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An efficient design sensitivity analysis using element energies for topology optimization of a frequency response problem
Accepted Manuscript An efficient design sensitivity analysis using element energies for topology optimization of a frequency response problem Jaesoon Jung, Jaeyub Hyun, Seongyeol Goo, Semyung Wang PII: DOI: Reference:
S0045-7825(15)00211-X http://dx.doi.org/10.1016/j.cma.2015.06.019 CMA 10651
To appear in:
Comput. Methods Appl. Mech. Engrg.
Received date: 24 November 2014 Revised date: 25 June 2015 Accepted date: 26 June 2015 Please cite this article as: J. Jung, J. Hyun, S. Goo, S. Wang, An efficient design sensitivity analysis using element energies for topology optimization of a frequency response problem, Comput. Methods Appl. Mech. Engrg. (2015), http://dx.doi.org/10.1016/j.cma.2015.06.019 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.
Computer Methods in Applied Mechanics and Engineering (CMAME)
A n efficient design sensitivity analysis using element energies for topology optimization of a frequency response problem
Jaesoon Jung, Jaeyub H yun, Seongyeol Goo and Semyung Wang,*
School of Mechatronics, Gwangju Institute of Science and Technology, 261 Cheomdan-gwagiro, Buk-gu, Gwangju, 500-712, Republic of Korea
Submitted to Computer M ethods in A pplied M echanics and E ngineering (C M A M E)
Received ? , 2014 Revised ?, 2015 Includes 10 figures
* Corresponding author Postal Address: School of Mechatronics, Gwangju Institute of Science and Technology, 261 Cheomdan-gwagiro, Buk-gu, Gwangju, 500-712, Republic of Korea E-mail Address: [email protected] Tel. +82 62 970 2390 Fax. +82 62 970 2384
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Figure1_Truss Configuration Click here to download high resolution image
Figure2_TrussResponse Click here to download high resolution image
Figure3_Flow Chart_Updated Click here to download high resolution image
Figure4_Cantilever Configuration Click here to download high resolution image
Figure5_Topopt_Cantilever Click here to download high resolution image
Figure6_ReAnalysis Cantilever Click here to download high resolution image
Figure7_Car Configuration_Updated Click here to download high resolution image
Figure8_Car frequency response_Updated Click here to download high resolution image
Figure9_Car Sensitivity Plot_Updated Click here to download high resolution image
Table1
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H ighlights
A design sensitivity analysis (DSA) method for topology optimization is proposed.
The polarization identity is used to derive the DSA formulation.
The proposed DSA method is easy and efficient in terms of implementation effort.
The efficiency and accuracy of the proposed method are verified.
S0045-7825(15)00211-X http://dx.doi.org/10.1016/j.cma.2015.06.019 CMA 10651
To appear in:
Comput. Methods Appl. Mech. Engrg.
Received date: 24 November 2014 Revised date: 25 June 2015 Accepted date: 26 June 2015 Please cite this article as: J. Jung, J. Hyun, S. Goo, S. Wang, An efficient design sensitivity analysis using element energies for topology optimization of a frequency response problem, Comput. Methods Appl. Mech. Engrg. (2015), http://dx.doi.org/10.1016/j.cma.2015.06.019 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.
Computer Methods in Applied Mechanics and Engineering (CMAME)
A n efficient design sensitivity analysis using element energies for topology optimization of a frequency response problem
Jaesoon Jung, Jaeyub H yun, Seongyeol Goo and Semyung Wang,*
School of Mechatronics, Gwangju Institute of Science and Technology, 261 Cheomdan-gwagiro, Buk-gu, Gwangju, 500-712, Republic of Korea
Submitted to Computer M ethods in A pplied M echanics and E ngineering (C M A M E)
Received ? , 2014 Revised ?, 2015 Includes 10 figures
* Corresponding author Postal Address: School of Mechatronics, Gwangju Institute of Science and Technology, 261 Cheomdan-gwagiro, Buk-gu, Gwangju, 500-712, Republic of Korea E-mail Address: [email protected] Tel. +82 62 970 2390 Fax. +82 62 970 2384
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Computer Methods in Applied Mechanics and Engineering (CMAME)
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Figure1_Truss Configuration Click here to download high resolution image
Figure2_TrussResponse Click here to download high resolution image
Figure3_Flow Chart_Updated Click here to download high resolution image
Figure4_Cantilever Configuration Click here to download high resolution image
Figure5_Topopt_Cantilever Click here to download high resolution image
Figure6_ReAnalysis Cantilever Click here to download high resolution image
Figure7_Car Configuration_Updated Click here to download high resolution image
Figure8_Car frequency response_Updated Click here to download high resolution image
Figure9_Car Sensitivity Plot_Updated Click here to download high resolution image
Table1
u
Table2
E S E1
ESE2
E S E3
ESE4
ESE c / 2
a u,
Table3
EKE1
EKE 2
E K E3
EKE 4
EKE c / 2
2 d u,
Table4
' EM
' DM
' EM / ' DM (%)
Table5
1 1
1
'1
'1 / 1
ψ 2 ( + δ ) ψ 2 ( − δ )
Δψ 2
ψ '2
ψ ' 2 / Δ ψ 2
H ighlights
A design sensitivity analysis (DSA) method for topology optimization is proposed.
The polarization identity is used to derive the DSA formulation.
The proposed DSA method is easy and efficient in terms of implementation effort.
The efficiency and accuracy of the proposed method are verified.