Abstract
In modelling hydraulic cylinders interaction between the structural response and the hydraulic system needs to be taken into account. In this chapter two approaches for modelling flexible multibody systems coupled with hydraulic actuators i.e. cylinders are presented and compared. These models are the truss-element-like cylinder and bending flexible cylinder models. The bending flexible cylinder element is a super-element combining the geometrically exact Reissner-beam element, the \(C^1\)-continuous slide-spring element needed for the telescopc movement and the hydraulic fluid field. Both models are embeded with a friction model based on a bristle approach. The models are implemented in a finite element enviroment. In time the coupled stiff differential equation system is integrated using the L-stable Rosenbrock method.
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Notes
- 1.
Since the piston position \(x_\mathrm{c}\) is a relative quantity, the initial volume includes the dead volume as well as the volume of the piston displacement resulting from the initial stroke. The initial volumes are as given in Fig. 2.
- 2.
Note that only \(F_{{\mathrm {{c}}}}\) dependends on the cylinder variables.
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Ylinen, A., Mäkinen, J., Kouhia, R. (2016). Two Models for Hydraulic Cylinders in Flexible Multibody Simulations. In: Ibrahimbegovic, A. (eds) Computational Methods for Solids and Fluids. Computational Methods in Applied Sciences, vol 41. Springer, Cham. https://doi.org/10.1007/978-3-319-27996-1_17
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DOI: https://doi.org/10.1007/978-3-319-27996-1_17
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