On the Topology Optimization of Elastic Supporting Structures under Thermomechanical Loads

This paper is to present a thermomechanical topology optimization formulation. By designing structures that support specific nondesignable domain, optimization is to suppress the stress level in the nondesignable domain and maintain global stiffness simultaneously. A global stress measure based on p...

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Main Authors: Jie Hou, Ji-Hong Zhu, Qing Li
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:International Journal of Aerospace Engineering
Online Access:http://dx.doi.org/10.1155/2016/7372603
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author Jie Hou
Ji-Hong Zhu
Qing Li
author_facet Jie Hou
Ji-Hong Zhu
Qing Li
author_sort Jie Hou
collection DOAJ
description This paper is to present a thermomechanical topology optimization formulation. By designing structures that support specific nondesignable domain, optimization is to suppress the stress level in the nondesignable domain and maintain global stiffness simultaneously. A global stress measure based on p-norm function is then utilized to reduce the number of stress constraints in topology optimization. Sensitivity analysis employs adjoint method to derive the global stress measure with respect to the topological pseudodensity variables. Some particular behaviors in thermomechanical topology optimization of elastic supports, such as the influence of different thermomechanical loads and the existence of intermediate material, are also analyzed numerically. Finally, examples of elastic supports on a cantilever beam and a nozzle flap under different thermomechanical loads are tested with reasonable optimized design obtained.
format Article
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institution OA Journals
issn 1687-5966
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language English
publishDate 2016-01-01
publisher Wiley
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series International Journal of Aerospace Engineering
spelling doaj-art-ca82a6dcd72d47978a44f55242830d6a2025-08-20T02:19:34ZengWileyInternational Journal of Aerospace Engineering1687-59661687-59742016-01-01201610.1155/2016/73726037372603On the Topology Optimization of Elastic Supporting Structures under Thermomechanical LoadsJie Hou0Ji-Hong Zhu1Qing Li2Engineering Simulation and Aerospace Computing (ESAC), The Key Laboratory of Contemporary Design and Integrated Manufacturing Technology, Northwestern Polytechnical University, Xi’an 710072, ChinaEngineering Simulation and Aerospace Computing (ESAC), The Key Laboratory of Contemporary Design and Integrated Manufacturing Technology, Northwestern Polytechnical University, Xi’an 710072, ChinaEngineering Simulation and Aerospace Computing (ESAC), The Key Laboratory of Contemporary Design and Integrated Manufacturing Technology, Northwestern Polytechnical University, Xi’an 710072, ChinaThis paper is to present a thermomechanical topology optimization formulation. By designing structures that support specific nondesignable domain, optimization is to suppress the stress level in the nondesignable domain and maintain global stiffness simultaneously. A global stress measure based on p-norm function is then utilized to reduce the number of stress constraints in topology optimization. Sensitivity analysis employs adjoint method to derive the global stress measure with respect to the topological pseudodensity variables. Some particular behaviors in thermomechanical topology optimization of elastic supports, such as the influence of different thermomechanical loads and the existence of intermediate material, are also analyzed numerically. Finally, examples of elastic supports on a cantilever beam and a nozzle flap under different thermomechanical loads are tested with reasonable optimized design obtained.http://dx.doi.org/10.1155/2016/7372603
spellingShingle Jie Hou
Ji-Hong Zhu
Qing Li
On the Topology Optimization of Elastic Supporting Structures under Thermomechanical Loads
International Journal of Aerospace Engineering
title On the Topology Optimization of Elastic Supporting Structures under Thermomechanical Loads
title_full On the Topology Optimization of Elastic Supporting Structures under Thermomechanical Loads
title_fullStr On the Topology Optimization of Elastic Supporting Structures under Thermomechanical Loads
title_full_unstemmed On the Topology Optimization of Elastic Supporting Structures under Thermomechanical Loads
title_short On the Topology Optimization of Elastic Supporting Structures under Thermomechanical Loads
title_sort on the topology optimization of elastic supporting structures under thermomechanical loads
url http://dx.doi.org/10.1155/2016/7372603
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AT jihongzhu onthetopologyoptimizationofelasticsupportingstructuresunderthermomechanicalloads
AT qingli onthetopologyoptimizationofelasticsupportingstructuresunderthermomechanicalloads