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Optimal Design of Responsive Structures

Akerson, Andrew and Bourdin, Blaise and Bhattacharya, Kaushik (2021) Optimal Design of Responsive Structures. . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20210831-203942317

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Abstract

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.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/2107.08895arXivDiscussion Paper
ORCID:
AuthorORCID
Bhattacharya, Kaushik0000-0003-2908-5469
Additional Information:Attribution 4.0 International (CC BY 4.0) We are grateful for the financial support of the U.S. National Science Foundation through "Collaborative Research: Optimal Design of Responsive Materials and Structures" (DMS:2009289 at Caltech and DMS:2009303 at LSU and McMaster University).
Funders:
Funding AgencyGrant Number
NSFDMS-2009289
NSFDMS-2009303
Record Number:CaltechAUTHORS:20210831-203942317
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20210831-203942317
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:110658
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:01 Sep 2021 14:20
Last Modified:01 Sep 2021 14:20

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