基于NSGA-II的折腰转向机构多级液压缸布置点优化
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1.南京农业大学;2.中国烟草总公司湖南省公司;3.江苏悦达智能农业装备有限公司

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中国烟草总公司烟草农机研发与应用领域“揭榜挂帅”项目计划项目-丘陵山区专用动力底盘的研发与应用-110202301015


Optimization of Multi-stage Hydraulic Cylinder Arrangement Points in Articulated Steering Mechanisms Based on NSGA-II Algorithm
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    摘要:

    针对内点法求解折腰转向机构液压缸布置点优化问题时,对权重设定依赖性强,导致优化结果主观性大且难以有效协调冲突的问题,本文引入NSGA-II多目标优化算法,旨在实现对多个指标的综合优化。定义直线行驶时前、后液压缸布置点与车辆中心铰接点的垂直距离a、b及水平距离c、d为设计变量,以液压缸最小化行程差、力矩差与输出作用力的峰值为优化目标,采用NSGA-II求解得Pareto解集,并利用理想点法从中筛选最优的布置方案a=180mm、b=156mm、c=217mm、d=63mm。为验证优化效果,采用内点法作对比,通过熵权法赋权转化为单目标问题后进行求解。对比结果表明:NSGA-Ⅱ方案使行程差、力矩差以及液压缸作用力峰值分别降低4.56%、5.15%、6.02%。内点法虽使行程差、液压缸作用力峰值降低2.99%、1.49%,但力矩差峰值反而增加5.49%。经试验验证,行程差、力矩差以及输出作用力峰值仿真与试验误差为0.99%、3.12%与4.63%;样机最小转弯半径为241cm,优于丘陵山地拖拉机东方红MH804M,验证了NSGA-II对于该液压缸布置点优化的可行性,提升了整车的综合转向性能。

    Abstract:

    To address the issue that the interior point method exhibits strong dependence on weighting parameters when optimizing the placement points of hydraulic cylinders in a folding steering mechanism, resulting in highly subjective optimization outcomes and difficulties in effectively reconciling conflicting objectives, this paper introduces the NSGA-II multi-objective optimization algorithm. This aims to achieve comprehensive optimization across multiple key metrics, thereby enhancing the overall performance of the steering system. The parametric distances a, b, c, and d between multi-stage hydraulic cylinder placement points and the hinge points of the articulated steering structure are defined as design variables. The optimization objectives are minimizing the stroke difference, torque difference, and peak output force of the hydraulic cylinders. The NSGA-II algorithm is employed to obtain a Pareto solution set, from which the optimal layout scheme is selected using the ideal point method. To validate the optimization efficacy, the interior point method was employed as a comparative approach. Weight coefficients for each optimization objective were determined using the entropy weight method, converting the problem into a single-objective optimization for solution. The optimization outcomes of both approaches were measured against the baseline initial scheme. Comparative results indicate that, relative to the initial scheme, the NSGA-II-optimized scheme reduces stroke difference, torque difference, and peak hydraulic cylinder force by 4.56%, 5.15%, and 6.02% respectively. Although the interior point method reduced stroke deviation and peak hydraulic cylinder force by 2.99% and 1.49% respectively, its limitation to single-objective optimization resulted in a 5.49% increase in peak torque deviation, failing to achieve overall optimization. Comprehensive performance comparisons demonstrate that NSGA-II delivers superior results overall, achieving synergistic multi-objective optimization that effectively enhances steering stability and reduces energy consumption. Field trials confirmed the prototype''s minimum turning radius of 241 cm, outperforming the comparable Dongfeng MH804M tractor for hilly terrain. This performance fundamentally ensures the prototype meets steering requirements for vehicles operating in hilly and mountainous conditions.

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  • 收稿日期:2025-12-12
  • 最后修改日期:2026-03-18
  • 录用日期:2026-03-23
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