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Research Papers

Nonlinear Parametric Reduced-Order Model for the Structural Dynamics of Hybrid Electric Vehicle Batteries

[+] Author and Article Information
Jauching Lu

Department of Mechanical Engineering,
University of Michigan,
Ann Arbor, MI 48105
e-mail: jauching@umich.com

Kiran D'Souza

Department of Mechanical and Aerospace
Engineering,
The Ohio State University,
Columbus, OH 43235
e-mail: dsouza.60@osu.edu

Matthew P. Castanier

U.S. Army Tank Automotive Research,
Development, and Engineering Center (TARDEC),
6501 E. 11 Mile Road,
Warren, MI 48397-5000
e-mail: matthew.p.castanier.civ@mail.mil

Bogdan I. Epureanu

Department of Mechanical Engineering,
University of Michigan,
Ann Arbor, MI 48105
e-mail: epureanu@umich.edu

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received June 23, 2017; final manuscript received October 4, 2017; published online December 12, 2017. Assoc. Editor: Stefano Gonella.This work is in part a work of the U.S. Government. ASME disclaims all interest in the U.S. Government's contributions.

J. Vib. Acoust 140(2), 021018 (Dec 12, 2017) (9 pages) Paper No: VIB-17-1278; doi: 10.1115/1.4038302 History: Received June 23, 2017; Revised October 04, 2017

Battery packs used in electrified vehicles exhibit high modal density due to their repeated cell substructures. If the excitation contains frequencies in the region of high modal density, small commonly occurring structural variations can lead to drastic changes in the vibration response. The battery pack fatigue life depends strongly on their vibration response; thus, a statistical analysis of the vibration response with structural variations is important from a design point of view. In this work, parametric reduced-order models (PROMs) are created to efficiently and accurately predict the vibration response in Monte Carlo calculations, which account for stochastic structural variations. Additionally, an efficient iterative approach to handle material nonlinearities used in battery packs is proposed to augment the PROMs. The nonlinear structural behavior is explored, and numerical results are provided to validate the proposed models against full-order finite element approaches.

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Figures

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Fig. 1

Natural frequency simulation results of the academic battery pack model with repeated substructures

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Fig. 2

Structural variations: (a) prestress variation and (b) cell-to-cell variation

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Fig. 3

(a) Vibration response of the battery pack, (b) the amplitude at the center of each cell is the largest, and (c) the stiffness of cell varies with strain

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Fig. 4

Relation between states of charge and swelling

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Fig. 5

(a) Simplified battery pack model with 20 nominally identical cells and (b) each cell is comprised of several components

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Fig. 6

The vibration responses at the center of cell 10 affected by (a) prestress variations due to changes in clamping, (b) prestress variations due to changes in temperature, (c) cell-to-cell variations, and (d) nonlinearity in material

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Fig. 7

Validation results: (a) linear, cell 10, 3% prestress variation and case 1 cell-to-cell variation, (b) linear, cell 10, 3% prestress variation and case 2 cell-to-cell variation, and (c) nonlinear, cell 7, 3% prestress variation and case 2 cell-to-cell variation

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Fig. 8

(a) Linear and (b) nonlinear statistical analyses for 1000 cell-to-cell variation cases

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