This content is not included in
your SAE MOBILUS subscription, or you are not logged in.
3-D Shell Topology Optimization Using a Design Domain Method
Annotation ability available
Sector:
Language:
English
Abstract
3-D shell components are used intensively in the automotive industry. Many structural topology optimization techniques were developed to reduced the total weight of shell structures while retaining its structural performance. One common approach is to utilize the concept of the design domain, such as the homogenization method and the density function approach. In this paper, a new micro-structure based design domain method is introduced to solve 3-D shell topology optimization problems. Based on physical micro-structure model, simple closed-form expressions for effective Young's modulus and effective shear modulus are rigorously derived. Using these simple relations, topology optimization problems can be formulated and solved with sequential convex approximation algorithms. Two design examples obtained from the new method are presented.
Authors
Citation
Gea, H. and Fu, Y., "3-D Shell Topology Optimization Using a Design Domain Method," SAE Technical Paper 951105, 1995, https://doi.org/10.4271/951105.Also In
References
- Bendsøe, M. P. Kikuchi, N. 1988 Generating Optimal Topologies in Structural Design Using A Homogenization Method Computer Methods in Applied Mechanics and Engineering 71 197 224
- Chickermane, H. Gea, H. C 1994 Structural Optimization Using A Generalized Convex Approximation 1994 ASME Advances in Design Automation 2 253 260
- Diaz, A. R. Kikuchi, N. 1992 Solutions to Shape and Topology Eigenvalue Optimization Problems Using a Homogenization Method International Journal of Numerical Methods in Engineering 35 1487 1502
- Eshelby, J. 1957 The Determination of the Elastic Field of an Ellipsoidal Inclusion, and Related Problems Proceedings of Royal Scoiety London A241 379 396
- Ma, Z. D. Kikuchi, N. Hagiwara, I. 1993 Structural Topology and Shape Optimization for a Frequency Response Problem Computational Mechanics 13 157 174
- Mlejnek, H. Schirrmacher, R. 1993 An Engineering Approach to Optimal Material Distribution and Shape Finding Computer Methods in Applied Mechanics and Engineering 106 1 26
- Mori, T. Tanaka, K. 1973 Average Stress in Matrix and Average Elastic Energy of Materials with Misfitting Inclusions ACTA Metallurgica 21 571 574
- Suzuki, K. Kikuchi, N. 1992 Generalized Layout Optimization of Three-Dimensional Shell Structures Field D. A. Komkov V. Geometric Aspects of Industrial Design 62 68
- Weng, G. 1984 Some Elastic Properties of Reinforced Solids, with Special Reference to Isotropic Ones Containing Spherical Inclusions International Journal of Engineering Science 22 7 845 856
- Yang, R. Chuang, C. 1994 Optimal Topology Design Using Linear Programming Computers and Structures 52 2 265 275