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Appl. Sci. 2018, 8(2), 291;

Competitive Time Marching Solution Methods for Systems with Friction-Induced Nonlinearities

Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
Author to whom correspondence should be addressed.
Received: 30 January 2018 / Revised: 8 February 2018 / Accepted: 12 February 2018 / Published: 15 February 2018
(This article belongs to the Section Mechanical Engineering)
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Finding efficient and accurate solution methods for nonlinear equilibrium equations is a challenging task. This is the case of systems with friction-induced nonlinearities, e.g., friction-damped turbomachinery assemblies and automotive applications such as brakes. In order to tackle this strategic task, several methods have been developed, both in the time and in the frequency domains. Time marching methods are regarded as the most accurate option, but their computational cost becomes prohibitive when friction nonlinearities are present. This poses a problem in all those cases where alternative frequency domain methods cannot be applied effectively, e.g., if transients, non-periodic excitation/solution, or highly nonlinear systems are of interest. The purpose of this paper is to propose three independent methods to make time-marching more competitive. Two of these methods can be applied to any existing direct integration scheme with minimal adjustments, but the computational time cut they introduce is significant. The last method is instead tailored for systems where the inertia force contribution is negligible. All methods are thoroughly validated numerically using a standard Newmark- β integration scheme as a reference. View Full-Text
Keywords: time marching; direct time integration; solution methods; friction damping time marching; direct time integration; solution methods; friction damping

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Gastaldi, C.; Berruti, T.M. Competitive Time Marching Solution Methods for Systems with Friction-Induced Nonlinearities. Appl. Sci. 2018, 8, 291.

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