Synthesis of Optimal Shape and Topology of Structures

作者: A. V. Kumar , D. C. Gossard

DOI: 10.1115/1.2826858

关键词:

摘要: In this paper, a method is proposed for the design optimization of structural components where both shape and topology are optimized. The boundaries structure represented using contours density function. contour function corresponding to threshold value defined as boundary shape. over feasible domain by continuous piece-wise interpolation finite elements used analysis. values at nodes serve variables problem. advantage representation that can be modified optimized algorithm. Unlike previous methods optimization, material not modeled porous or composite homogenization method. Instead properties assumed depend on many approximate property-density relations have been studied. with objective minimizing compliance subject constraint total mass structure.

参考文章(12)
G. Allaire, R. V. Kohn, Topology optimization and optimal shape design using homogenization Springer, Dordrecht. pp. 207- 218 ,(1993) , 10.1007/978-94-011-1804-0_14
Martin Philip Bendsøe, Alejandro Díaz, Noboru Kikuchi, Topology and Generalized Layout Optimization of Elastic Structures Springer, Dordrecht. pp. 159- 205 ,(1993) , 10.1007/978-94-011-1804-0_13
Katsuyuki Suzuki, Noboru Kikuchi, A homogenization method for shape and topology optimization Computer Methods in Applied Mechanics and Engineering. ,vol. 93, pp. 291- 318 ,(1991) , 10.1016/0045-7825(91)90245-2
Raphael T. Haftka, Ramana V. Grandhi, Structural shape optimization — a survey Applied Mechanics and Engineering. ,vol. 57, pp. 91- 106 ,(1986) , 10.1016/0045-7825(86)90072-1
Martin Philip Bendsøe, Helder Carrico Rodrigues, None, Integrated topology and boundary shape optimization of 2-D solids Applied Mechanics and Engineering. ,vol. 87, pp. 15- 34 ,(1991) , 10.1016/0045-7825(91)90144-U
Panos Y. Papalambros, Mehran Chirehdast, An Integrated Environment for Structural Configuration Design Journal of Engineering Design. ,vol. 1, pp. 73- 96 ,(1990) , 10.1080/09544829008901645
Gilbert Strang, Robert V. Kohn, Optimal design in elasticity and plasticity International Journal for Numerical Methods in Engineering. ,vol. 22, pp. 183- 188 ,(1986) , 10.1002/NME.1620220113
Martin Philip Bendsoe, Noboru Kikuchi, None, Generating optimal topologies in structural design using a homogenization method Applied Mechanics and Engineering. ,vol. 71, pp. 197- 224 ,(1988) , 10.1016/0045-7825(88)90086-2
Robert V. Kohn, Gilbert Strang, Optimal design and relaxation of variational problems, I Communications on Pure and Applied Mathematics. ,vol. 39, pp. 113- 137 ,(1986) , 10.1002/CPA.3160390107