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Novel bulk modulus model to estimate stiffness in fluid power systems
Abstract:A precise evaluation of the bulk modulus is essential for the efficient simulation and accurate design of hydraulic circuits. The compression and dissolution of air bubbles in hydraulic oil can affect the density as well as the effective bulk modulus during corresponding operation. To address this phenomenon, this study presents a novel model for the bulk modulus. The representation does not rely on the tangent or the secant definition of the bulk modulus, but on the assumption of compression as a polytropic process. The results are compared to various experimental studies, showing that the new model can properly reproduce the experimental data. In addition, a model based on new bulk modulus and a model based on a commercial software are used for the simulation of four-chamber cylinder in digital fluid power circuits. These simulations verify that the LMS model can be reliable though a discrepancy exists in reproducing the position of piston, which will be increased by time.
Keywords:Polytropic process  Henry’s law  Entrained air  Digital valve  Four-chamber cylinder
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