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Truss topology optimization under uncertain nodal locations with proportional topology optimization method
- Source :
- Mechanics Based Design of Structures and Machines. 45:190-206
- Publication Year :
- 2016
- Publisher :
- Informa UK Limited, 2016.
-
Abstract
- This paper presents an approach to solving truss topology optimization problem with small uncertainty in the locations of the structural nodes. The nodal locations in the truss are assumed to be random, and the probabilistic method is used here to deal with the uncertainty. The objective of the optimization problem is to minimize the mean compliance of the truss structure under nodal location uncertainty. It is a well-acknowledged barrier to compute the inverse of the structural stiffness matrix which involves variations in the optimization problem. In this paper, based on Neumann series expansion, this optimization problem can be recast into a simpler deterministic structural optimization problem. In order to avoid the sensitivity calculations for the objective function, the proportional topology optimization method which shows comparable efficiency and accuracy with gradient-based method is used. The numerical examples demonstrate the effectiveness and high efficiency of the proposed approach, and f...
- Subjects :
- Continuous optimization
Mathematical optimization
Optimization problem
Mechanical Engineering
General Mathematics
Probabilistic-based design optimization
Topology optimization
Aerospace Engineering
Truss
Ocean Engineering
02 engineering and technology
Condensed Matter Physics
01 natural sciences
010101 applied mathematics
Vector optimization
020303 mechanical engineering & transports
0203 mechanical engineering
Mechanics of Materials
Automotive Engineering
Random optimization
0101 mathematics
Civil and Structural Engineering
Stiffness matrix
Mathematics
Subjects
Details
- ISSN :
- 15397742 and 15397734
- Volume :
- 45
- Database :
- OpenAIRE
- Journal :
- Mechanics Based Design of Structures and Machines
- Accession number :
- edsair.doi...........b4672e22845493a694951e3132965817