A contact finite element algorithm for the multileaf spring of vehicle suspension systems

Li, Qing, and Li, Wei (2004) A contact finite element algorithm for the multileaf spring of vehicle suspension systems. Proceedings of the Institution of Mechanical Engineers, Part D: journal of automobile engineering, 218 (3). pp. 305-314.

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Abstract

This paper presents an innovative finite element (FE) algorithm for the contact problem of the multileaf spring in vehicles. The well-established classic beam theory is adopted to construct the complementary strain energy variational. A piecewise contact stress pattern is approximated to the real contact state between two layered beams. The vector of nodal contact stresses is taken to represent primary state variables. To implement the principle of the least complementary energy, a quadratic programming (QP) problem with equality and unilateral constraints is formulated. The corresponding Kuhn-Tucker condition is equivalent to the linear complementary problem. In this study, Lemke's algorithm is applied to solve for the nodal stress vector and subsequently to determine the contact stress distribution over the contact surfaces between the layered beams. The algorithm is verified against experimental stress analysis, and it is found that the computation and test correlate well.

Item ID: 13933
Item Type: Article (Refereed Research - C1)
Keywords: elastic contact; experimental stress analysis; finite element method; leaf spring; linear complementary problem; quadratic programming
ISSN: 2041-2991
Date Deposited: 18 Nov 2010 04:58
FoR Codes: 09 ENGINEERING > 0912 Materials Engineering > 091202 Composite and Hybrid Materials @ 40%
09 ENGINEERING > 0915 Interdisciplinary Engineering > 091599 Interdisciplinary Engineering not elsewhere classified @ 40%
09 ENGINEERING > 0903 Biomedical Engineering > 090301 Biomaterials @ 20%
SEO Codes: 87 CONSTRUCTION > 8703 Construction Materials Performance and Processes > 870302 Metals (e.g. Composites, Coatings, Bonding) @ 50%
86 MANUFACTURING > 8613 Transport Equipment > 861301 Aerospace Equipment @ 30%
87 CONSTRUCTION > 8799 Other Construction > 879999 Construction not elsewhere classified @ 20%
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