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Quasi-static shape control of structures with topologically complex equilibrium sets
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DOI：10.1016/j.euromechsol.2025.106000.png)
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Abstract
En 中文
Inspired by biological systems, we introduce a general framework for quasi-static shape control of load-bearing structures under slowly varying external actions or requirements. In this setting, shape control aims to traverse the stable sub-manifolds of the equilibrium set to meet some predefined requirements or optimization criteria. This paper explores the implications of large shape changes and high compliance, such as the emergence of unstable equilibria and equilibrium sets with non-trivial topology. We identify various adaptivity scenarios, ranging from inverse kinematics to optimization and path planning problems, and discuss the role of time-dependent loads and requirements. The applicability of the proposed concepts is demonstrated through the example of a soft arch that is susceptible to snap-through behavior.
Keywords:
Adaptivity
Morphing
Soft structures
Optimization
Stability
Equilibrium
Elasticity
Journal
E
IF:
4.2
Papers:
101
Citations:
0