855
Views
18
CrossRef citations to date
0
Altmetric
Original Articles

Topology optimization for submerged buoyant structures

, , , , &
Pages 1-21 | Received 06 Aug 2015, Accepted 17 Feb 2016, Published online: 11 May 2016

References

  • Axisa, François, Josè Antunes. 2007. Modelling of Mechanical Systems: Fluid–Structure Interaction. Oxford, UK: Butterworth-Heinemann.
  • Bendsoe, M. P., and N. Kikuchi. 1988. “Generating Optimal Topologies in Structural Design Using a Homogenization Method.” Computer Methods in Applied Mechanics and Engineering 71 (2): 197–224. doi: 10.1016/0045-7825(88)90086-2
  • Bendsoe, Martin Philip, and Ole Sigmund. 2003. Topology Optimization—Theory, Methods and Applications. 2nd ed. Berlin: Springer.
  • Bourdin, B., and A. Chambolle. 2003. “Design-Dependent Loads in Topology Optimization.” ESAIM: Control, Optimisation and Calculus of Variations 9: 19–48. doi: 10.1051/cocv:2002070
  • Bruggi, M., and C. Cinquini. 2009. “An Alternative Truly-Mixed Formulation to Solve Pressure Load Problems in Topology Optimization.” Computer Methods in Applied Mechanics and Engineering 198 (17–20): 1500–1512. doi: 10.1016/j.cma.2008.12.009
  • Chen, B., E. C. N. Silva, and N. Kikuchi. 2001. “Advances in Computation Design and Optimization with Application to MEMS.” International Journal for Numerical Methods in Engineering 52 (1--2): 23–62. doi: 10.1002/nme.271
  • Clausen, A., N. Aage, and O. Sigmund. 2014. “Topology Optimization with Flexible Void Area.” Structural and Multidisciplinary Optimization 50 (6): 927–943. doi: 10.1007/s00158-014-1109-8
  • Deaton, J. D., and R. V. Grandhi. 2014. “A Survey of Structural and Multidisciplinary Continuum Topology Optimization: Post 2000.” Structural and Multidisciplinary Optimization 49 (1): 1–38. doi: 10.1007/s00158-013-0956-z
  • Du, J., and N. Olhoff. 2004. “Topological Optimization of Continuum Structures with Design-Dependent Surface Loading—Part I: New Computational Approach for 2D Problems.” Structural and Multidisciplinary Optimization 27 (3): 151–165. doi: 10.1007/s00158-004-0379-y
  • Duhring, M. B., J. S. Jensen, and O. Sigmund. 2008. “Acoustic Design by Topology Optimization.” Journal of Sound and Vibration 317 (3–5): 557–575. doi: 10.1016/j.jsv.2008.03.042
  • Hammer, V. B., and N. Olhoff. 2000. “Topology Optimization of Continuum Structures Subjected to Pressure Loading.” Structural and Multidisciplinary Optimization 19 (2): 85–92. doi: 10.1007/s001580050088
  • Huang, X., and Y. M. Xie. 2007. “Convergent and Mesh-Independent Solutions for the Bi-Directional Evolutionary Structural Optimization Method.” Finite Elements in Analysis and Design 43 (14): 1039–1049. doi: 10.1016/j.finel.2007.06.006
  • Huang, X., and Y. M. Xie. 2009. “Bi-Directional Evolutionary Topology Optimization of Continuum Structures with One or Multiple Materials.” Computational Mechanics 43 (3): 393–401. doi: 10.1007/s00466-008-0312-0
  • Huang, X., and Y. M. Xie. 2010a. “A Further Review of ESO Type Methods for Topology Optimization.” Structural and Multidisciplinary Optimization 41 (5): 671–683. doi: 10.1007/s00158-010-0487-9
  • Huang, Xiaodong, and Mike Xie. 2010b. Evolutionary Topology Optimization of Continuum Structures: Methods and Applications. Chichester, UK: Wiley.
  • Huang, X., S. Zhou, G. Sun, G. Li, and Y. M. Xie. 2015. “Topology Optimization for Microstructures of Viscoelastic Composite Materials.” Computer Methods in Applied Mechanics and Engineering 283: 503–516. doi: 10.1016/j.cma.2014.10.007
  • Lee, E., J. R. R. A. Martins. 2012. “Structural Topology Optimization with Design-Dependent Pressure Loads.” Computer Methods in Applied Mechanics and Engineering 233–236: 40–48. doi: 10.1016/j.cma.2012.04.007
  • Luenberger, David G., and Yinyu Ye. 2008. Linear and Nonlinear Programming. 3rd ed. New York: Springer.
  • Luo, Z., N. Zhang, J. Ji, and T. Wu. 2012. “A Meshfree Level-Set Method for Topological Shape Optimization of Compliant Multiphysics Actuators.” Computer Methods in Applied Mechanics and Engineering 223–224: 133–152. doi: 10.1016/j.cma.2012.02.011
  • Morand, Henri J. P., and Ohayon Roger. 1995. Fluid Structure Interaction—Applied Numerical Methods. Paris: Masson/Chichester, UK: Wiley.
  • Picelli, Renato. 2015. “Evolutionary Topology Optimization of Fluid–Structure Interaction Problems.” PhD diss., University of Campinas.
  • Picelli, R., W. M. Vicente, and R. Pavanello. 2015. “Bi-Directional Evolutionary Structural Optimization for Design-Dependent Fluid Pressure Loading Problems.” Engineering Optimization 47 (10): 1324–1342. doi: 10.1080/0305215X.2014.963069
  • Picelli, R., W. M. Vicente, R. Pavanello, and Y. M. Xie. 2015a. “Evolutionary Topology Optimization for Natural Frequency Maximization Considering Acoustic–Structure Interaction.” Finite Elements in Analysis and Design 106: 56–64. doi: 10.1016/j.finel.2015.07.010
  • Picelli, R., W. M. Vicente, R. Pavanello, and F. van Keulen. 2015b. “Topology Optimization Considering Design-Dependent Stokes Flow Loads.” In Proceedings of the 11th World Congress of Structural and Multidisciplinary Optimization (WCSMO-11), Sydney, Australia.
  • Querin, O. M., G. P. Steven, and Y. M. Xie. 1998. “Evolutionary Structural Optimisation (ESO) Using a Bidirectional Algorithm.” Engineering Computations 15 (8): 1031–1048. doi: 10.1108/02644409810244129
  • Saito, D., L. R. S. Cordeiro, F. A. Castro, C. J. Medeiros, and G. D. Ribeiro. 2011. “Innovative Supports of Risers and Corresponding Installation Procedures.” In ASME Proceedings of the 30th International Conference on Ocean, Offshore and Arctic Engineering, 19–24 June 2011, Rotterdam, The Netherlands, Vol. 4: Pipeline and Riser Technology.
  • Shu, L., M. Y. Wang, and Z. Ma. 2014. “Level Set Based Topology Optimization of Vibrating Structures for Coupled Acoustic–Structure Dynamics.” Computers and Structures 132: 34–42. doi: 10.1016/j.compstruc.2013.10.019
  • Sigmund, O., and P. M. Clausen. 2007. “Topology Optimization Using a Mixed Formulation: An Alternative Way to Solve Pressure Load Problems.” Computer Methods in Applied Mechanics and Engineering 196 (13–16): 1874–1889. doi: 10.1016/j.cma.2006.09.021
  • Sigmund, O., and J. Peterson. 1998. “Numerical Instabilities in Topology Optimization: A Survey on Procedures Dealing with Checkerboards, Mesh-Dependencies and Local Minima.” Structural Optimization 16 (1): 68–75. doi: 10.1007/BF01214002
  • Silva, F. I., and R. Pavanello. 2010. “Synthesis of Porous–Acoustic Absorbing Systems by an Evolutionary Optimization Method.” Engineering Optimization 42 (10): 887–905. doi: 10.1080/03052150903477184
  • van Dijk, N. P., K. Maute, M. Langelaar, and F. van Keulen. 2013. “Level-Set Methods for Structural Topology Optimization: A Review.” Structural and Multidisciplinary Optimization 48 (3): 437–472. doi: 10.1007/s00158-013-0912-y
  • Vicente, W. M., R. Picelli, R. Pavanello, and Y. M. Xie. 2015. “Topology Optimization of Frequency Responses of Fluid–Structure Interaction Systems.” Finite Elements in Analysis and Design 98: 1–13. doi: 10.1016/j.finel.2015.01.009
  • Vicente, W. M., Z. Zhihao, R. Pavanello, T. K. L. Calixto, R. Picelli, and Y. M. Xie. 2015. “Concurrent Topology Optimization for Minimizing Frequency Responses of Two-Level Hierarchical Structures.” Computer Methods in Applied Mechanics and Engineering 301: 116–136. doi: 10.1016/j.cma.2015.12.012
  • Xia, L., and P. Breitkopf. 2014. “Concurrent Topology Optimization Design of Material and Structure within FE2 Nonlinear Multiscale Analysis Framework.” Computer Methods in Applied Mechanics and Engineering 278: 524–542. doi: 10.1016/j.cma.2014.05.022
  • Xia, L., and P. Breitkopf. 2015. “Multiscale Structural Topology Optimization with an Approximate Constitutive Model for Local Material Microstructure.” Computer Methods in Applied Mechanics and Engineering 286: 147–167. doi: 10.1016/j.cma.2014.12.018
  • Xia, Q., M. Y. Wang, and T. Shi. 2015. “Topology Optimization with Pressure Load through a Level Set Method.” Computer Methods in Applied Mechanics and Engineering 283: 177–195. doi: 10.1016/j.cma.2014.09.022
  • Xie, Y. M., and G. P. Steven. 1993. “A Simple Evolutionary Procedure for Structural Optimization.” Computers and Structures 49 (5): 885–896. doi: 10.1016/0045-7949(93)90035-C
  • Yoon, G. H.. 2010. “Topology Optimization for Stationary Fluid–Structure Interaction Problems Using a New Monolithic Formulation.” International Journal for Numerical Methods in Engineering 82 (5): 591–616. doi: 10.1002/nme.2777
  • Yoon, G. H., J. S. Jensen, and O. Sigmund. 2007. “Topology Optimization of Acoustic–Structure Interaction Problems Using a Mixed Finite Element Formulation.” International Journal for Numerical Methods in Engineering 70 (9): 1049–1075. doi: 10.1002/nme.1900
  • Yoon, G. H., and O. Sigmund. 2008. “A Monolithic Approach for Topology Optimization of Electrostatically Actuated Devices.” Computer Methods in Applied Mechanics and Engineering 197 (45–48): 4062–4075. doi: 10.1016/j.cma.2008.04.004
  • Zhang, H., S. Liu, and X. Zhang. 2010. “Topology Optimization of 3D Structures with Design-Dependent Loads.” Acta Mechanica Sinica 26 (5): 767–775. doi: 10.1007/s10409-010-0370-3
  • Zheng, B., C. Chang, and H. C. Gea. 2009. “Topology Optimization with Design-Dependent Pressure Loading.” Structural and Multidisciplinary Optimization 38: 535–543. doi: 10.1007/s00158-008-0317-5
  • Zuo, Z. H., X. Huang, J. H. Rong, and Y. M. Xie. 2013. “Multi-Scale Design of Composite Materials and Structures for Maximum Natural Frequencies.” Materials and Design 51: 1023–1034. doi: 10.1016/j.matdes.2013.05.014

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.