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Research Papers

Description of Methods for the Eigenvalue Analysis of Railroad Vehicles Including Track Flexibility

[+] Author and Article Information
José L. Escalona

Department of Mechanical and Materials Engineering,  University of Seville, Seville, Spain 41092escalona@us.es

Rosario Chamorro1

Department of Mechanical and Materials Engineering,  University of Seville, Seville, Spain 41092chamorro@esi.us.es

Antonio M. Recuero

Department of Mechanical and Materials Engineering,  University of Seville, Seville, Spain 41092amrecuero@us.es

1

Corresponding author.

J. Comput. Nonlinear Dynam 7(4), 041009 (Jun 22, 2012) (9 pages) doi:10.1115/1.4006729 History: Received September 27, 2011; Revised February 08, 2012; Published June 22, 2012; Online June 22, 2012

The stability analysis of railroad vehicles using eigenvalue analysis can provide essential information about the stability of the motion, ride quality, or passengers’ comfort. The eigenvalue analysis follows three steps: calculation of steady motion, linearization of the equations of motion, and eigenvalue calculation. This paper deals with different numerical methods that can be used for the eigenvalue analysis of multibody models of railroad vehicles that can include deformable tracks. Depending on the degree of nonlinearity of the model and coordinate selection, different methodologies can be used. A direct eigenvalue analysis is used to analyze the vehicle dynamics from the differential-algebraic equations of motion written in terms of a set of constrained coordinates. As an alternative, the equations of motion can be obtained in terms of independent coordinates taking the form of ordinary differential equations. This procedure requires more computations, but the interpretation of the results is straightforward.

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Copyright © 2012 by American Society of Mechanical Engineers
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Figures

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Figure 1

Bifurcation diagram of a railway vehicle

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Figure 2

Wheelset on circular track

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Figure 3

Wheelset dimensions

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Figure 4

Wheel and rail kinematic description with global coordinates

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Figure 5

Parameters for kinematic description of the wheel and rail surface

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Figure 6

Coordinates of a wheelset with respect to (a) the trajectory frame and (b) the global frame

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Figure 7

Multibody model in the track coordinate system

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Figure 8

Moving shape functions method

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Figure 9

(a) Real and (b) imaginary part of two least-damped eigenvalues versus forward velocity

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Figure 10

Unsuspended wheelset

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Figure 11

Steady curving on deformable track

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