When a multipiece frame structure is designed, not only its topological layout but also assembly locations should be determined. This paper presents a compliance-minimizing topology optimization technique to determine an optimal layout configuration and to suggest candidate assembly locations. The technique employs a ground beam-joint model and places candidate assembly joints where the values of joint stiffness are relatively small. The zero-length joint elements have varying stiffness controlled by real-valued design variables. Because joint stiffness values at the converged state can be utilized to select candidate assembly locations along with their strengths, the technique is extremely useful in multipiece frame structure design. Because structural properties of ground beams can have only discrete values or remain unchanged for optimization process, no poststructural modification is required in an actual manufacturing step.
Issue Section:
Design Automation
1.
Bendsøe
, M. P.
, and Kikuchi
, N.
, 1988, “Generating Optimal Topologies in Structural Design Using a Homogenization Method
,” Comput. Methods Appl. Mech. Eng.
0045-7825, 71
, pp. 197
–224
.2.
Díaz
, A. R.
, and Kikuchi
, N.
, 1992, “Solutions to Shape and Topology Eigenvalue Optimization Problems Using a Homogenization Method
,” Int. J. Numer. Methods Eng.
0029-5981, 35
, pp. 1487
–1502
.3.
Kim
, Y. Y.
, and Kim
, T. S.
, 2000, “Topology Optimization of Beam Cross Sections
,” Int. J. Solids Struct.
0020-7683, 37
, pp. 477
–493
.4.
Sigmund
, O.
, 2001, “Design of Multiphysics Actuators Using Topology Optimization—Part I: One-Material Structures
,” Comput. Methods Appl. Mech. Eng.
0045-7825, 190
, pp. 6577
–6604
.5.
Ananthasuresh
, G. K.
, Kota
, S.
, and Kikuchi
, N.
, 1994, “Strategies for Systematic Synthesis of Compliant MEMS
,” ASME Dyn. Syst. Control Div.
, 2
, pp. 677
–686
.6.
Sigmund
, O.
, and Petersson
, J.
, 1998, “Numerical Instabilities in Topology Optimization: A Survey on Procedures Dealing With Checkerboards, Mesh-Independencies and Local Minima
,” Struct. Optim.
0934-4373, 16
, pp. 68
–75
.7.
Yoon
, G. H.
, Kim
, Y. Y.
, Bendsøe
, M. P.
, and Sigmund
, O.
, 2004, “Hinge-Free Topology Optimization With Embedded Translation-Invariant Differentiable Wavelet Shrinkage
,” Struct. Multidiscip. Optim.
1615-147X, 27
, pp. 139
–150
.8.
Ben-Tal
, A.
, and Bendsøe
, M. P.
, 1993, “A New Method for Optimal Truss Topology Design
,” SIAM J. Optim.
1052-6234, 3
, pp. 322
–358
.9.
Bendsøe
, M. P.
, and Kikuchi
, N.
, 1998, “Generating Optimal Topologies in Structural Design Using a Homogenization Method
,” Comput. Methods Appl. Mech. Eng.
0045-7825, 71
, pp. 197
–224
.10.
Yoon
, G. H
, Kim
, Y. Y.
, 2005, “Element Connectivity Parameterization for Topology Optimization of Geometrically Nonlinear Structures
,” Int. J. Solids Struct.
0020-7683, 42
, pp. 1983
–2009
.11.
Jang
, G. W.
, Kim
, M. J.
, and Kim
, Y. Y.
, 2006, “Topology Optimization of Compliant Mechanisms by Ground Structures Consisting of Semi-Rigid Beams and Elastic Hinge Joints
,” IJNME
, submitted.12.
Fredricson
, H.
, Johansen
, T.
, Klarbring
, A.
, and Petersson
, J.
, 2003, “Topology Optimization of Frame Structures With Flexible Joints
,” Struct. Multidiscip. Optim.
1615-147X, 25
, pp. 199
–214
.13.
Fredricson
, H.
, 2005, “Topology Optimization of Frame Structures—Joint Penalty and Material Selection
,” Struct. Multidiscip. Optim.
1615-147X, 25
, 193
–200
.14.
Lyu
, N.
, and Saitou
, K.
, 2003, “Decomposition-Based Assembly Synthesis for Structural Stiffness
,” ASME J. Mech. Des.
1050-0472, 125
, pp. 452
–463
.15.
Lyu
, N.
, and Saitou
, K.
, 2005, “Topology Optimization of Multi-Component Structures Via Decomposition-Based Assembly Synthesis
,” ASME J. Mech. Des.
1050-0472, 127
(2
), pp. 170
–183
.16.
Back
, T.
, Hoffmeister
, F.
, and Schwefel
, H.-P.
, 1991, “A Survey of Evolutionary Strategies
,” International Conference on Genetic Algorithms
, pp. 2
–9
.17.
Sigmund
, O.
, and Torquato
, S.
, 1997, “Design of Materials With Extreme Thermal Expansion Using a Three-Phase Topology Optimization Method
,” J. Mech. Phys. Solids
0022-5096, 45
, pp. 1037
–1067
.18.
Stegmann
, J.
, and Lund
, E.
, 2005, “Discrete Material Optimization of General Composite Shell Structures
,” IJNME
, 62
, pp. 2009
–2027
.19.
Bendsøe
, M. P.
, and Sigmund
, O.
, 1999, “Material Interpolation Schemes in Topology Optimization
,” Arch. Appl. Mech.
0939-1533, 69
, pp. 635
–654
.20.
Klarbring
, A.
, Petersson
, J.
, Torstenfelt
, B.
, and Karlsson
, M.
, 2003, “Topology Optimization of Flow Networks
,” Comput. Methods Appl. Mech. Eng.
0045-7825, 192
, pp. 3909
–3932
.21.
Bendsøe
, M. P.
, and Sigmund
, O.
, 2003, Topology Optimization-Theory, Methods and Applications
, Springer
, Berlin
.Copyright © 2008
by American Society of Mechanical Engineers
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