基于NURBS曲线的提花机拉刀结构优化  

STRUCTURE OPTIMIZATION OF JACQUARD LIFTING KNIFE ON NURBS CURVE

作　　者：杨振宁 李玉良 YANG ZhenNing;LI YuLiang(College of Mechanical Engineering,Donghua University,Shanghai 201620,China;Institute of Artificial Intelligence,Donghua University,Shanghai 201620,China;Industrial Big Data and Intelligent System Engineering Technology Research Center of Shanghai,Donghua University,Shanghai 201620,China)

机构地区：[1]东华大学机械工程学院,上海201620 [2]东华大学人工智能研究院,上海201620 [3]东华大学上海工业大数据与智能系统工程技术研究中心,上海201620

出　　处：《机械强度》2024年第3期611-617,共7页Journal of Mechanical Strength

基　　金：国家自然科学基金(52175219)资助。

摘　　要：针对大型提花机承受载荷时易发生弯曲变形导致拉刀提升高度不够,使直针钩子无法被电磁装置吸附的问题,首先对拉刀结构、载荷以及曲柄滑块驱动机构运动情况进行分析。其次,基于变截面梁理论和结构优化的方法,采用非均匀有理B样条(Non-Uniform Rational B-Splines,NURBS)曲线表达拉刀侧面、截面形状,通过数值方法计算拉刀截面惯性矩函数、弯矩函数,并通过有限差分法计算拉刀变形量。通过有限元方法(Finite Element Method,FEM)、等效为等截面梁的方法对挠度计算方法进行验证,误差在10%以内。最后,以最小质量为目标,采用原-对偶不可行内点算法对拉刀结构进行优化。优化结果表明,相较于优化初值模型,拉刀质量减小约17%,最大挠度减小约2667%。In view of the problem that large jacquard machine was prone to bending deformation when bearing load,resulting in insufficient lifting height of lifting knife,so that the straight needle hook can not be caught by the electromagnetic device.Firstly,the structure,load and movement of crank slider driving mechanism were analyzed.Secondly,based on the theory of variable cross⁃section beam and the method of structure optimization,non uniform rational B⁃splines(NURBS)method was used to express the side and cross⁃section shape of the lifting knife.Inertia moment function and bending moment function of the lifting knife cross⁃section were calculated by numerical method,and deflection of the lifting knife was calculated by finite difference method.The deflection calculation method in this paper was verified by the finite element method(FEM)and equivalent beam method with an error of less than 10%.Finally,aiming at the minimum quality,the primal⁃dual infeasible⁃interior⁃point algorithm was used to optimize the lifting knife structure.The optimization result shows that compared with the optimized initial value model,the mass of lifting knife decreases by about 17%and the maximum deflection decreases by about 2667%.

关 键 词：提花机 拉刀 变截面梁 NURBS方法 弯曲变形 结构优化 

分 类 号：TS183[轻工技术与工程—纺织材料与纺织品设计]