Skip to content
DraconiticResearch
Search Sources API
203,234 studies31 sourcesUpdated 34 min ago
Peer-reviewedCC BYInternational Journal of Space Structures

Conformal principal-asymptotic nets: Parametric design and modular construction of elastic gridshells

Abstract

Current modular design approaches often rely on numerical optimization to satisfy fabrication constraints, which can be computationally intensive and sensitive to initial geometric conditions. This work introduces a parametric design algorithm based on Conformal Principal-Asymptotic (CPA) networks on Minimal Surfaces (MS). This “pre-rationalized” approach enables the rapid generation of diverse shell morphologies while ensuring that construction logic, such as developability and node-orthogonality, is constantly preserved. The method provides a versatile design space for both surface geometry and beam configurations, while also facilitating geometric analyses of assembly-induced stresses. Our methodology is validated through a full-scale experimental timber model, providing a physical proof-of-concept that demonstrates a streamlined workflow for the design and modular assembly of complex elastic gridshells.

Related

  1. Closed-form construction of exceptional points in a two-parametric PT-symmetric large-matrix model
    Miloslav Znojil
    arXivPreprintCC BY 4.0Full textMathematical physicsQuantum physics & quantum informationarXiv
  2. Conformal risk control for model-form uncertainty in parametric non-intrusive reduced-order models
    Edgar Jaber, Rémy Vallot, Thibault Dairay +1
    HALPreprintCC BY 4.0Full textStatisticsHALarXiv
  3. Research on Asymptotic Behavior of a Class of Second-Order Impulsive Differential Equations Based on Principal and Nonprincipal Solutions
    Fu Hong, Jianjun Jiao, Linkun Wang +1
    MathematicsPeer-reviewedCC BY 4.0General mathematicsCrossref
  4. A Mathematical Study of an SIS Epidemic Model: Global Asymptotic Stability Analysis and Construction of Nonstandard Numerical Schemes
    Manh Tuan Hoang
    arXivPreprintCC BY 4.0Full textDynamical systemsNumerical analysis & scientific computingarXiv
  5. Logistic Regression Equivalent Weights for Survey Inference: Construction and Asymptotic Properties
    Seonghun Lee
    arXivPreprintCC BY 4.0Full textStatisticsarXiv
BibTeX
@article{li2026conformal,
  title = {{Conformal principal-asymptotic nets: Parametric design and modular construction of elastic gridshells}},
  author = {Xinye Li and Mohammad Mansouri and Ahmed Elshafei},
  journal = {International Journal of Space Structures},
  year = {2026},
  month = aug,
  doi = {10.1177/09560599261466006},
  url = {https://hal.science/hal-05753359v1},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - Conformal principal-asymptotic nets: Parametric design and modular construction of elastic gridshells
AU  - Xinye Li
AU  - Mohammad Mansouri
AU  - Ahmed Elshafei
PY  - 2026
DA  - 2026/08/03
JO  - International Journal of Space Structures
DO  - 10.1177/09560599261466006
UR  - https://hal.science/hal-05753359v1
AB  - Current modular design approaches often rely on numerical optimization to satisfy fabrication constraints, which can be computationally intensive and sensitive to initial geometric conditions. This work introduces a parametric design algorithm based on Conformal Principal-Asymptotic (CPA) networks on Minimal Surfaces (MS). This “pre-rationalized” approach enables the rapid generation of diverse shell morphologies while ensuring that construction logic, such as developability and node-orthogonality, is constantly preserved. The method provides a versatile design space for both surface geometry and beam configurations, while also facilitating geometric analyses of assembly-induced stresses. Our methodology is validated through a full-scale experimental timber model, providing a physical proof-of-concept that demonstrates a streamlined workflow for the design and modular assembly of complex elastic gridshells.
SN  - 0266-3511
SN  - 0266-3511
ER  -