抗振板壳结构的仿生拓扑优化设计方法

以抗振结构设计为目标,将仿生设计技术应用于板壳结构加强部件的分布设计中,提出了一种简单高效的结构拓扑优化设计方法,以处理具有复杂边界条件的抗振板壳结构的拓扑优化设计.将结构加强部件分布的形成看成和植物根系的成长过程一样,加强部件从给定的"种子"出发,根据一定的成长规则生长、分歧或退化,在体积增量的控制下,形成最优的分布形态.设计结果可作为进一步详细设计的近似优化模型.对一些典型的抗振板壳结构进行了设计,结果表明所提出的方法克服了现有的结构拓扑优化技术的一些局限性,可简单有效地处理复杂结构的设计问题.

A bionic approach of topology design optimization for vibration-proof plate and shell structures

For aiming at vibration-proof structural design,a bionic design technique of topology design optimization for vibration-proof plate and shell structures is suggested.The generation process of the stiffener layout on a vibration-proof plate and shell structure can be regarded as the growing process of a root branch system in plants,thus the stiffeners are started from the so-called seeds,and are grown,branched off or degenerated according to a certain growing rule similar to that of a natural root branch system.Under the control of the volume increment,the optimal layout of stiffeners on a vibration-proof plate structure can be formed gradually.The design results can be used as the approximate optimal models for the further structural detail design.Stiffener layouts of some typical plate structures are illustrated.The numerical design results show that the suggested approach based on the bionic design technique breaks through some barriers of the conventional techniques of structural topology design optimization,and can be used to deal with some complex design problems efficiently.