Abstract

Nonlinear superharmonic vibratory stress relief (VSR) is an effective way to solve the resonance problem of a high stiffness workpiece. However, strong nonlinear factors are present, and superharmonic resonance is relatively complicated when the entire device is a strongly nonlinear system. Choosing the best nonlinear stiffness parameter of the spring to allow the superharmonic resonance to generate a sufficient amplitude and sufficient dynamic stress becomes difficult. To solve this problem, it is necessary to explore the effect of the stiffness parameter on the system resonance: First, the nonlinear vibration situation of the VSR device is analysed, and the effect of the stiffness parameter on the vibration characteristics is explored under the action of the strong nonlinear system. Then, a simulated vibration table is used to verify the rule that the stiffness parameters affect the superharmonic resonance. It was shown that strong nonlinear theory provides a theoretical basis for simulating vibration table experiments, and the relationship between the spring stiffness parameter and amplitude satisfies a certain relationship, which provides a useful reference for the application and research of the VSR device for nonlinear superharmonic resonance.

Keywords

• Nonlinear superharmonic resonance
• stiffness parameter
• strongly nonlinear system