China Mechanical Engineering ›› 2021, Vol. 32 ›› Issue (08): 916-920.DOI: 10.3969/j.issn.1004-132X.2021.08.005

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Reduced Basis Analysis Method for Static Response Characteristics of Parametric Structures#br#

ZHANG Zheng1,2   

  1. 1. School of Information Science and Engineering,Jishou University,Jishou,Hunan,416000
    2. The R&D Center for Agricultural and Mineral Equipment,Jishou University,Jishou, Hunan, 416000
  • Online:2021-04-25 Published:2021-05-10



  1. 1.吉首大学信息科学与工程学院,吉首,416000
  • 作者简介:张正,男,1981年生,副教授、博士。研究方向为机械设计。。
  • 基金资助:
    国家自然科学基金 (11402096);

Abstract: A reduced-basis analysis method was proposed for efficiently solving the sensitivity extremum problems of parametric structures. A continuous mapping relationship between the parameter domain and the static response set was established by reduced-basis equilibrium equation, and then the structural parameter sensitivity of the static response was analyzed in reduced-basis spaces. The corresponding reduced-basis extremum model in the global parameter domain was established based on the parameter sensitivity formula. The global domain sensitivity extremum and the Pareto front for parametric structures could be rapidly acquired online by solving the reduced-basis extremum model, where the scale was already reduced. The method herein shows good feasibility through the solution and demonstration of numerical examples of structures. 

Key words: reduced basis, parametric structure, static response, sensitivity extremum, Pareto front

摘要: 针对参数化结构的灵敏度极值问题,提出一种高效的减基分析方法。依据减基平衡方程建立参数域与静态响应集合之间的连续映射关系,在减基空间中分析静态响应的结构参数灵敏度。基于参数灵敏度计算式构建相应的全参数域减基极值模型,在线求解规模已被缩减的减基极值模型可以快速获得参数化结构的全域灵敏度极值以及Pareto前沿。通过结构数值算例的求解与演示验证了该方法具有较好的可行性。

关键词: 减基, 参数化结构, 静态响应, 灵敏度极值, Pareto前沿

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