Simulation calibration of differentiated knitted membranes with evolutionary optimisation tools

Yuliya Sinke; Martin Tamke; Mette Ramsgaard Thomsen

doi:10.3934/acse.2024003

Article Contents

2024, Volume 2, Issue 1: 19-36. Doi: 10.3934/acse.2024003

This issue Previous Article Shape-adaptive climate loading of tensile surface structures Next Article A computational framework for the design of tensile structures

Simulation calibration of differentiated knitted membranes with evolutionary optimisation tools

CITA - Center for IT and Architecture, Institute of Architecture and Technology, Royal Danish Academy – Architecture, Design, Conservation, Denmark

^*Corresponding author: Yuliya Sinke
^*Corresponding author: Yuliya Sinke

Received: January 2024

Revised: March 2024

Early access: March 29, 2024

Published online: March 29, 2024

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Abstract

Knitting offers a flexible and customizable approach in architectural textile applications, challenging traditional woven membranes [28]. CNC (computer numerical control)-knitting technology enables the creation of gradient expansion membranes through precise stitch control, facilitating large-scale production with minimal waste [25,27,34]. This departure from cut-pattern-based strategies typical in woven membranes allows for integration of diverse material properties in a single process. Our research focused on guiding material expansion in knitted membranes to achieve complex, non-developable surfaces through digital form-finding and structural analysis. However, the irregular material density distribution posed challenges in reliable digital simulations due to complexity and knowledge gaps. Successful simulation models require a deep understanding of material properties and abstraction strategies to balance computational feasibility and accuracy. Our study investigated these challenges through prototyping and calibration of simulation models, aiming for more geometrically accurate results in designing with differentiated CNC-knitted membranes. Here, we presented the extension of the method for simulation and calibration of graded textiles, published earlier by the authors [32,35]. We extended previous methods for simulating graded textiles, experimenting with CNC-knitted ceiling panels of varied geometries and material gradients. Calibration involves adjusting stiffness values and mesh representations using evolutionary optimization algorithms to reduce geometric deviations between digital simulations and their physical artifacts (Figure 1).

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Mathematics Subject Classification: Primary: 65Y10.

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Figure 1. Deviations between the digital and physical artifacts

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Figure 2. Representations modes of differentiated knitted ceiling panel. A - physical membrane, B - Clustered mesh derived from the structural analysis (field based), C - Mesh density based clustering up (reflecting material density), D - Point cloud from digital laser scanning, E - Discrepancy analysis, deviation mapping

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Figure 3. Simulation A, B, B2

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Figure 4. Simulation B3 and B4

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Figure 5. Simulation C1, C2.A, C2.B

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Figure 6. Summary of the calibration activities and results

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