发表机构
Joint Graduate School of Mathematics for Innovation, Kyushu University; College of Industrial Technology, Nihon University; Graduate School of Engineering, Kyoto University; Faculty of Information Networking for Innovation and Design, Toyo University; Institute of Mathematics for Industry, Kyushu University; Graduate School of Science and Engineering, Kagoshima University（九州大学数学创新联合研究生院; 日本大学生产工学部; 京都大学大学院工学研究科; 东洋大学信息网络创新设计学部; 九州大学产业数学研究所; 鹿儿岛大学理工学研究科）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究构造了由可积离散幂函数与离散对数函数组成的Michell-Prager型桁架结构，证实特定子晶格可生成近似Michell桁架，且形状优化结果为其最优性提供了数值依据。
AI 中文摘要
Michell-Prager型桁架结构由可积离散幂函数与离散对数函数构造而成。研究表明，受合适边界条件约束的特定子晶格可生成近似Michell桁架，这是实现力平衡且节省材料的理论最优结构。通过最小化Michell泛函的形状优化结果，为其最优性提供了数值证据。
英文摘要
The Michell-Prager type truss structures are constructed from the integrable discrete power and logarithmic functions. It is demonstrated that specific sublattices, subject to suitable boundary conditions, yield approximate Michell trusses, which are theoretically optimal structures achieving force equilibrium with material economy. The result of shape optimization minimizing the Michell functional is provided for numerical evidence of their optimality.
Comments10 pages, 19 figures (22 files) Accepted for publication in JSIAM Letters (in press)
Journal refJSIAM Letters 2026 Vol.18 pp89-92
