Optimal design of responsive structures
Optimal design of responsive structures
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DOI：
10.1007/s00158-022-03200-5
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发表时间：
2021-07
影响因子：
3.9
通讯作者：
Andrew Akerson;B. Bourdin;K. Bhattacharya
中科院分区：
文献类型：
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作者：
Andrew Akerson;B. Bourdin;K. Bhattacharya
随着响应材料和制造技术的最新进展，现在可以构建由结构材料和活性材料组成的集成功能结构。我们通过拓扑优化研究此类结构的稳健设计。通过应用典型的插值方案和滤波技术，我们证明了一类目标函数的最优设计的存在，该目标函数取决于受激状态和非受激状态的合规性。特别是，我们将驱动工作和阻塞负载视为目标，这两者都可以根据合规性来编写。我们研究了针对这两个目标的二维矩形提升执行器设计的数值结果，并讨论了融合设计特征背后的一些直觉。我们通过在域中引入空隙或孔洞来制定这些集成响应结构的优化设计，并表明我们的存在结果在此设置中成立。我们再次考虑现在带有空隙的 2D 提升执行器的设计。最后，我们研究了集成 3D 扭转执行器的优化设计，以实现最大闭锁扭矩。
With recent advances in both responsive materials and fabrication techniques, it is now possible to construct integrated functional structures, composed of both structural and active materials. We investigate the robust design of such structures through topology optimization. By applying a typical interpolation scheme and filtering technique, we prove existence of an optimal design to a class of objective functions which depend on the compliances of the stimulated and unstimulated states. In particular, we consider the actuation work and the blocking load as objectives, both of which may be written in terms of compliances. We study numerical results for the design of a 2D rectangular lifting actuator for both of these objectives, and discuss some intuition behind the features of the converged designs. We formulate the optimal design of these integrated responsive structures with the introduction of voids or holes in the domain, and show that our existence result holds in this setting. We again consider the design of the 2D lifting actuator now with voids. Finally, we investigate the optimal design of an integrated 3D torsional actuator for maximum blocking torque.