基于MATLAB的四连杆机构近似直线的线性度优化

Linearity Optimization of Approximate Straight Line of Four-bar Linkage Based on MATLAB

采用一种插值的优化方法以提高四连杆端点运动轨迹的线性度,实现升降平台近似直线平稳上升。四连杆机构各杆件长度的优化是提高线性度的关键。为了快速准确地计算四连杆各杆件长度,首先在MATLAB软件中采用插值法进行计算,然后在MATLAB中对插值法计算和优化的结果进行程序化画图,实现可视化的线性度分析。结果表明,基于MATLAB的插值法优化对四连杆机构在大行程上的近似直线线性度计算准确快速,且线性度可达到1%以下,完全满足煤矿机械的精度要求。

An interpolation optimization method is used to improve the linearity of the movement trajectory of the end point of the four-bar linkage,which realizes an approximately linear and steady rise of the lifting platform.The length optimization of each rod in the four-bar linkage is the key to improve linearity.In order to quickly and accurately calculate each rod length of the four-bar linkage,firstly,the interpolation method is utilized in MATLAB software for calculation,and then the results of the interpolation calculation and optimization are programmed in MATLAB to achieve visual linearity analysis.The results show that the approximately straight-line linearity of the four-bar linkage are optimized quickly and accurately by interpolation method based on MATLAB at large stroke,and the linearity is less than 1%,which fully meets the accuracy requirements of coal mining machinery.