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三維柔性微動(dòng)平臺(tái)拓?fù)鋬?yōu)化設(shè)計(jì)
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    摘要:

    將有限元方法和結(jié)構(gòu)拓?fù)鋬?yōu)化方法應(yīng)用于三維微動(dòng)平臺(tái)設(shè)計(jì)。以平臺(tái)中心位置的輸出位移為優(yōu)化目標(biāo)，以應(yīng)力準(zhǔn)則為約束條件，建立了三維微動(dòng)平臺(tái)的拓?fù)鋬?yōu)化數(shù)學(xué)模型。該優(yōu)化問(wèn)題采用敏度分析方法和準(zhǔn)則法求解，并采用過(guò)濾技術(shù)解決優(yōu)化過(guò)程中出現(xiàn)的棋盤格式和網(wǎng)絡(luò)依賴性問(wèn)題。通過(guò)設(shè)計(jì)一個(gè)三維微動(dòng)平臺(tái)以及ANSYS的模擬演示，證明柔性結(jié)構(gòu)拓?fù)鋬?yōu)化方法適用于三維微動(dòng)平臺(tái)的設(shè)計(jì)。

    Abstract:

    Structural topology optimization with the use of finite element analysis has been studied and applied in the design of three dimension micro-positioning. A mathematical model of topology optimization for three dimension micro-positioning, which has displacement objective considering stress constraints is proposed. Sensitivity method and OC method are applied to solve this topology optimization problem. Checkboard patterns and mesh-dependency generated in optimization process, and filtering approach is adapted to solve these problems. In the end, a three dimension micro-positioning topology optimization design is presented to show the feasibility of the proposed approach, and the simulation by ANSYS proves the good performance of the micro-positioning. 

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楊姝,郭東明,米大海.三維柔性微動(dòng)平臺(tái)拓?fù)鋬?yōu)化設(shè)計(jì)[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2008,39(3):131-133.[J]. Transactions of the Chinese Society for Agricultural Machinery,2008,39(3):131-133.

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