Skip to main content
Top
Published in:
Cover of the book

2011 | OriginalPaper | Chapter

A Flexible Multibody Pantograph Model for the Analysis of the Catenary–Pantograph Contact

Authors : Jorge Ambrósio, Frederico Rauter, João Pombo, Manuel S. Pereira

Published in: Multibody Dynamics

Publisher: Springer Netherlands

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

The pantograph–catenary system is still the most reliable form of collecting electric energy for running trains. This system should ideally run with relatively low contact forces, in order to minimize wear and damage of the contacting elements but without contact loss to avoid power supply interruption and electric arching. However, the quality of the pantograph–catenary contact may be affected by operational conditions, defects on the overhead equipment, environmental conditions or by the flexibility of the pantograph components. In this work a flexible multibody methodology based on the use of the mean-axis conditions, as reference conditions, mode component synthesis, as a form of reducing the number of generalized coordinates of the system and virtual bodies, as a methodology to allow the use of all kinematic joints available for multibody modeling and application of external forces, are used to allow building the flexible multibody pantograph models. The catenary model is built in a linear finite element code developed in a Matlab environment, which is co-simulated with the multibody code to represent the complete system interaction. A thorough description of rigid-flexible multibody pantograph models is presented in a way that the proposed methodology can be used. Several flexible multibody models of the pantograph are described and proposed and the quality of the pantograph–catenary contact is analyzed and discussed in face of the flexibility of the overhead components.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Bocciolone M, Resta F, Rocchi D, Tosi A, Collina A (2006) Pantograph aerodynamic effects on the pantograph-catenary interaction. Vehicle Sys Dyn 44(S1):560–570 Bocciolone M, Resta F, Rocchi D, Tosi A, Collina A (2006) Pantograph aerodynamic effects on the pantograph-catenary interaction. Vehicle Sys Dyn 44(S1):560–570
2.
go back to reference Pombo J, Ambrósio J, Pereira M, Rauter F, Collina A, Facchinetti A (2009) Influence of the aerodynamic forces on the pantograph-catenary system for high speed trains. Vehicle Syst Dyn 47(11):1327–1347CrossRef Pombo J, Ambrósio J, Pereira M, Rauter F, Collina A, Facchinetti A (2009) Influence of the aerodynamic forces on the pantograph-catenary system for high speed trains. Vehicle Syst Dyn 47(11):1327–1347CrossRef
3.
go back to reference EUROPAC Project no. 012440 (2007) Modelling of degraded conditions affecting pantograph-catenary interaction. Technical Report EUROPAC-D22-POLI-040-R1.0, Politecnico di Milano, Milan, Italy EUROPAC Project no. 012440 (2007) Modelling of degraded conditions affecting pantograph-catenary interaction. Technical Report EUROPAC-D22-POLI-040-R1.0, Politecnico di Milano, Milan, Italy
5.
go back to reference Shabana A (1982) Dynamic analysis of large-scale inertia variant flexible systems. PhD thesis, University of Iowa, Iowa City Shabana A (1982) Dynamic analysis of large-scale inertia variant flexible systems. PhD thesis, University of Iowa, Iowa City
6.
go back to reference Shabana A, Wehage R (1989) A coordinate reduction technique for transient analysis of spatial structures with large angular rotations. J. Struct Mech 11:401–431 Shabana A, Wehage R (1989) A coordinate reduction technique for transient analysis of spatial structures with large angular rotations. J. Struct Mech 11:401–431
7.
go back to reference Yoo WS, Haug EJ (1986) Dynamics of flexible mechanical systems using vibration and static correction modes. ASME J Mech Trans Auto Design 108:315–322 Yoo WS, Haug EJ (1986) Dynamics of flexible mechanical systems using vibration and static correction modes. ASME J Mech Trans Auto Design 108:315–322
8.
go back to reference Wu S, Haug EJ (1988) Geometric non-linear substructuring for dynamics of flexible mechanical systems. Int J Numer Methods Eng 26:2211–2226CrossRefMATH Wu S, Haug EJ (1988) Geometric non-linear substructuring for dynamics of flexible mechanical systems. Int J Numer Methods Eng 26:2211–2226CrossRefMATH
9.
go back to reference Chang B, Shabana A (1990) Nonlinear finite element formulation for large displacement analysis of plates. ASME J Appl Mech 57:707–718CrossRefMATH Chang B, Shabana A (1990) Nonlinear finite element formulation for large displacement analysis of plates. ASME J Appl Mech 57:707–718CrossRefMATH
10.
go back to reference Melzer F (1994) Symbolisch-numerische Modellierung Elastischer Mehrkorpersysteme mit Answendung auf Rechnerische Ledensdauervorhrsagen. PhD thesis, University of Stuttgart, Germany Melzer F (1994) Symbolisch-numerische Modellierung Elastischer Mehrkorpersysteme mit Answendung auf Rechnerische Ledensdauervorhrsagen. PhD thesis, University of Stuttgart, Germany
11.
go back to reference Ambrósio J, Gonçalves J (2001) Complex flexible multibody systems with application to vehicle dynamics. Multibody Syst Dyn 6(2):163–182CrossRefMathSciNetMATH Ambrósio J, Gonçalves J (2001) Complex flexible multibody systems with application to vehicle dynamics. Multibody Syst Dyn 6(2):163–182CrossRefMathSciNetMATH
12.
go back to reference Geradin M (1984) Finite element approach to kinematic and dynamic analysis of mechanisms using Euler parameters. In: Taylor C (ed.) Numerical Methods for Non-linear Problems, vol 2. Pineridge, Swansea Geradin M (1984) Finite element approach to kinematic and dynamic analysis of mechanisms using Euler parameters. In: Taylor C (ed.) Numerical Methods for Non-linear Problems, vol 2. Pineridge, Swansea
13.
go back to reference Geradin M, Cardona A, Doan DB, Duysens J (1995) Finite element modeling concepts in multibody dynamics. In Pereira MS, Ambrósio J (eds) Computer aided analysis of rigid and flexible multibody systems. Kluwer, Dordrecht, The Netherlands, pp 233–284 Geradin M, Cardona A, Doan DB, Duysens J (1995) Finite element modeling concepts in multibody dynamics. In Pereira MS, Ambrósio J (eds) Computer aided analysis of rigid and flexible multibody systems. Kluwer, Dordrecht, The Netherlands, pp 233–284
14.
go back to reference Simo JC, Vu-Quoc L (1986) On the dynamics of flexible beams under large overall motions – the planar case: Part I. ASME J Appl Mech 53:849–854CrossRefMATH Simo JC, Vu-Quoc L (1986) On the dynamics of flexible beams under large overall motions – the planar case: Part I. ASME J Appl Mech 53:849–854CrossRefMATH
15.
go back to reference Kane TR, Ryan RR, Banerjee AK (1987) Comprehensive theory for the dynamics of a general beam attached to a moving rigid base. J Guidance Control Dyn 10:139–151CrossRef Kane TR, Ryan RR, Banerjee AK (1987) Comprehensive theory for the dynamics of a general beam attached to a moving rigid base. J Guidance Control Dyn 10:139–151CrossRef
16.
go back to reference Bathe K-J, Bolourchi S (1979) Large displacement analysis of three-dimensional beam structures. Int J Numer Methods Eng 14:961–986CrossRefMATH Bathe K-J, Bolourchi S (1979) Large displacement analysis of three-dimensional beam structures. Int J Numer Methods Eng 14:961–986CrossRefMATH
17.
go back to reference Belytschko T, Hsieh BJ (1973) Nonlinear transient finite element analysis with convected coordinates. Int J Numer Methods Eng 7:255–271CrossRefMATH Belytschko T, Hsieh BJ (1973) Nonlinear transient finite element analysis with convected coordinates. Int J Numer Methods Eng 7:255–271CrossRefMATH
18.
go back to reference Simo JC, Vu-Quoc L (1988) On the dynamics in space of rods undergoing large motions – a geometrically exact approach. Comp Methods Appl Mech Eng 66:125–161CrossRefMathSciNetMATH Simo JC, Vu-Quoc L (1988) On the dynamics in space of rods undergoing large motions – a geometrically exact approach. Comp Methods Appl Mech Eng 66:125–161CrossRefMathSciNetMATH
19.
20.
go back to reference Cardona A, Geradin M (1991) Modelling of superelements in mechanism analysis. Int J Numer Methods Eng 32:1565–1594CrossRefMATH Cardona A, Geradin M (1991) Modelling of superelements in mechanism analysis. Int J Numer Methods Eng 32:1565–1594CrossRefMATH
21.
go back to reference Shabana A (1997) Definition of the slopes and the finite element absolute nodal coordinate formulation. Multibody Syst Dyn 1:339–348CrossRefMathSciNetMATH Shabana A (1997) Definition of the slopes and the finite element absolute nodal coordinate formulation. Multibody Syst Dyn 1:339–348CrossRefMathSciNetMATH
22.
go back to reference Ambrósio J, Nikravesh PE (1992) Elastic-plastic deformations in multibody dynamics. Nonlinear Dyn 3:85–104CrossRef Ambrósio J, Nikravesh PE (1992) Elastic-plastic deformations in multibody dynamics. Nonlinear Dyn 3:85–104CrossRef
23.
go back to reference Ambrósio J, Pereira M (1994) Flexibility in multibody dynamics with applications to crashworthiness. In: Pereira MS, Ambrósio J (eds) Computer aided analysis of rigid and flexible multibody systems. Kluwer, Dordrecht, The Netherlands, pp 199–232 Ambrósio J, Pereira M (1994) Flexibility in multibody dynamics with applications to crashworthiness. In: Pereira MS, Ambrósio J (eds) Computer aided analysis of rigid and flexible multibody systems. Kluwer, Dordrecht, The Netherlands, pp 199–232
24.
go back to reference Ambrósio J, Ravn P (1997) Elastodynamics of multibody systems using generalized inertial coordinates and structural damping. Mech Struct Mach 25:201–219CrossRef Ambrósio J, Ravn P (1997) Elastodynamics of multibody systems using generalized inertial coordinates and structural damping. Mech Struct Mach 25:201–219CrossRef
25.
go back to reference Cavin RK, Dusto AR (1977) Hamilton’s principle: finite element method and flexible body dynamics. AIAA J 15(12):1684–1690CrossRefMATH Cavin RK, Dusto AR (1977) Hamilton’s principle: finite element method and flexible body dynamics. AIAA J 15(12):1684–1690CrossRefMATH
26.
go back to reference Pereira M, Proença P (1991) Dynamic analysis of spatial flexible multibody systems using joint co-ordinates. Int J Numer Methods Eng 32:1799–1812CrossRefMATH Pereira M, Proença P (1991) Dynamic analysis of spatial flexible multibody systems using joint co-ordinates. Int J Numer Methods Eng 32:1799–1812CrossRefMATH
27.
go back to reference Nikravesh PE, Lin Y-S (2003) Body reference frames in deformable multibody systems. Int J Multiscale Comput Eng 1:1615–1683CrossRef Nikravesh PE, Lin Y-S (2003) Body reference frames in deformable multibody systems. Int J Multiscale Comput Eng 1:1615–1683CrossRef
28.
go back to reference Ambrósio J (2007) Flexible multibody systems with linear and nonlinear deformations. In: Flores P, Silva M (eds) Proceedings of DSM2007 –Conferência Nacional de Dinâmica de Sistemas Multicorpo, Guimarães, Portugal, 6–7 December 2007 Ambrósio J (2007) Flexible multibody systems with linear and nonlinear deformations. In: Flores P, Silva M (eds) Proceedings of DSM2007 –Conferência Nacional de Dinâmica de Sistemas Multicorpo, Guimarães, Portugal, 6–7 December 2007
29.
go back to reference Ambrósio J (2003) Efficient kinematic joint descriptions for flexible multibody systems experiencing linear and non-linear deformations. Int J Numer Methods Eng 56:1771–1793CrossRefMATH Ambrósio J (2003) Efficient kinematic joint descriptions for flexible multibody systems experiencing linear and non-linear deformations. Int J Numer Methods Eng 56:1771–1793CrossRefMATH
30.
go back to reference Bae DS, Han JM, Choi JH (2000) A implementation method for constrained flexible multibody dynamics using virtual bodies and joint. Multibody Syst Dyn 4:207–226CrossRef Bae DS, Han JM, Choi JH (2000) A implementation method for constrained flexible multibody dynamics using virtual bodies and joint. Multibody Syst Dyn 4:207–226CrossRef
31.
go back to reference Gonçalves J, Ambrósio J (2002) Advanced modeling of flexible multibody dynamics using virtual bodies. Comput Assist Mech Eng Sci 9(3):373–390MATH Gonçalves J, Ambrósio J (2002) Advanced modeling of flexible multibody dynamics using virtual bodies. Comput Assist Mech Eng Sci 9(3):373–390MATH
32.
go back to reference Gonçalves J (2002) Rigid and flexible multibody systems optimization for vehicle dynamics. PhD dissertation, Instituto Superior Técnico, Lisbon, Portugal Gonçalves J (2002) Rigid and flexible multibody systems optimization for vehicle dynamics. PhD dissertation, Instituto Superior Técnico, Lisbon, Portugal
33.
go back to reference Gardou M (1984) Etude du comportement dynamique de l’ensemble pantographe-caténaire (Study of the dynamic behavior of the pantograph-catenary) (in French). PhD thesis, Paris, France Gardou M (1984) Etude du comportement dynamique de l’ensemble pantographe-caténaire (Study of the dynamic behavior of the pantograph-catenary) (in French). PhD thesis, Paris, France
34.
go back to reference Jensen CN (1997) Nonlinear systems with discrete and discontinuous elements. PhD thesis, Technical University of Denmark, Lyngby, Denmark Jensen CN (1997) Nonlinear systems with discrete and discontinuous elements. PhD thesis, Technical University of Denmark, Lyngby, Denmark
35.
go back to reference Dahlberg T (2006) Moving force on an axially loaded beam – with applications to a railway overhead contact wire. Vehicle Syst Dyn 44(8):631–644CrossRef Dahlberg T (2006) Moving force on an axially loaded beam – with applications to a railway overhead contact wire. Vehicle Syst Dyn 44(8):631–644CrossRef
36.
go back to reference Labergri F (2000) Modélisation du Comportement Dynamique du Système Pantographe-Caténaire (Model for the Dynamic Behavior of the System Pantograph-Catenary) (in French). PhD thesis, Ecole Doctorale de Mechanique de Lyon, Lyon, France Labergri F (2000) Modélisation du Comportement Dynamique du Système Pantographe-Caténaire (Model for the Dynamic Behavior of the System Pantograph-Catenary) (in French). PhD thesis, Ecole Doctorale de Mechanique de Lyon, Lyon, France
37.
go back to reference Seo J-H, Sugiyama H, Shabana A (2004) Large deformation analysis of the pantograph-catenary systems. Technical Report #MBS04–7-UIC, Department of Mechanical Engineering, University of Illinois at Chicago, Chicago, Illinois Seo J-H, Sugiyama H, Shabana A (2004) Large deformation analysis of the pantograph-catenary systems. Technical Report #MBS04–7-UIC, Department of Mechanical Engineering, University of Illinois at Chicago, Chicago, Illinois
38.
go back to reference Seo J-H, Sugiyama H, Shabana A (2005) Modeling pantograph-catenary interactions for multibody railroad vehicle systems. In: Goicolea J, Cuadrado J, García Orden J (eds) Proceedings of the Multibody Dynamics 2005, ECCOMAS Thematic Conference, Madrid, Spain Seo J-H, Sugiyama H, Shabana A (2005) Modeling pantograph-catenary interactions for multibody railroad vehicle systems. In: Goicolea J, Cuadrado J, García Orden J (eds) Proceedings of the Multibody Dynamics 2005, ECCOMAS Thematic Conference, Madrid, Spain
39.
go back to reference Arnold M, Simeon B (2000) Pantograph and catenary dynamics: a benchmark problem and its numerical solution. Appl Numer Math 34(4):345–362CrossRefMathSciNetMATH Arnold M, Simeon B (2000) Pantograph and catenary dynamics: a benchmark problem and its numerical solution. Appl Numer Math 34(4):345–362CrossRefMathSciNetMATH
40.
go back to reference Veitl A, Arnold M (1999) Coupled simulations of multibody systems and elastic structures. In: Ambrósio J, Schiehlen W (eds) Proceedings of EUROMECH Colloquium 404 Advances in Computational Multibody Dynamics, Lisbon, Portugal, 20–23 September 1999, pp 635–644 Veitl A, Arnold M (1999) Coupled simulations of multibody systems and elastic structures. In: Ambrósio J, Schiehlen W (eds) Proceedings of EUROMECH Colloquium 404 Advances in Computational Multibody Dynamics, Lisbon, Portugal, 20–23 September 1999, pp 635–644
41.
go back to reference Hulbert G, Ma Z-D, Wang J (2005) Gluing for dynamic simulation of distributed mechanical systems. In: Ambrósio J (ed) Advances on computational multibody systems. Springer, Dordrecht, The Netherlands, pp 69–94CrossRef Hulbert G, Ma Z-D, Wang J (2005) Gluing for dynamic simulation of distributed mechanical systems. In: Ambrósio J (ed) Advances on computational multibody systems. Springer, Dordrecht, The Netherlands, pp 69–94CrossRef
42.
go back to reference Kubler R, Schiehlen W (2000) Modular simulation in multibody system dynamics. Multibody Syst Dyn 4:107–127CrossRef Kubler R, Schiehlen W (2000) Modular simulation in multibody system dynamics. Multibody Syst Dyn 4:107–127CrossRef
43.
go back to reference Lankarani HM, Nikravesh PE (1990) A contact force model with hysteresis damping for impact analysis of multibody systems. AMSE J Mech Design 112:369–376CrossRef Lankarani HM, Nikravesh PE (1990) A contact force model with hysteresis damping for impact analysis of multibody systems. AMSE J Mech Design 112:369–376CrossRef
44.
go back to reference Hughes T (1987) The finite element method: linear static and dynamic finite element analysis. Prentice-Hall, Englewood-CliffsMATH Hughes T (1987) The finite element method: linear static and dynamic finite element analysis. Prentice-Hall, Englewood-CliffsMATH
45.
go back to reference Newmark NM (1959) A method of computation for structural dynamics. J Eng Mech 85:67–94 Newmark NM (1959) A method of computation for structural dynamics. J Eng Mech 85:67–94
46.
go back to reference Augusta Neto M, Ambrósio J (2003) Stabilization methods for the integration of differential-algebraic equations in the presence of redundant constraints. Multibody Syst Dyn 10:81–105CrossRefMathSciNetMATH Augusta Neto M, Ambrósio J (2003) Stabilization methods for the integration of differential-algebraic equations in the presence of redundant constraints. Multibody Syst Dyn 10:81–105CrossRefMathSciNetMATH
47.
48.
go back to reference Nikravesh P (1988) Computer-aided analysis of mechanical systems. Prentice-Hall, Englewood Cliffs Nikravesh P (1988) Computer-aided analysis of mechanical systems. Prentice-Hall, Englewood Cliffs
49.
go back to reference Rauter F, Pombo J, Ambrósio J, Chalansonnet J, Bobillot A, Pereira P (2007) Contact model for the pantograph-catenary interaction. JSME Int J Syst Design Dyn 1(3):447–457CrossRef Rauter F, Pombo J, Ambrósio J, Chalansonnet J, Bobillot A, Pereira P (2007) Contact model for the pantograph-catenary interaction. JSME Int J Syst Design Dyn 1(3):447–457CrossRef
50.
go back to reference Ambrósio J, Pombo J, Rauter F, Pereira M (2008) A memory based communication in the co-simulation of multibody and finite element codes for pantograph-catenary interaction simulation. In: Bottasso CL (ed) Multibody dynamics. Springer, Dordrecht, The Netherlands, pp 231–252CrossRef Ambrósio J, Pombo J, Rauter F, Pereira M (2008) A memory based communication in the co-simulation of multibody and finite element codes for pantograph-catenary interaction simulation. In: Bottasso CL (ed) Multibody dynamics. Springer, Dordrecht, The Netherlands, pp 231–252CrossRef
51.
go back to reference SNCF (2005) Numerical and experimental analysis of a pantograph (Analyse numérique et experimentale d’un pantograph) (in French). Paris, France SNCF (2005) Numerical and experimental analysis of a pantograph (Analyse numérique et experimentale d’un pantograph) (in French). Paris, France
Metadata
Title
A Flexible Multibody Pantograph Model for the Analysis of the Catenary–Pantograph Contact
Authors
Jorge Ambrósio
Frederico Rauter
João Pombo
Manuel S. Pereira
Copyright Year
2011
Publisher
Springer Netherlands
DOI
https://doi.org/10.1007/978-90-481-9971-6_1

Premium Partners