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RESEARCH PAPERS

Structural Optimization Using Function-Oriented Elements to Support Conceptual Designs

[+] Author and Article Information
Akihiro Takezawa, Kazuhiro Izui, Masataka Yoshimura

Department of Precision Engineering, Kyoto University, Yoshida-honmachi, Sakyo-ku, Kyoto, 606-8501, Japan

Shinji Nishiwaki1

Department of Precision Engineering, Kyoto University, Yoshida-honmachi, Sakyo-ku, Kyoto, 606-8501, Japanshinji@prec.kyoto-u.ac.jp

1

Corresponding author.

J. Mech. Des 128(4), 689-700 (Sep 17, 2005) (12 pages) doi:10.1115/1.2198257 History: Received August 27, 2004; Revised September 17, 2005

This paper presents a new structural optimization method that supports decision-making processes to obtain innovative designs at the conceptual design phase. This method is developed based on structural and function-oriented elements, such as frame and panel elements that have specific functions. For each of the frame elements, the rotational angle denoting the principal direction of the second moment of inertia is included as a design variable, and a procedure to obtain the optimal angle is derived from Karush-Kuhn-Tucker conditions. For the panel elements, two types of panel elements are introduced based the assumed stress method. Several examples are provided to show the utility of the methodology presented here for mechanical design engineers.

Copyright © 2006 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Elastic structure subjected to a force

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Figure 2

Configuration of frame element

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Figure 3

Design variables in frame element cross sections

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Figure 4

Configuration of panel element

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Figure 5

Flowchart of optimization procedure

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Figure 6

Design domain for 2D model

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Figure 7

Optimal panel configurations and strain energy density distribution of 2D model (VPU=30%)

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Figure 8

Relation between optimal configurations and strain energy density distribution, and total volume constraints

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Figure 9

Frame element with an ellipsoidal cross section

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Figure 10

Relation between mean compliance and rotational angle

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Figure 11

Design domain for 3D model

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Figure 12

Optimal configuration of 3D model composed of only frame elements (α=0.5, VBU=50%)

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Figure 13

Optimal configuration of 3D model composed of frame elements and panel elements (α=0.5, VBU=50%, VPU=10%)

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Figure 14

Optimal configuration of 3D model composed of frame elements and panel elements (α=0.25, VBU=50%, VPU=10%)

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Figure 15

Initial optimization settings for frame and panel reinforcements in T-shaped automotive body part

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Figure 16

T-shaped body part optimal reinforcements (α=0.25, VBU=30%, VPU=10%)

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