Structural design of root and groove for turbine with Fourier series
Received:March 23, 2019  Revised:May 06, 2019
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DOI:10.7511/jslx20190323002
KeyWord:Fourier series  fir-tree root and groove  structural optimization  KS function  peak stress
              
AuthorInstitution
李明 大连理工大学 工业装备结构分析国家重点实验室, 大连
张小娟 大连理工大学 工业装备结构分析国家重点实验室, 大连
余德启 上海汽轮机厂有限公司 上海电气, 上海
舒伟林 上海汽轮机厂有限公司 上海电气, 上海
程凯 上海汽轮机厂有限公司 上海电气, 上海
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Abstract:
      In this paper,we propose an optimization approach for the fir-tree root and groove of a turbine with Fourier series.The root and groove configuration are characterized with a combination of Fourier series and straight lines.Compared with the combination of arcs and lines,the Fourier series approach has high fidelity,completeness and wider searching domain for structural optimization and effectively reduce the number of design variables and the computational cost.For the design optimization,to avoid the iterative oscillation and convergence problem caused by the objective function to minimize the peak stress in existing research,the KS function is employed to aggregate the stress values,which is helpful to reduce the nonlinear level of the optimization problem and ensure the stable convergence.Taking fir-tree root and groove with three teeth as an example,the Fourier series-line approach and the KS aggregation function are effective to reduce the stress level of the turbine root and groove and improve the reliability of a turbine structure.Meanwhile,the characterization and optimization approach proposed in our paper has a high versatility and promising industrial applications,and can be easily extended to configuration optimization for other industrial structures.