手动变速箱同步器数学模型的建立与优化  

Establishment and Optimization of the Mathematical Model about Manual Transmission Synchronizer

作　　者：伊辉[1] 王剑彬[1] 王学虎[1] 

机构地区：[1]南华大学机械工程学院,湖南衡阳421001

出　　处：《机械工程师》2017年第1期79-81,共3页Mechanical Engineer

摘　　要：通过对锁环式惯性同步器的结构、工作原理以及结合过程的分析研究,结合同步器的工作过程及同步器设计公式,以缩短同步器同步时间为目标,选取摩擦锥面锥角α、摩擦锥面的平均摩擦半径R、摩擦锥面宽度L、摩擦锥面摩擦因数μ、结合齿的锁止角β五个对同步器性能影响较大的参数对同步器进行数学建模;针对模型中设计变量、目标函数及约束条件,为了提高计算效率,利用Matlab优化工具箱中的Fmincon函数,建立非约束性M文件,然后进行数学模型优化。This paper studies the structure, working principle and process of the lock ring type inertial synchronizer. To shorten the synchronization time, the working process and designed formula of the synchronizer are used to build mathematical model of the synchronizer based on fiction cone Angle α,average friction cone radius R, friction cone width L, the friction coefficient of cone μ and combining tooth lock horns β. In view of design variable, objective function and constraint conditions of the model, Fmincon function of Matlab optimization tools is used to establish a non-binding document M to improve the computational efficiency. Then the mathematical model is optimized.

关 键 词：同步器 工作原理 数学建模 Matlab优化 

分 类 号：TP391.7[自动化与计算机技术—计算机应用技术]