Problem of Large Deflection of Coiled Springs

Mizuno, Masao; Shimoseki, Masayoshi

doi:10.5346/trbane.1971.65

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2022

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“…Starting from Haringx work on instability [3], several researchers have studied the lateral motion of helical springs. Analytical solutions have been obtained using equivalent beams under large displacements, [4] [5], but these models cannot manage coil contacts. On the other end, the dynamics of the wire has been addressed by many authors using numerical methods: finite element [6], transfer matrix method [7], finite difference [8], dynamic stiffness matrix method [9].…”

Section: Introductionmentioning

confidence: 99%

Discrete model for 3D motion of helical springs

Crescenzo

Salvini

2022

IOP Conf. Ser.: Mater. Sci. Eng.

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Large displacements of coiled springs are affected by both contact between coils and geometric non-linearities. The two phenomena also interact with each other and the only technology that efficiently accounts for both is Finite Elements Method (FEM). Such analysis can become very expensive, especially when a great number of elements and contacts are involved, as it is often the case. A discrete 3D model for fast and efficient simulation of non-linear springs is presented. The discrete model is based on equivalent beam theory and each node is associated with a contact region placed on the helix. Thus contact is accounted on its real occurrence and fast non-linear solution procedure is implemented. A study case is presented and comparison with FEM is discussed.

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