Systematic engineering of components that employ metamaterials has expanded the mechanical design field in recent years. Yet, topology optimization remains a burdensome tool to utilize within a systematic engineering paradigm. In this work, the design of a metamaterial shear beam for a nonpneumatic wheel using a systematic, two-level design approach is discussed. A top-level design process is used to determine the geometric and effective material properties of the shear beam, and linking functions are established and validated for the design of a shear layer mesoscale structure. At the metamaterial design level, innovative homogenization and topology optimization methods are employed to determine a set of locally optimal geometric designs for the shear layer. One geometry, the auxetic honeycomb, is shown to be an optimum to the minimum volume topology optimization problem for materials subjected to pure shear boundary conditions. As such, this geometry is identified as a candidate for the shear layer.
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April 2015
Research-Article
Systematic Design Optimization of the Metamaterial Shear Beam of a Nonpneumatic Wheel for Low Rolling Resistance
Christopher Czech,
Christopher Czech
Department of Mechanical Engineering,
e-mail: christopher.d.czech@gmail.com
Clemson University
,Clemson, SC 29634-0921
e-mail: christopher.d.czech@gmail.com
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Paolo Guarneri,
e-mail: paolo.guarneri@emd.utcluj.ro
Paolo Guarneri
Technical University of Cluj-Napoca
,Cluj-Napoca, Cluj 400489
, Romania
e-mail: paolo.guarneri@emd.utcluj.ro
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Niranjan Thyagaraja,
Niranjan Thyagaraja
Department of Mechanical Engineering,
Clemson University
,Clemson, SC 29634-0921
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Georges Fadel
Georges Fadel
Department of Mechanical Engineering,
Clemson University
,Clemson, SC 29634-0921
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Christopher Czech
Department of Mechanical Engineering,
e-mail: christopher.d.czech@gmail.com
Clemson University
,Clemson, SC 29634-0921
e-mail: christopher.d.czech@gmail.com
Paolo Guarneri
Technical University of Cluj-Napoca
,Cluj-Napoca, Cluj 400489
, Romania
e-mail: paolo.guarneri@emd.utcluj.ro
Niranjan Thyagaraja
Department of Mechanical Engineering,
Clemson University
,Clemson, SC 29634-0921
Georges Fadel
Department of Mechanical Engineering,
Clemson University
,Clemson, SC 29634-0921
Contributed by the Design Automation Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received June 13, 2014; final manuscript received December 15, 2014; published online February 16, 2015. Assoc. Editor: Shinji Nishiwaki.
J. Mech. Des. Apr 2015, 137(4): 041404 (9 pages)
Published Online: April 1, 2015
Article history
Received:
June 13, 2014
Revision Received:
December 15, 2014
Online:
February 16, 2015
Citation
Czech, C., Guarneri, P., Thyagaraja, N., and Fadel, G. (April 1, 2015). "Systematic Design Optimization of the Metamaterial Shear Beam of a Nonpneumatic Wheel for Low Rolling Resistance." ASME. J. Mech. Des. April 2015; 137(4): 041404. https://doi.org/10.1115/1.4029518
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