Correction for restoring force in mass measurement using dead-zone relay feedback of displacement

Abstract

In a mass measurement system using relay feedback of displacement, an object to be measured was guided mechanically by leaf springs to restrict its motion to a single translation. Such a mechanical guide produces restoring force that affects the estimation of mass based on the measured periods of oscillation. However, such effects on mass measurement have not been studied sufficiently. In this research, an experimental device is designed and manufactured to verify the analytical results experimentally. The nonlinearity of the spring is compensated by feeding back the deflection of the spring. Mass measurements are conducted with this device. The measured results support the analytical results.