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Technical Paper

Mathematical Model for Brake Hose Layout

1992-09-01
922123
A mathematical model to estimate the shape of a brake hose has been developed. A few papers applying Finite Element Methods (FEM) to this problem have been reported. However, the solutions require a large amounts of computational time even if a super computer is used. A brake hose is made of a flexible material such as rubber, and exhibits large scale deformation when it is mounted on a chassis. Element node displacements are chosen as the independent variables for FEM, so the method becomes a successive iteration of hose shape modifications based on displacements of the nodes. The developed model is approached from the standpoint of mechanical dynamics. A brake hose is divided into small beam elements and particles. The particles are driven by element forces and move around in three-dimensional space.
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