Modeling Coupled Hydraulic-Driven Multibody Systems using Finite Element Method

摘要

Coupled hydraulic and mechanical systems have traditionally modelled as separate systems, which interacts by the displacements and velocities of hydraulic actuators and by forces induced by hydraulic actuators. These kinds of systems are usually solved separately by an iterative approach. Iterative solving has a drawback because it adds instability in the sense of convergence and it is computationally inefficient. In addition, tangential matrices between hydraulic and mechanical systems are not properly coupled, that is called inconsistent formulation. In this paper, we introduce a modelling technique for hydraulic systems. The hydraulic system is partitioned into elements that can be assembled together likewise in the finite element method. A subsystem that contains the transmission line with orifices or volumes at the ends of the transmission line can be considered as an element of the hydraulic system. In the finite element analysis, the basic idea is to divide the whole hydraulic system into elements that can be assembled together. This assembling procedure gives the ordinary differential equation system and the Jacobian matrix for the whole hydraulic system.