基于量子退火的桁架结构优化方法的发展

Development of optimization method for truss structure by quantum annealing.

作者信息

Honda Rio, Endo Katsuhiro, Kaji Taichi, Suzuki Yudai, Matsuda Yoshiki, Tanaka Shu, Muramatsu Mayu

机构信息

Graduate School of Science and Technology, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama, Kanagawa, 223-8522, Japan.

Research Center for Computational Design of Advanced Functional Materials, National Institute of Advanced Industrial Science and Technology (AIST), 1-1-1 Umezono, Tsukuba, Ibaraki, 305-8568, Japan.

出版信息

Sci Rep. 2024 Jun 16;14(1):13872. doi: 10.1038/s41598-024-64588-2.

DOI:10.1038/s41598-024-64588-2

PMID:38879604

原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11180109/

Abstract

In this study, we developed a new method of topology optimization for truss structures by quantum annealing. To perform quantum annealing analysis with real variables, representation of real numbers as a sum of random number combinations is employed. The nodal displacement is expressed with binary variables. The Hamiltonian H is formulated on the basis of the elastic strain energy and position energy of a truss structure. It is confirmed that truss deformation analysis is possible by quantum annealing. For the analysis of the optimization method for the truss structure, the cross-sectional area of the truss is expressed with binary variables. The iterative calculation for the changes in displacement and cross-sectional area leads to the optimal structure under the prescribed boundary conditions.

摘要

在本研究中，我们开发了一种通过量子退火对桁架结构进行拓扑优化的新方法。为了对实变量进行量子退火分析，采用将实数表示为随机数组合之和的方式。节点位移用二元变量表示。哈密顿量H是基于桁架结构的弹性应变能和位置能来制定的。结果证实，通过量子退火可以进行桁架变形分析。对于桁架结构优化方法的分析，桁架的横截面积用二元变量表示。对位移和横截面积变化的迭代计算可得出规定边界条件下的最优结构。