• ISSN 0258-2724
  • CN 51-1277/U
  • EI Compendex
  • Scopus
  • Indexed by Core Journals of China, Chinese S&T Journal Citation Reports
  • Chinese S&T Journal Citation Reports
  • Chinese Science Citation Database
Volume 54 Issue 5
Oct.  2019
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Article Contents
LI Yinqi, CHENG Wenming, LIU Huasen. Layout Optimization of Spatial Rigid Frame by Second-Order Effect Analysis[J]. Journal of Southwest Jiaotong University, 2019, 54(5): 971-979. doi: 10.3969/j.issn.0258-2724.20170863
Citation: LI Yinqi, CHENG Wenming, LIU Huasen. Layout Optimization of Spatial Rigid Frame by Second-Order Effect Analysis[J]. Journal of Southwest Jiaotong University, 2019, 54(5): 971-979. doi: 10.3969/j.issn.0258-2724.20170863

Layout Optimization of Spatial Rigid Frame by Second-Order Effect Analysis

doi: 10.3969/j.issn.0258-2724.20170863
  • Received Date: 07 Dec 2017
  • Rev Recd Date: 06 Sep 2018
  • Available Online: 14 Sep 2018
  • Publish Date: 01 Oct 2019
  • In order to handle three-dimensional spatial frame layout optimization, nonlinear rigidity matrix of the beam-column element with seven degrees of freedom was deduced by second-order elastic theory, while the geometric nonlinearity and restrained torsional warping were considered. An overall second-order analysis for rigid-frame structure was conducted by integrating the nonlinear rigidity matrices of all beam-column elements. A numerical layout optimization model of spatial rigid frame was built, which was able to satisfy the requirements for structural strength, stiffness and stability. In order to solve the numerical model, a two-way control method of reliable topology and guided genetic algorithm (KLGA) was proposed based on the improvement of the genetic algorithm (GA). In one respect, this method enables the separation of the topological variables from the layout design variables, and then integrates them after evaluating the reliable topological variable combinations based on component importance. In addition, the guidance information of structure was added in the algorithm to guide the path of global optimal solution for GA. Finally, two typical examples of rigid frame structure are presented to validate the feasibility and effectiveness of the second-order effect model and optimization method KLGA. For example, in the second-order effect model of example 2, the optimal structural mass acquired by KLGA is 24.5% less than that of GA, and its range of fluctuation promotes from 9.61% to 1.39%, indicating the stability of KLGA.

     

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