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A Two-Level Cross-Sectional Optimization Approach for Automotive Body Concept Design

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Abstract

Concept design is vital important in development of auto-body and it has great effects on later design work. In this paper, a two-level cross-sectional optimization approach is presented to shorten concept design cycles. First, an exact structural analysis approach for spatial semi-rigid framed structures, i.e., the transfer stiffness matrix method proposed in our previous study, is adopted for both static and dynamic analyses of body-in-white (BIW) structure. A two-level cross-sectional optimization approach is then proposed for an automotive BIW lightweight design, and genetic algorithm is used to solve the optimization models. Afterward, an object-oriented MATLAB toolbox, using distributed parallel computing techniques, is developed to promote the concept design of the BIW structure. Finally, relevant numerical examples demonstrate the validity and accuracy of the proposed method.

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Abbreviations

TSMM:

Transfer stiffness matrix method

TMM:

Transfer matrix method

BIW:

Body-in-white

GA:

Genetic algorithm

k :

Local stiffness matrix

u :

Displacement vector

Q :

End force vector

T :

Transfer stiffness matrix

S :

Structural stiffness matrix

d :

Unknown joint displacement vector

P :

Joint load vector

DOF:

Degree of freedom

abcd:

Auto-body concept design

h :

Height of thin-walled rectangular section

w :

Width of thin-walled rectangular section

t :

Thickness of thin-walled rectangular section

m :

BIW conceptual structure mass function

\(\delta \) :

Maximum vertical deflection

\(\phi \) :

Twist angle

\(\mathrm{freq}\) :

First-order eigenfrequency

x :

Design variable vector

LB :

Lower bound

UB :

Upper bound

\(\theta \) :

Counterclockwise angle

SV:

Scale vector coefficient

\({n}^{\prime }_\mathrm{aa}\) :

Number of acute angle

\({n}^{\prime }_\mathrm{ip}\) :

Number of intersection point

\({n}^{\prime }_\mathrm{ii} \) :

Number of invalid interior point

OPM:

Optimum

\(S_\mathrm{p}\) :

Speedup of the parallel algorithm

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Acknowledgements

The authors acknowledge financial support from the National Natural Science Foundation of China (No. 51475152).

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Authors and Affiliations

  1. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, 410082, China

    Huan Qin, Zijian Liu, Yu Liu & Haolong Zhong

  2. College of Mechanical and Vehicle Engineering, Hunan University, Changsha, 410082, China

    Huan Qin, Zijian Liu, Yu Liu & Haolong Zhong

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  1. Huan Qin
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  2. Zijian Liu
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  3. Yu Liu
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  4. Haolong Zhong
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Correspondence to Zijian Liu.

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Qin, H., Liu, Z., Liu, Y. et al. A Two-Level Cross-Sectional Optimization Approach for Automotive Body Concept Design. Automot. Innov. 1, 122–130 (2018). https://doi.org/10.1007/s42154-018-0022-z

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