Research Papers

Use of ANCF Surface Geometry in the Rigid Body Contact Problems: Application to Railroad Vehicle Dynamics

[+] Author and Article Information
Martin B. Hamper

Department of Mechanical
and Industrial Engineering,
University of Illinois at Chicago,
Chicago, IL 60607
e-mail: mhampe3@uic.edu

Cheng Wei

Department of Aerospace Engineering,
Harbin Institute of Technology,
Harbin, Heilongjiang 150001, China
e-mail: weicheng@hit.edu.cn

Ahmed A. Shabana

Department of Mechanical
and Industrial Engineering,
University of Illinois at Chicago,
Chicago, IL 60607
e-mail: shabana@uic.edu

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received October 4, 2013; final manuscript received April 11, 2014; published online January 12, 2015. Assoc. Editor: Dan Negrut.

J. Comput. Nonlinear Dynam 10(2), 021008 (Mar 01, 2015) (12 pages) Paper No: CND-13-1241; doi: 10.1115/1.4027442 History: Received October 04, 2013; Revised April 11, 2014; Online January 12, 2015

In the analysis of multibody system (MBS) dynamics, contact between two arbitrary rigid bodies is a fundamental feature in a variety of models. Many procedures have been proposed to solve the rigid body contact problem, most of which belong to one of the two categories: offline and online contact search methods. This investigation will focus on the development of a contact surface model for the rigid body contact problem in the case where an online three-dimensional nonconformal contact evaluation procedure, such as the elastic contact formulation—algebraic equations (ECF-A), is used. It is shown that the contact surface must have continuity in the second-order spatial derivatives when used in conjunction with ECF-A. Many of the existing surface models rely on direct linear interpolation of profile curves, which leads to first-order spatial derivative discontinuities. This, in turn, leads to erroneous spikes in the prediction of contact forces. To this end, an absolute nodal coordinate formulation (ANCF) thin plate surface model is developed in order to ensure second-order spatial derivative continuity to satisfy the requirements of the contact formulation used. A simple example of a railroad vehicle negotiating a turnout, which includes a variable cross-section rail, is tested for the cases of the new ANCF thin plate element surface, an existing ANCF thin plate element surface with first-order spatial derivative continuity, and the direct linear profile interpolation method. A comparison of the numerical results reveals the benefits of using the new ANCF surface geometry developed in this investigation.

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Fig. 3

ANCF thin plate element in parametric (left) and physical (right) domains

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Fig. 4

Two-element ANCF thin plate mesh

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Fig. 2

Linear interpolation lofted surface

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Fig. 7

Relationship between quintic Bezier patch control points and ANCF nodal coordinates

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Fig. 8

Suspended wheelset

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Fig. 9

ANCF quintic thin plate turnout

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Fig. 10

Y coordinate of contact point on left rail

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Fig. 11

Coordinate of contact point on left rail

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Fig. 12

Trace of contact point along quintic ANCF thin plate turnout

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Fig. 13

Normal force at left contact linear interpolation versus quintic plate

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Fig. 14

Normal force at left contact cubic plate versus quintic plate

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Fig. 5

Right hand turnout diagram (Shabana et al., 2008)

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Fig. 6

ANCF Thin plate mesh with C−1 boundary




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