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Journal Articles Journal of Tribology Year : 2016

Fast Solution of Transient EHD Line Contact Problems using the Trajectory Piecewise Linear Approach

Abstract

In order to obtain a fast solution scheme, the trajectory piecewise linear (TPWL) method is applied to the transient elastohydrodynamic (EHD) line contact problem for the first time. TPWL approximates the nonlinearity of a dynamical system by a weighted superposition of reduced linearized systems along specified trajectories. The method is compared to another reduced order model (ROM), based on Galerkin projection, Newton–Raphson scheme and an approximation of the nonlinear reduced system functions. The TPWL model provides further speed-up compared to the Newton–Raphson based method at a high accuracy.
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Dates and versions

hal-01185863 , version 1 (21-08-2015)

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Daniel Maier, Corina Hager, Hartmut Hetzler, Nicolas Fillot, Philippe Vergne, et al.. Fast Solution of Transient EHD Line Contact Problems using the Trajectory Piecewise Linear Approach. Journal of Tribology, 2016, pp.011502-1-9. ⟨10.1115/1.4031064⟩. ⟨hal-01185863⟩
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