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兩級(jí)行星齒輪傳動(dòng)的離散變量?jī)?yōu)化設(shè)計(jì)
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    摘要:

    行星齒輪傳動(dòng)中各齒輪的齒數(shù)受傳動(dòng)比條件,、同軸條件和裝配條件的限制而不能任意取值,,齒輪的模數(shù)也受?chē)?guó)家標(biāo)準(zhǔn)的制約只能取一些離散值,,用以數(shù)學(xué)規(guī)劃理論為基礎(chǔ)的經(jīng)典約束優(yōu)化方法求解效果很差,,用基于模擬退火算法的離散變量?jī)?yōu)化設(shè)計(jì)方法則可以方便快捷地獲得滿(mǎn)足各方面要求的最優(yōu)設(shè)計(jì)方案,。提出了一種基于模擬退火算法的離散變量智能優(yōu)化設(shè)計(jì)方法,,建立了兩級(jí)2Z-X行星齒輪傳動(dòng)優(yōu)化設(shè)計(jì)的數(shù)學(xué)模型,,給出了具體算例,。與約束隨機(jī)方向法對(duì)比表明,,該方法可以方便快捷地獲得全局最優(yōu)解,,而且無(wú)需任何后續(xù)處理即可以直接用于工程實(shí)際。

    Abstract:

    In the planetary gear transmission system, each gear-teeth cannot be arbitrary positive integers, which are subjected to drive ratio, matching and coaxial requirements. The module of gear only can take certain discrete values for the limit of national standards. It is difficult to obtain the valid solution with the classical restrictions random (CRR) optimization method based on mathematics plan theory. A discrete variables intelligent optimization method with simulation annealing algorithm was presented. The mathematical model of optimization design for two-stage 2Z-X epicyclic gearing was established and an example was presented subsequently. Compared with the CRR method, this method can obtain the global optimal solution more easily and quickly and can be used in engineering design without any post-treatment.

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陳連.兩級(jí)行星齒輪傳動(dòng)的離散變量?jī)?yōu)化設(shè)計(jì)[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2008,39(11):138-141.[J]. Transactions of the Chinese Society for Agricultural Machinery,2008,39(11):138-141.

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