NDLI: Alpha shape based design space decomposition for island failure regions in reliability based design

Content Provider	Springer Nature Link
Author	Ganapathy, Harish Ramu, Palaniappan Muthuganapathy, Ramanathan
Copyright Year	2015
Abstract	Treatment of uncertainties in structural design involves identifying the boundaries of the failure domain to estimate reliability. When the structural responses are discontinuous or highly nonlinear, the failure regions tend to be an island in the design space. The boundaries of these islands are to be approximated to estimate reliability and perform optimization. This work proposes Alpha (α) shapes, a computational geometry technique to approximate such boundaries. The α shapes are simple to construct and only require Delaunay Tessellation. Once the boundaries are approximated based on responses sampled in a design space, a computationally efficient ray shooting algorithm is used to estimate the reliability without any additional simulations. The proposed approach is successfully used to decompose the design space and perform Reliability based Design Optimization of a tube impacting a rigid wall and a tuned mass damper.
Starting Page	121
Ending Page	136
Page Count	16
File Format	PDF
ISSN	1615147X
Journal	Structural and Multidisciplinary Optimization
Volume Number	52
Issue Number	1
e-ISSN	16151488
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2015-01-18
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Alpha shape Reliability Island failure region Design space decomposition Optimization Theoretical and Applied Mechanics Computational Mathematics and Numerical Analysis Engineering Design
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Computer Graphics and Computer-Aided Design Control and Systems Engineering Computer Science Applications Software

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