Numerical algorithms for simulation of one-dimensional mechanical systems with clearance-type non-linearities

[+] Author and Article Information
Lina M Wramner

AB Volvo, Group Trucks Technology and Department of Mechanics and Maritime Sciences, Chalmers University of Technology, Göteborg, Sweden

1Corresponding author.

ASME doi:10.1115/1.4043087 History: Received November 20, 2018; Revised February 28, 2019


In many mechanical systems there are non-linearities of clearance type. This type of non-linearity often causes problems with convergence and accuracy in simulations, due to the discontinuities at impact. For systems with gap-activated springs connected to ground, it has been proposed in previous work to reformulate the problem as a Linear Complementary Problem (LCP), which can be solved in a very efficient way. In this paper a generalisation of the LCP approach is proposed for systems with gap-activated springs connecting different bodies. The generalisations enable the LCP approach to be used for an arbitrary number of gapactivated springs connecting either different bodies or connecting bodies to ground. The springs can be activated in either compression or expansion or both and a gear ratio can be included between the bodies. The efficiency of the algorithm is demonstrated with an application example of a dual mass flywheel.

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