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基于粒子群算法的圓柱度誤差評定方法
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    摘要:

    根據(jù)最小區(qū)域條件,建立了圓柱度誤差的數(shù)學(xué)模型以及優(yōu)化目標(biāo)函數(shù)和適應(yīng)度函數(shù),闡述了粒子群優(yōu)化算法的原理和實現(xiàn)方法,然后根據(jù)粒子群算法優(yōu)化求解。實例表明,該方法對于圓柱度誤差評定等非線性優(yōu)化問題能得到全局最優(yōu)解,粒子群優(yōu)化算法的計算精度與其他滿足最小條件的計算方法相比略有提高,且參數(shù)設(shè)置少,計算速度快,可用于三坐標(biāo)測量機(jī)等測量系統(tǒng)的圓柱度誤差測量后的數(shù)據(jù)處理。

    Abstract:

    A method of evaluation cylindricity errors based on particle swarm optimization (PSO) was proposed. According to the minimum zone condition, a mathematical model of cylindricity errors together with the optimal objective function and fitness function was developed. The principle and implementation techniques of PSO were introduced. Then the particle swarm optimization algorithm was used to search for the optimal solution. Finally the example showed that PSO method is suitable for the nonlinear optimization problems such as cylindricity error evaluations. In addition, the precision of PSO is better than other methods under minimum zone condition. Thus PSO has the advantages of setting up a few parameters and a rapid convergent velocity. So it can be applied in dealing with the measured data of cylindricity obtained by three-coordinate measuring machine (CMM).

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茅健,鄭華文,曹衍龍,徐旭松.基于粒子群算法的圓柱度誤差評定方法[J].農(nóng)業(yè)機(jī)械學(xué)報,2007,38(2):146-149.[J]. Transactions of the Chinese Society for Agricultural Machinery,2007,38(2):146-149.

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