Structural and Multidisciplinary Optimization

, Volume 59, Issue 4, pp 1053–1073 | Cite as

Integrated layout and topology optimization design of multi-component systems under harmonic base acceleration excitations

  • Tao Liu
  • Ji-Hong ZhuEmail author
  • Wei-Hong ZhangEmail author
  • Hua Zhao
  • Jie Kong
  • Tong Gao
Research Paper


The integrated optimization of component layout and structural topology is studied in this paper to improve the dynamic performance of the multi-component structure systems under harmonic base acceleration excitations. Considering linear systems, including multi-point constraints interconnecting the components and structures as an integrity, the dynamic responses and the corresponding design sensitivities are analytically derived based on the mode acceleration method. To obtain precise dynamic response, structural real damping characteristics are measured using vibration experiments, which are relevant to the structural dynamic response, especially when the excitation frequencies fall into the resonant frequency band. Further verifications are done by the comparison of Rayleigh damping, constant damping ratio, and hysteretic damping model with experimental results of structures achieved by resin-based additive manufacturing. In this way, structural real damping characteristics are taken into account in the integrated optimization. Numerical examples and vibration testing results are presented to show the validity of the optimization procedure and its potential application in engineering.


Topology optimization Component layout optimization Base acceleration excitation Vibration experiment Damping model 



This work is supported by the National Key Research and Development Program (2017YFB1102800), the NSFC for the Excellent Young Scholars (11722219), and Key Project of the NSFC (51790171, 5171101743, 51735005).


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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 Manufacturing, School of Mechanical EngineeringNorthwestern Polytechnical UniversityXianChina
  2. 2.MIIT Laboratory of Metal Additive Manufacturing and Innovative Design, NPU-QMUL Joint Research InstituteNorthwestern Polytechnical UniversityXianChina
  3. 3.Institute of Intelligence Material and Structure, Unmanned System TechnologiesNorthwestern Polytechnical UniversityXianChina
  4. 4.Shaanxi Key Laboratory of Macromolecular Science and Technology, School of ScienceNorthwestern Polytechnical UniversityXianChina

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