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

2006 ◽  
Vol 43 (3) ◽  
pp. 239-256 ◽  
Author(s):  
Kimmo S. Kerkkänen ◽  
Daniel García-Vallejo ◽  
Aki M. Mikkola
Keyword(s):  
Finite Element ◽  
Large Deformation ◽  
Finite Element Formulation ◽  
Element Formulation ◽  
Belt Drives

A penalty function approach to problems of plastic flow of metals with large surface deformations

1975 ◽  
Vol 10 (3) ◽  
pp. 180-183 ◽  
Author(s):  
O C Zienkiewicz ◽  
P N Godbole
Keyword(s):  
Finite Element ◽  
Large Deformation ◽  
Plastic Flow ◽  
Penalty Function ◽  
Iterative Solution ◽  
Function Approach ◽  
Finite Element Formulation ◽  
Element Formulation ◽  
Penalty Function Approach

An iterative solution permits determination of velocities in plastic flow using a finite element formulation. By updating co-ordinates very large deformation can be followed.

Spatial Finite Element Formulation for the Pantograph/Catenary Systems

2005 ◽  
Author(s):  
Jong-Hwi Seo ◽  
Hiroyuki Sugiyama ◽  
Ahmed A. Shabana
Keyword(s):  
Finite Element ◽  
Large Deformation ◽  
Contact Point ◽  
Three Dimensional ◽  
Finite Element Formulation ◽  
Element Formulation ◽  
Arc Length ◽  
Algebraic Equations ◽  
Absolute Nodal Coordinates ◽  
Three Dimensional Finite Element

This paper describes a three-dimensional large deformation finite element formulation for the analysis of the multibody pantograph/catenary systems. The large deformation of the catenary is modeled using the three-dimensional finite element absolute nodal coordinate formulation. A non-generalized arc-length parameter is introduced in order to be able to formulate the joint between the catenary and pan-head and to accurately predict the location of the contact point. The resulting system of differential and algebraic equations formulated in terms of reference coordinates, finite element absolute nodal coordinates, and non-generalized arc-length and contact surface parameters are solved using computational multibody system algorithms. A method is also proposed to deal with the problem of the loss of contact between the pan-head and the catenary cable.

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