A sequentially coupled shape and topology optimization method

Research output: Contribution to conferencePosterAcademic

Abstract

Topology optimization is a widely-used technique for finding the most favorable, internal structural lay-out with a minimal weight under the specific loading and boundary conditions applied[1,2]. Accordingly, within a finite element setting this technique searches for the optimal relative density of a fixed, discretized spatial domain representing the actual structure. To enable more diversity within the design domain and to enlarge the search space of optimal structural configurations, in the present work a coupled method for topology optimization and shape optimization is proposed. The method incorporates the shape design variables into a SIMP (Simplified Isotropic Material with Penalization) topology optimization formulation, whereby the shape and topology optimization steps are performed in a sequential manner. The computational efficiency of the method is warranted by using Non-Uniform Rational B-Splines (NURBS) for describing the outer shape of the design domain, and by combining gradient-based optimization solvers with analytically derived shape and topology sensitivities. The coupled method has been implemented in a finite element framework to analyze 2D, 2.5D, and 3D structural design problems. The results of representative case studies clearly show that the features of the design domain can have a large influence on the final topology calculated. Additionally, the optimization sequence in the coupled method may affect the path followed within the design space; however, this typically only has a minor effect on the final computational result.


[1] Bendsøe, M.P., Sigmund, O. (2004). Topology optimization by distribution of isotropic Material. In Topology Optimization (pp. 1-69). Springer, Berlin, Heidelberg.
[2] Sigmund, O., Maute, K. (2013). Topology optimization approaches. Structural and Multidisciplinary Optimization, 48(6), 1031-1055.


Conference

Conference13th World Congress on Computational Mechanics
Abbreviated titleWCCM
CountryUnited States
CityNew York
Period22/07/1827/07/18
Internet address

Fingerprint

Shape optimization
Topology
Computational efficiency
Structural design
Splines
Boundary conditions

Keywords

  • Structural design
  • Shape optimization
  • Topology optimization
  • Coupled model

Cite this

Wang, Z., Suiker, A. S. J., Hofmeyer, H., van Hooff, T., & Blocken, B. J. E. (2018). A sequentially coupled shape and topology optimization method. Poster session presented at 13th World Congress on Computational Mechanics , New York, United States.
Wang, Z. ; Suiker, A.S.J. ; Hofmeyer, H. ; van Hooff, T. ; Blocken, B.J.E./ A sequentially coupled shape and topology optimization method. Poster session presented at 13th World Congress on Computational Mechanics , New York, United States.
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Wang, Z, Suiker, ASJ, Hofmeyer, H, van Hooff, T & Blocken, BJE 2018, 'A sequentially coupled shape and topology optimization method' 13th World Congress on Computational Mechanics , New York, United States, 22/07/18 - 27/07/18, .

A sequentially coupled shape and topology optimization method. / Wang, Z.; Suiker, A.S.J.; Hofmeyer, H.; van Hooff, T.; Blocken, B.J.E.

2018. Poster session presented at 13th World Congress on Computational Mechanics , New York, United States.

Research output: Contribution to conferencePosterAcademic

TY - CONF

T1 - A sequentially coupled shape and topology optimization method

AU - Wang,Z.

AU - Suiker,A.S.J.

AU - Hofmeyer,H.

AU - van Hooff,T.

AU - Blocken,B.J.E.

PY - 2018/7/25

Y1 - 2018/7/25

N2 - Topology optimization is a widely-used technique for finding the most favorable, internal structural lay-out with a minimal weight under the specific loading and boundary conditions applied[1,2]. Accordingly, within a finite element setting this technique searches for the optimal relative density of a fixed, discretized spatial domain representing the actual structure. To enable more diversity within the design domain and to enlarge the search space of optimal structural configurations, in the present work a coupled method for topology optimization and shape optimization is proposed. The method incorporates the shape design variables into a SIMP (Simplified Isotropic Material with Penalization) topology optimization formulation, whereby the shape and topology optimization steps are performed in a sequential manner. The computational efficiency of the method is warranted by using Non-Uniform Rational B-Splines (NURBS) for describing the outer shape of the design domain, and by combining gradient-based optimization solvers with analytically derived shape and topology sensitivities. The coupled method has been implemented in a finite element framework to analyze 2D, 2.5D, and 3D structural design problems. The results of representative case studies clearly show that the features of the design domain can have a large influence on the final topology calculated. Additionally, the optimization sequence in the coupled method may affect the path followed within the design space; however, this typically only has a minor effect on the final computational result.[1] Bendsøe, M.P., Sigmund, O. (2004). Topology optimization by distribution of isotropic Material. In Topology Optimization (pp. 1-69). Springer, Berlin, Heidelberg.[2] Sigmund, O., Maute, K. (2013). Topology optimization approaches. Structural and Multidisciplinary Optimization, 48(6), 1031-1055.

AB - Topology optimization is a widely-used technique for finding the most favorable, internal structural lay-out with a minimal weight under the specific loading and boundary conditions applied[1,2]. Accordingly, within a finite element setting this technique searches for the optimal relative density of a fixed, discretized spatial domain representing the actual structure. To enable more diversity within the design domain and to enlarge the search space of optimal structural configurations, in the present work a coupled method for topology optimization and shape optimization is proposed. The method incorporates the shape design variables into a SIMP (Simplified Isotropic Material with Penalization) topology optimization formulation, whereby the shape and topology optimization steps are performed in a sequential manner. The computational efficiency of the method is warranted by using Non-Uniform Rational B-Splines (NURBS) for describing the outer shape of the design domain, and by combining gradient-based optimization solvers with analytically derived shape and topology sensitivities. The coupled method has been implemented in a finite element framework to analyze 2D, 2.5D, and 3D structural design problems. The results of representative case studies clearly show that the features of the design domain can have a large influence on the final topology calculated. Additionally, the optimization sequence in the coupled method may affect the path followed within the design space; however, this typically only has a minor effect on the final computational result.[1] Bendsøe, M.P., Sigmund, O. (2004). Topology optimization by distribution of isotropic Material. In Topology Optimization (pp. 1-69). Springer, Berlin, Heidelberg.[2] Sigmund, O., Maute, K. (2013). Topology optimization approaches. Structural and Multidisciplinary Optimization, 48(6), 1031-1055.

KW - Structural design

KW - Shape optimization

KW - Topology optimization

KW - Coupled model

M3 - Poster

ER -

Wang Z, Suiker ASJ, Hofmeyer H, van Hooff T, Blocken BJE. A sequentially coupled shape and topology optimization method. 2018. Poster session presented at 13th World Congress on Computational Mechanics , New York, United States.