The hybrid cellular automaton (HCA) algorithm is a methodology developed to simulate the process of structural adaptation in bones. This methodology incorporates a distributed control loop within a structure in which ideally localized sensor cells activate local processes of the formation and resorption of material. With a proper control strategy, this process drives the overall structure to an optimal configuration. The controllers developed in this investigation include two-position, proportional, integral and derivative strategies. The HCA algorithm combines elements of the cellular automaton (CA) paradigm with finite element analysis (FEA). This methodology has proved to be computationally efficient to solve topology optimization problems. The resulting optimal structures are free of numerical instabilities such as the checkerboarding effect. This investigation presents the main features of the HCA algorithm and the influence of different parameters applied during the iterative optimization process.
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e-mail: atovarp@unal.edu.co
e-mail: npatel@nd.edu
e-mail: gniebur@nd.edu
e-mail: msen@nd.edu
e-mail: jrenaud@nd.edu
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November 2006
Research Papers
Topology Optimization Using a Hybrid Cellular Automaton Method With Local Control Rules
Andrés Tovar,
Andrés Tovar
Associate Professor
Department of Mechanical and Mechatronic Engineering,
e-mail: atovarp@unal.edu.co
National University of Colombia
, Cr. 30 45-03, Bogotá, Colombia
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Neal M. Patel,
Neal M. Patel
Graduate Research Assistant
Department of Aerospace and Mechanical Engineering,
e-mail: npatel@nd.edu
University of Notre Dame
, Notre Dame, IN 46556
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Glen L. Niebur,
Glen L. Niebur
Assistant Professor
Department of Aerospace and Mechanical Engineering,
e-mail: gniebur@nd.edu
University of Notre Dame
, Notre Dame, IN 46556
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Mihir Sen,
Mihir Sen
Professor
Department of Aerospace and Mechanical Engineering,
e-mail: msen@nd.edu
University of Notre Dame
, Notre Dame, IN 46556
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John E. Renaud
John E. Renaud
Professor
Department of Aerospace and Mechanical Engineering,
e-mail: jrenaud@nd.edu
University of Notre Dame
, Notre Dame, IN 46556
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Andrés Tovar
Associate Professor
Department of Mechanical and Mechatronic Engineering,
National University of Colombia
, Cr. 30 45-03, Bogotá, Colombiae-mail: atovarp@unal.edu.co
Neal M. Patel
Graduate Research Assistant
Department of Aerospace and Mechanical Engineering,
University of Notre Dame
, Notre Dame, IN 46556e-mail: npatel@nd.edu
Glen L. Niebur
Assistant Professor
Department of Aerospace and Mechanical Engineering,
University of Notre Dame
, Notre Dame, IN 46556e-mail: gniebur@nd.edu
Mihir Sen
Professor
Department of Aerospace and Mechanical Engineering,
University of Notre Dame
, Notre Dame, IN 46556e-mail: msen@nd.edu
John E. Renaud
Professor
Department of Aerospace and Mechanical Engineering,
University of Notre Dame
, Notre Dame, IN 46556e-mail: jrenaud@nd.edu
J. Mech. Des. Nov 2006, 128(6): 1205-1216 (12 pages)
Published Online: January 7, 2006
Article history
Received:
March 20, 2005
Revised:
January 7, 2006
Citation
Tovar, A., Patel, N. M., Niebur, G. L., Sen, M., and Renaud, J. E. (January 7, 2006). "Topology Optimization Using a Hybrid Cellular Automaton Method With Local Control Rules." ASME. J. Mech. Des. November 2006; 128(6): 1205–1216. https://doi.org/10.1115/1.2336251
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