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Research Papers

Stability Analysis of Multibody Systems With Long Flexible Bodies Using the Moving Modes Method and Its Application to Railroad Dynamics

[+] Author and Article Information
Rosario Chamorro

e-mail: chamorro@esi.us.es

José L. Escalona

e-mail: escalona@us.es

Antonio M. Recuero

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

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received January 15, 2013; final manuscript received April 17, 2013; published online October 4, 2013. Assoc. Editor: Hiroyuki Sugiyama.

J. Comput. Nonlinear Dynam 9(1), 011005 (Oct 04, 2013) (10 pages) Paper No: CND-13-1006; doi: 10.1115/1.4025284 History: Received January 15, 2013; Revised April 17, 2013

In order to model a long flexible body subjected to a moving load within multibody systems, the flexibility can be considered by using a special floating frame of reference approach. In this approach the body deformations are described using shape functions defined in a frame of reference that follows the load. The definition of the deformation shape functions in the load-following frame of reference leads to additional terms of the inertia forces of the flexible body. This method was recently presented by the authors and named the moving modes method. The selected shape functions used in this work are the steady deformation shown by a flexible straight body subjected to a moving load. In this investigation the new formulation is applied to the steady motion and stability analysis of railroad vehicles moving on curved tracks.

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Figures

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Fig. 1

Description of the kinematics of a point

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Fig. 2

Track locally straight

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Fig. 3

Description of the kinematics with respect to the trajectory frame

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Fig. 8

(a) k = 50 MN/m2, and (b) k = 100 MN/m2; R = 4000 m (- - - flange normal force; and — lateral deformation)

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Fig. 4

Wheel and rail profiles

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Fig. 6

Left tread normal contact force: R = 4000 m (— rigid; - - - k = 100 MN/m2; and ···k = 50 MN/m2)

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Fig. 7

Flange normal contact force: (a) R = 2000 m, and (b) R = 4000 m (— rigid; - - - k = 100 MN/m2; and ···k = 50 MN/m2)

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Fig. 9

Steady state position of the wheelset (— flexible track; - - - rigid track; and ··· simplified model): (a) lateral displacement, (b) yaw angle, and (c) flange normal contact force

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Fig. 5

Wheelset lateral displacement (— rigid; - - - flexible k = 50 MN/m2)

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