Coupled Rigid-Block Analysis: Stability-Aware Design of Complex Discrete-Element Assemblies. (May 2022)

• Record Type: Journal Article
• Authors: Kao, Gene Ting-Chun; Iannuzzo, Antonino; Thomaszewski, Bernhard; Coros, Stelian; Van Mele, Tom; Block, Philippe
• Is Part Of: Computer aided design. Volume 146(2022)
• Publication Date: 2022-05
• Subjects: 3D assembly -- Computational fabrication -- Stability-aware design -- Concave shapes -- Friction -- Contact mechanics; Computer-aided design -- Periodicals; Engineering design -- Data processing -- Periodicals; Computer graphics -- Periodicals; Conception technique -- Informatique -- Périodiques; Infographie -- Périodiques; Computer graphics; Engineering design -- Data processing; Periodicals; Electronic journals; 620.00420285
• DOI: 10.1016/j.cad.2022.103216
• Languages: English
• ISSNs: 0010-4485

Abstract

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. Highlights: CRA method: 3D analysis and design of complex rigid-block assemblies with friction. Nonlinear constrained optimisation coupling static equilibrium with kinematics. Penalty formulation to measure structural infeasibility and identify unstable regions. Stability-aware design process towards more stable design solutions. Design, fabrication and construction of complex, scaffolding-free assemblies.