Topography optimization is an innovative technique that can significantly improve the response of certain type of structures. The most challenging aspect of topography optimization is the sensitivity analysis. In this manuscript two methods to approximate the sensitivities for problems in topography optimization are introduced. The gradient is supplanted with either a stochastic approximation, or a physical approximation. Initially, an overview of the state-of-the-art in topography optimization is presented, and some key issues are explored. Subsequently, the technique is outlined, and the proposed methods are introduced. Furthermore, a numerical example in which a structure composed of shell elements is subject to a blast load is provided. This example is solved employing stochastic gradient approximation, and approximate gradient. They are compared to the widely used finite differences approximation. It is possible to observe that the proposed method significantly reduces the computational effort required to solve the problem, while considerably improving the objective function.
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ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
August 12–15, 2012
Chicago, Illinois, USA
Conference Sponsors:
- Design Engineering Division
- Computers and Information in Engineering Division
ISBN:
978-0-7918-4502-8
PROCEEDINGS PAPER
Topography Optimization of Shell Structures Under Transient Loading: A Comparative Approach Available to Purchase
Juan Camilo Medina,
Juan Camilo Medina
The University of Notre Dame, Notre Dame, IN
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Andrés Tovar
Andrés Tovar
Indiana University-Purdue University Indianapolis, Indianapolis, IN
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Juan Camilo Medina
The University of Notre Dame, Notre Dame, IN
Andrés Tovar
Indiana University-Purdue University Indianapolis, Indianapolis, IN
Paper No:
DETC2012-71510, pp. 1295-1304; 10 pages
Published Online:
September 9, 2013
Citation
Medina, JC, & Tovar, A. "Topography Optimization of Shell Structures Under Transient Loading: A Comparative Approach." Proceedings of the ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 3: 38th Design Automation Conference, Parts A and B. Chicago, Illinois, USA. August 12–15, 2012. pp. 1295-1304. ASME. https://doi.org/10.1115/DETC2012-71510
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