A new type of sensor system with torsion quasi-zero stiffness is proposed for angular vibration measurement to solve the problem that the absolute angular displacement is hard to measure directly in many engineering practices. The system has a cam-roller mechanism. The measuring mechanism is analyzed according to the structural characteristics of the sensor system. A nonlinear dynamic model of the proposed sensor system is established based on static analysis. The effects of pre-compression amount
damping ratio and input amplitude on its dynamic measurement performance are studied by the harmonic balance method. Numerical simulation results show that the real-time measurement error of the proposed system is below 3% even for a 4% pre-compression error on compressed spring and for a small amplitude vibration with the frequency 0.3 time higher than natural frequency of a corresponding linear system. The system provides a convenient
cheap and direct torsional state measurement solution to various vibration control problems.
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