Autonomous actuation of zero modes in mechanical networks far from equilibrium

Abstract

A zero mode, or floppy mode, is a non-trivial coupling of mechanical components yielding a degree of freedom with no resistance to deformation. Engineered zero modes have the potential to act as microscopic motors or memory devices, but this requires an internal actuation mechanism that can overcome unwanted fluctuations in other modes and the dissipation inherent in real systems. In this work, we show theoretically and experimentally that complex zero modes in mechanical networks can be selectively mobilized by non-equilibrium activity. We find that a correlated active bath actuates an infinitesimal zero mode while simultaneously suppressing fluctuations in higher modes compared to thermal fluctuations, which we experimentally mimic by high frequency shaking of a physical network. Furthermore, self-propulsive dynamics spontaneously mobilise finite mechanisms as exemplified by a self-propelled topological soliton. Non-equilibrium activity thus enables autonomous actuation of coordinated mechanisms engineered through network topology.

References in corpus (40)

• Active Particles in Complex and Crowded Environments
• Flocks, herds, and schools: A quantitative theory of flocking
• Spontaneous motion in hierarchically assembled active matter
• Observation of phononic helical edge states in a mechanical 'topological insulator'
• Emergence of macroscopic directed motion in populations of motile colloids
• Topological Phononic Crystals with One-Way Elastic Edge Waves
• Topological Boundary Modes in Isostatic Lattices
• Topological mechanics of gyroscopic metamaterials
• A bacterial ratchet motor
• How far from equilibrium is active matter?
• Combinatorial Design of Textured Mechanical Metamaterials
• Static non-reciprocity in mechanical metamaterials
• Topological modes bound to dislocations in mechanical metamaterials
• Nonlinear conduction via solitons in a topological mechanical insulator
• A Micrometer-sized Heat Engine Operating Between Bacterial Reservoirs
• Multidimensional Stationary Probability Distribution for Interacting Active Particles
• Isostaticity, auxetic response, surface modes, and conformal invariance in twisted kagome lattices
• Generalized energy equipartition in harmonic oscillators driven by active baths
• Designing allostery-inspired response in mechanical networks
• Topological mechanics of origami and kirigami
• Brownian Particles far from Equilibrium
• Transformable topological mechanical metamaterials
• Critical slowing down in purely elastic `snap-through' instabilities
• Low-frequency vibrations of soft colloidal glasses
• Fiber networks amplify active stress
• Floppy modes and non-affine deformations in random fiber networks
• Architecture and Co-Evolution of Allosteric Materials
• Passive control of viscous flow via elastic snap-through
• Soft modes and elasticity of nearly isostatic lattices: randomness and dissipation
• Topological edge floppy modes in disordered fiber networks
• Mechanical instability at finite temperature
• Pressure and Flow of Exponentially Self-Correlated Active Particles
• Fluid Velocity Fluctuations in a Suspension of Swimming Protists
• Harnessing bistability for directional propulsion of untethered, soft robots
• Finite temperature mechanical instability in disordered lattices
• Fluctuation Spectra and Force Generation in Non-equilibrium Systems
• Probing the role of mobility in the collective motion of non-equilibrium systems
• Mode selection in compressible active flow networks
• Memory Effects in Active Particles with Exponentially Correlated Propulsion
• Folding mechanisms at finite temperature

Cited by in corpus (22)

• Odd elasticity
• Selective and Collective Actuation in Active Solids
• A minimal-length approach unifies rigidity in under-constrained materials
• Active topolectrical circuits
• Self-Aligning Polar Active Matter
• Autonomous waves and global motion modes in living active solids
• Active Solids Model: Rigid Body Motion and Shape-changing Mechanisms
• Reversible signal transmission in an active mechanical metamaterial
• Critical transition for colliding swarms
• Rectification of energy and motion in non-equilibrium parity violating metamaterials
• Noise-Induced Collective Actuation in Active Solids
• Stability of milling patterns in self-propelled swarms on surfaces
• Molecular modelling of odd viscoelastic fluids
• Modular representation and control of floppy networks
• Collective excitations in active solids featuring alignment interactions
• Chiral topological phases in designed mechanical networks
• Spectral Design of Active Mechanical and Electrical Metamaterials
• Tuning collective actuation of active solids by optimizing activity localization
• Reentrant transition to collective actuation in active solids with a polarizing field
• Collective actuation in active solids in the presence of a polarizing field: a systematic analysis of the dynamical regimes
• Thermal Fluctuations of Singular Bar-Joint Mechanisms
• Active elastocapillarity in soft solids with negative surface tension