A 3-D Quasi-Zero-Stiffness-Based Sensor System for Absolute Motion Measurement and Application in Active Vibration Control

Abstract

A novel 3-D quasi-zero-stiffness (3DQZS) system is proposed to construct a 3-D sensor system for absolute motion measurement in vibration systems. The 3DQZS system is achieved by employing a predeformed scissor-like structure. With mathe- matical modeling and the harmonic balance method, the nonlinear dynamic response of the 3-D sensor system is deeply analyzed. It is shown that this novel 3DQZS-based sensor system is very effective and reliable in 3-D absolute motion measurement in vi- bration systems. A case study in active vibration control using the proposed 3-D sensor indicates that much better vibration control performance can be readily achieved compared with conventional methods using a similar linear feedback controller. This novel sen- sor system should provide an alternative or much better solution to many vibration control problems in various engineering practices. Index Terms—Active vibration control, nonlinear system, quasi- zero stiffness (QZS), scissor-like structure (SLS), vibration sensor.