Abstract
The efficient design of hydraulic systems requires fast simulation methods. In most simulation programs, the hydraulic components are coupled by compressible joints. Since the compressibility of oil is very small, this leads to stiff differential equations. To avoid these difficulties stiff elastic couplings can be replaced by algebraic and, in some cases, unilateral constraints. Examples for hydraulic components with unilateral behavior are check valves, cylinders with stop limits and fluid volumes, in which cavitation can occur. The resulting complementarity equations can be solved with a standard Lemke algorithm. Compared to conventional methods, this leads to a significant reduction of computational effort.
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