Mathematical Modeling for Energy Dissipation Behavior of Velocity Dependent Hydraulic Damper

Abstract

The developed oil-pressure damper is installed with an additional Relief Valve parallel to the Throttle Valve. This is intended to obtain an adaptive control by changing the damping coefficient of this damper using changeable orifice size. In order to simulate its actual energy-dissipating behavior, a serial friction model and a small damper parallel to the friction model, added to Maxwell Model, is proposed in this study to derive a mathematical analysis model and compare the analysis results with real energy-dissipating behaviors of this damper. These verifications show that this proposed model could accurately simulate the relation of force and displacement and the relation of force and velocity with various frequencies. Therefore, this proposed model is valid in the description of the process of energy dissipation.