Coupled Rigid-Block Analysis: Stability-Aware Design of Complex Discrete-Element Assemblies
Abstract
The rigid-block equilibrium (RBE) method uses a penalty formulation to measure structural infeasibility or to guide the design of stable discrete-element assemblies from unstable geometry. However, RBE is a purely force-based formulation, and it incorrectly describes stability when complex interface geometries are involved. To overcome this issue, this paper introduces the coupled rigid-block analysis (CRA) method, a more robust approach building upon RBE's strengths. The CRA method combines equilibrium and kinematics in a penalty formulation in a nonlinear programming problem. An extensive benchmark campaign is used to show how CRA enables accurate modelling of complex three-dimensional discrete-element assemblies formed by rigid blocks. In addition, an interactive stability-aware design process to guide user design towards structurally-sound assemblies is proposed. Finally, the potential of our method for real-world problems are demonstrated by designing complex and scaffolding-free physical models. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000532271Publication status
publishedExternal links
Journal / series
CAD Computer Aided DesignVolume
Pages / Article No.
Publisher
ElsevierSubject
3D assembly; Computational fabrication; Stability-aware design; Concave shapes; Friction; Contact mechanicsOrganisational unit
03847 - Block, Philippe / Block, Philippe
02284 - NFS Digitale Fabrikation / NCCR Digital Fabrication
09620 - Coros, Stelian / Coros, Stelian
Funding
178953 - Practical Stability Assessment Strategies for Vaulted Unreinforced Masonry Structures (SNF)
Related publications and datasets
Is supplemented by: https://github.com/BlockResearchGroup/compas_cra
Is supplemented by: https://doi.org/10.3929/ethz-b-000586064
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