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An efficient numerical method for computing the topological sensitivity of arbitrary‐shaped features in plate bending
Author(s) -
Turevsky Inna,
Gopalakrishnan Sankara Hari,
Suresh Krishnan
Publication year - 2009
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.2637
Subject(s) - bending of plates , sensitivity (control systems) , bending , feature (linguistics) , finite element method , topology (electrical circuits) , computer science , topology optimization , algorithm , plate theory , scheme (mathematics) , numerical analysis , element (criminal law) , mathematics , mathematical optimization , structural engineering , mathematical analysis , engineering , electronic engineering , linguistics , philosophy , combinatorics , law , political science
The objective of this paper is to introduce an efficient numerical scheme to compute the topological sensitivity (TS) of arbitrary‐shaped features in plate bending. The proposed method captures the first‐order change in quantities of interest (example: plate compliance) when an arbitrary‐shaped feature is created within a plate. Both the theory and algorithms are provided to rapidly compute the feature‐specific TS for the classic Kirchhoff–Love plate models. An important application of the proposed method is in design exploration/optimization wherein a designer can explore the impact of including plate features, without recourse to repeated finite element analysis. The proposed method is illustrated and validated through numerical experiments. Copyright © 2009 John Wiley & Sons, Ltd.