基于Lotka-Volterra模型的复杂产品设计指标分解关联定量分析

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关键词：设计指标；正向设计；Lotka-Volterra模型；关联建模；定量分析中图分类号：TP391DOI：10.3969/j.issn.1004-132X.2025.07.010 开放科学（资源服务）标识码（OSID）：

Quantitative Analysis of Correlation for Complex Product Design Indicator Decomposition Based on Lotka-Volterra Model

GU Sunquan ZHANG Haizhu* LI Rong RAO Ba WANG Hao School of Mechanical Engineering，Southwest Jiaotong University，Chengdu，610031

Abstract： Aiming at the problems of the correlations in the evolution processes of product design indicators made the decomposed sub-functional structure design indicators overestimated or underestimated，and the decomposition of design indicators was similar to community ecology，a method of quantitative analysis of the correlations in the decomposition of design indicators was proposed based on the Lotka-Volterra model. Firstly，the complex product evolution processes were analysed，then the ecological subjects and correlations in design indicators decomposition was defined. Secondly，the decomposition correlation model between system and sub-functional structure design indicators was constructed based on the Lotka-Volterra model，and the coeficients were solved by using the RungeKuta combined with the least-squares method to quantitatively analyze the correlation among design indicators.Finally，the effectiveness of the method was verified by taking the example of solving the correlation between the energy consumption of high-speed train system and the design indicators of sub-functional structure. The findings show that the methodology may quantify the interaction between identifying complex product design indicators in the evolution processes and may provide a quantitative basis for positive directions towards innovative design priority breakthroughs.

Key words： design indicator; forward design; Lotka-Volterra model; correlation modeling; quantitative analysis

0 引言

产品设计指标作为正向设计的输入，是描述产品设计条件、使用效能以及工程质量的技术量度[]。（剩余14778字）