破碎机机构尺寸参数的设计是决定产品性能的关键。本文选择了量大面广的PE600×900鄂式破碎机为研究对象,通过建立以动颚行程特性值最小为目标函数的优化数学模型,利用MATLAB优化工具箱中的序列二次规划(SQP)算法,采用直接调用fm incon函数的方式,实现有约束条件下的破碎机机构尺寸参数优化问题的求解。优化结果显示,破碎机排料口处行程特性值为2.47,减小21.84%。其中,垂直行程由56.80 mm减少到55.24 mm,水平行程由17.99 mm增大到22.36 mm。机构的运动特性得到改善。计算结果表明,产品的生产能力由原来的49.59 m3/h提高到55.04 m3/h,提高了18.11%,且传动角仍然满足45°≤γ≤55°的要求。此外,优化后的偏心距为18.5 mm,略有减小,既不影响破碎物料必要的水平行程,使物料得以充分破碎,又降低了工作时作用在曲柄销轴上的阻力矩,减少功率的消耗。本文利用MATLAB优化工具箱进行优化设计,不仅采用了求解机械优化设计中有约束非线性优化问题最有效的序列二次规划法,提高了计算精度和效率;同时针对其编程工作量小的特点,在优化设计中增加了设计变量,这使设计与同类研究相比能够得到更加精确的机构参数的优化尺寸。
The design of the crusher mechanism parameters is the key to determine product quality.This paper chooses the PE600×900 jaw crusher which is used extensively and produced in large quantity as the research object.By establishing an optimization mathematical model with the minimum traveling eigenvalue of moving jaw as the objective function,making use of the sequential quadratic programming(SQP) algorithm of MATLAB optimal toolbox and adopting the way directly calling fmincon function,an optimal solution of the crusher mechanism parameters under constraint condition was obtained.The result of optimization shows that the output traveling eigenvalue of crusher is 2.47,21.84% lower than the original.While the vertical travel is reduced from 56.80 mm to 55.24 mm,the horizontal travel is increased from 17.99 mm to 22.36 mm.Kinematic characteristics of the mechanism are significantly improved.The calculated results show that the production capacity is raised from 49.59 m3/h to 55.04 m3/h,an increase of 18.11%,and the transmission angle meets the requirements ranging from 45° to 55°.Although the optimal crank offset is reduced slightly to 18.5 mm,the necessary horizontal travel breaking material is not affected,the material can be fully broken,and both of the resistance torque on the crank and the power consumption of crusher is reduced.By using MATLAB optimization toolbox and the sequential quadratic programming in optional design,nonlinear optimization problem can be resolved the computational efficiency and accuracy can be increased.Since the programming workload of SQP is smaller,the number of variables in optimization design can be increased to achieve more accurate optimization sizes of mechanism parameters.