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Technical Briefs

Severity of Tip-Out Induced Impacts in Drive Line Systems With Backlash

[+] Author and Article Information
S. W. Boere, R. H. B. Fey, H. Nijmeijer

Department of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands

A. Shukla1

Department of Mechanical and Manufacturing Engineering, Miami University, EGB 56, Oxford, OH 45056shuklaa@muohio.edu

1

Corresponding author.

J. Comput. Nonlinear Dynam 5(2), 024502 (Feb 11, 2010) (5 pages) doi:10.1115/1.4000830 History: Received May 07, 2009; Revised October 02, 2009; Published February 11, 2010; Online February 11, 2010

Numerical simulations are used to study the transient behavior of a four degree-of-freedom, rotational piecewise linear system. This study focuses on the impact between bodies in a system with backlash as a result of a sudden step input and the associated transient response. The subsequent single sided impacts and double sided impacts are studied as a function of the amplitude of the step input and the size of the backlash. Transitions have been observed between double sided impact regions and single sided impact regions, which agree with earlier findings. However, in this paper a more complete overview of the boundaries is given. The severity of the impacts is quantified with the peak-to-peak acceleration of the impacting bodies. The increase in the size of step input increases the severity of the impacts. However, the increase in backlash size leads to an extremum in impact severity. This is a possible explanation for seeming contradictions in literature.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 1

4-DOF system with backlash

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Figure 2

Numerical simulation process

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Figure 3

Global response for nominal system and loading parameters

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Figure 4

Backlash coordinate for nominal system and loading parameters; gray: backlash state; white: sticking state

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Figure 5

Close-up on primary impact for nominal system and loading parameters; gray: backlash state; white: sticking state

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Figure 6

Number and nature of primary impacts

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Figure 7

Acceleration θ̈3 for nominal system and loading parameters

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Figure 8

Peak-to-peak acceleration as a function of load ratio and backlash size

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