Analysis of Belt-Driven Mechanics Using a Creep-Rate-Dependent Friction Law

Leamy, Michael J.; Wasfy, Tamer M.

doi:10.1115/1.1488663

Cited by 61 publications

(38 citation statements)

References 20 publications

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“…When the friction creep-rate factor is 1.0 × 10 4 kg/m s, the force distributions have an approximately linear pattern with exception of the tangential force distribution of the driver pulley. The force distributions become more nonlinear when the creep-rate factor is increased to 1.0 × 10 5 kg/m s. This occurrence can be also found from the studies of Leamy and Wasfy [1,5,7]. In this study, however, the friction force has peaks on the arriving (inlet) and leaving (exit) zones of the driver pulley.…”

Section: Numerical Resultssupporting

confidence: 60%

“…The authors of Refs. [1,5,7] demonstrate that the results of the proposed models and analytical values are in good agreement for discretizations with 38 (three node beam elements, 154 degrees of freedom) or 100 (truss elements, 202 degrees of freedom) elements per half pulley.…”

Section: Introductionsupporting

confidence: 54%

“…This is accomplished using the shape function matrix, which is a crucial step if the belt is modeled using a low number of elements. Naturally, in the finite element sense, the use of the distributed contact force could be replaced by a large number of discrete forces [1,5,7]. The use of the distributed contact forces with the high-order elements allows reducing the number of elements and, therefore, the number of degrees of freedom, since the curving of the elements into the circular shape of the pulley is no longer vis major.…”

Section: Modeling Of the Frictional Contactmentioning

confidence: 99%

“…In this method, a penalty formulation is applied with a Coulomb-like tri-linear creep-rate dependent friction. The advantages of the law are numerical stability and physical relevance in the case of small sliding velocity [5]. In the models proposed by Leamy and Wasfy [1,7], the forces are applied to the nodes of the loworder elements.…”

Section: Modeling Of the Frictional Contactmentioning

confidence: 99%

“…[1] Leamy et al have proposed a general dynamic finite element model of belt-drive systems. In the study, the belt is modeled using truss elements including detailed frictional contact [1,5]. The finite elements use only Cartesian coordinates of the nodes as degrees of freedom, and all degrees of freedom are defined directly in a global inertial reference frame.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Modeling of Belt-Drives Using a Large Deformation Finite Element Formulation

2006

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In this paper, the applicability of the absolute nodal coordinate formulation for the modeling of belt-drive systems is studied. A successful and effective analyzing method for belt-drive systems requires the exact modeling of the rigid body inertia during an arbitrary rigid body motion, accounting of shear deformation, description of highly nonlinear deformations, and a simple as well as realistic description of the contact. The absolute nodal coordinate formulation meets the challenge and is a promising approach for the modeling of belt-drive systems. In this study, a recently proposed two-dimensional shear deformable beam element based on the absolute nodal coordinate formulation has been modified to obtain a belt-like element. In the original element, a continuum mechanics approach is applied to the exact displacement field of the shear deformable beam. The belt-like element allows the user to control the axial and bending stiffness through the use of two parameters. In this study, the interaction between the belt and the pulleys is modeled using an elastic approach in which the contact is accounted for by the inclusion of a set of external forces that depend on the penetration between the belt and pulley. When using the absolute nodal coordinate formulation, the contact forces can be distributed over the length of the element due to the use of high-order polynomials. This is different from other approaches that are used in the modeling of belt-drives. Static and dynamic analysis are used in this study to show the performance of the distributed contact force model and the proposed belt-like element, which is able to model highly nonlinear deformations. Applying these two contributions to the modeling of belt-drive systems, instead of contact forces applied at nodes and low-order elements, leads to a considerable reduction in the degrees of freedom.

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Section: Numerical Resultssupporting

confidence: 60%

Section: Introductionsupporting

confidence: 54%