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Structural and Multidisciplinary Optimization

, Volume 59, Issue 4, pp 1033–1051 | Cite as

Shape preserving design of geometrically nonlinear structures using topology optimization

  • Yu LiEmail author
  • Jihong ZhuEmail author
  • Fengwen Wang
  • Weihong Zhang
  • Ole Sigmund
Research Paper
  • 208 Downloads

Abstract

Subparts of load carrying structures like airplane windows or doors must be isolated from distortions and hence structural optimization needs to take such shape preserving constraints into account. The paper extends the shape preserving topology optimization approach from simple linear load cases into geometrically nonlinear problems with practical significance. Based on an integrated deformation energy function, an improved warpage formulation is proposed to measure the geometrical distortion during large deformations. Structural complementary elastic work is assigned as the objective function. The average distortion calculated as the integrated deformation energy accumulated in the incremental loading process is accordingly constrained to obtain warpage control. In the numerical implementation, an energy interpolation scheme is utilized to alleviate numerical instability in low stiffness regions. An additional loading case avoids isolation phenomena. Optimization results show that shape preserving design is successfully implemented in geometrically nonlinear structures by effectively suppressing local warping deformations.

Keywords

Shape preserving design Topology optimization Geometrical nonlinearity Integrated deformation energy 

Notes

Funding

Yu Li received financial support from CSC (China Scholarship Council). Fengwen Wang and Ole Sigmund received support from the Villum foundation through the VILLUM Investigator project InnoTop. This work is also supported by the National Key Research and Development Program (2017YFB1102800) and the National Natural Science Foundation of China (11722219, 11620101002, 51790171, 5171101743).

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.State IJR Center of Aerospace Design and Additive ManufacturingNorthwestern Polytechnical UniversityXianChina
  2. 2.MIIT Laboratory of Metal Additive Manufacturing and Innovative DesignNorthwestern Polytechnical UniversityXianChina
  3. 3.Department of Mechanical Engineering, Section for Solid MechanicsTechnical University of DenmarkLyngbyDenmark

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