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連續(xù)體結(jié)構(gòu)與支撐綜合拓?fù)鋬?yōu)化設(shè)計(jì)方法
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    摘要:

    針對(duì)標(biāo)準(zhǔn)結(jié)構(gòu)拓?fù)鋬?yōu)化時(shí)支撐邊界條件預(yù)先給定不變的情況，將支撐作為設(shè)計(jì)變量參與優(yōu)化過程，提出了一種基于SIMP的結(jié)構(gòu)與支撐綜合拓?fù)鋬?yōu)化設(shè)計(jì)方法。這種方法被應(yīng)用到最小柔度的剛度拓?fù)鋬?yōu)化設(shè)計(jì)中，進(jìn)行了二維數(shù)值實(shí)驗(yàn)，并討論了成本系數(shù)、彈簧原始剛度和中間支撐密度單元對(duì)結(jié)構(gòu)拓?fù)鋬?yōu)化分布的影響。

    Abstract:

    Support conditions were given and unchanged in standard topology optimization. An integrated method, which was based on SIMP (solid isotropic material with penalization model) and for structure and supports, has been proposed. Support conditions were introduced as a new set of design variables that represented supported areas. In this work, supports were simulated as elastic springs such as the supports in the optimal design could be considered either free or fixed. The method has been applied in compliance minimization and several 2-D examples were tested. The effects of variable cost on supports, the original stiffness of the spring and intermediate densities of supports were discussed. The support conditions and structure were optimized simultaneously, which extended the standard topology optimization method and proposed a new method for supports design. 

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周向陽,陳立平,黃正東.連續(xù)體結(jié)構(gòu)與支撐綜合拓?fù)鋬?yōu)化設(shè)計(jì)方法[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2008,39(4):128-131.[J]. Transactions of the Chinese Society for Agricultural Machinery,2008,39(4):128-131.

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