基于矩阵传递的液压缸稳定性分析及参数优化-《集美大学学报（自然科学版）》

文章信息/Info

Title:: The Stability of Hydraulic Cylinder and Optimization Based on State Vector Matrix Transfer

作者:: 林荣川1; 郭隐彪2; 文波3; (1.集美大学机械工程学院,福建厦门 361021;2.厦门大学物理与机电工程学院,福建厦门 361005;3.厦门工程机械有限公司,福建厦门 361012)

Author(s):: LIN Rong-chuan1; GUO Yin-biao2WEN Bo3; (1.School of Mechanical Engineering,Jimei UniversityXiamen 361021China,2.School of Physics and Mechanical &Electrical Engineering,Xiamen 361005,China;3.Ximen Construction Machinery Co.Ltd,Xiamen 361012,China)

Keywords:: stability of hydraulic cylinder; two-dimensional state vector; transfer matrix method; MATLA

摘要:: 液压缸由直径不同的缸体和活塞杆构成，工程上可视为承受轴向压缩的阶梯细长压杆，须进行稳定性校核.把液压缸的每段结构视作一个受压单元,受压单元中的弯矩和剪力都分别表示二维状态向量的单元矩阵,通过各单元传递矩阵相乘,获得受压状态活塞杆两端的状态向量关系,根据液压缸两端约束条件，推导液压缸稳定性普遍方程.结合MATLAB参数优化技术，获取体积约束条件下液压缸的最优尺寸，通过和Ritz法计算结果、模型实验实测值比对，表明该计算结果更接近准确值

Abstract:: The hydraulic cylinder is composed of diverse cylindrical cases and piston rods which can be treated as a slender bar that suffers from axial compressions.So stability check must to be carried out.Each cylindrical segment was processed as a compressed unit.The bending torques and shearing forces of these units could be regarded as state vectors to solve the unit matrix.By multiplying unit transfer matrices,the correlation between state vectors of piston rod was obtained based on the constraints of hydraulic cylinder,and a generic function was deduced for cylinder stability.With integration of optimization design techniques with MATLAB,the rationale dimensions of hydraulic cylinder were obtained under volume constraint.Through comparing the results from Rits method and test,it was indicated that the calculated functional calculation results were closer to the accurate values