Coupled Rigid-Block Analysis: Stability-Aware Design of Complex Discrete-Element Assemblies
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Date
2022-05
Publication Type
Journal Article
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yes
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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.
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published
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Journal / series
Volume
146
Pages / Article No.
103216
Publisher
Elsevier
Event
Edition / version
Methods
Software
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Date collected
Date created
Subject
3D assembly; Computational fabrication; Stability-aware design; Concave shapes; Friction; Contact mechanics
Organisational unit
03847 - Block, Philippe / Block, Philippe
09620 - Coros, Stelian / Coros, Stelian
02284 - NFS Digitale Fabrikation / NCCR Digital Fabrication
Notes
Funding
178953 - Practical Stability Assessment Strategies for Vaulted Unreinforced Masonry Structures (SNF)