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PreprintarXiv licencearXiv

Michell-Prager type truss structures constructed from integrable discrete power function and discrete logarithmic function

  • Motoki Masada
  • Kentaro Hayakawa
  • Kazuki Hayashi
  • Yoshiki Jikumaru
  • Kenji Kajiwara
  • Yohei Yokosuka
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Abstract

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.

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Cite

BibTeXRIS
BibTeX
@misc{masada2026michellprager,
  title = {{Michell-Prager type truss structures constructed from integrable discrete power function and discrete logarithmic function}},
  author = {Motoki Masada and Kentaro Hayakawa and Kazuki Hayashi and Yoshiki Jikumaru and Kenji Kajiwara and Yohei Yokosuka},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.04595},
  eprint = {2609.04595},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.04595},
}
RIS
TY  - UNPB
TI  - Michell-Prager type truss structures constructed from integrable discrete power function and discrete logarithmic function
AU  - Motoki Masada
AU  - Kentaro Hayakawa
AU  - Kazuki Hayashi
AU  - Yoshiki Jikumaru
AU  - Kenji Kajiwara
AU  - Yohei Yokosuka
PY  - 2026
DA  - 2026/09/04
PB  - arXiv
DO  - 10.48550/arxiv.2609.04595
UR  - https://arxiv.org/abs/2609.04595
AB  - 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.
ER  -