Quasisteady Particle Transport in Slowly Varying Periodic Streaming Flows

Abrajan-Guerrero, Rodrigo; Eldredge, Jeff D.; Smith, Stuart T.; Kelly, Scott David

doi:10.3182/20140824-6-za-1003.02765

Cited by 2 publications

(1 citation statement)

References 13 publications

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“…The problem of exogenous control has been investigated in the context of transporting particles within a fluid at low Reynolds number using oscillating probes in [12]. Relatedly, [13] used an oscillating probe to excite a substrate containing cardiac cells and showed that the induced deformations of the substrate due to exogenous forcing led to long-term oscillatory behavior in neighboring cardiac cells.…”

Section: Prior Workmentioning

confidence: 99%

Stability and Control of Chaplygin Beanies Coupled to a Platform through Nonholonomic Constraints

Buchanan,

Travers,

Choset

et al. 2021

Preprint

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Many multi-agent systems in nature are comprised of agents that interact with, and respond to, the dynamics of their environment. In this paper, we approach the study of such agentenvironment interactions through the study of passively compliant vehicles coupled to their environment via simple nonholonomic constraints. We first consider a single passively compliant Chaplygin beanie atop a platform having translational compliance, introduce the reduced equations for the system using the notion of nonholonomic momentum, and provide proof for its stability under arbitrary deformations of the elastic element modeling its compliance. We then direct our focus to results concerning the frequency response and control of passive Chaplygin beanies under actuation of the platform, discuss rich dynamical features arising from periodic actuation, and develop rules by which control can be exerted to collect and disperse multiple passive vehicles. We then discuss how the latter of these results clarifies the extent to which stable behavior can be excited in the system through exogenous control.

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Section: Prior Workmentioning

confidence: 99%

Stability and Control of Chaplygin Beanies Coupled to a Platform through Nonholonomic Constraints

Buchanan,

Travers,

Choset

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

Stability and Control of Chaplygin Beanies Coupled to a Platform Through Nonholonomic Constraints

Buchanan

Travers

Choset

et al. 2020

Volume 2: Intelligent Transportation/Vehicles; Manufacturing; Mechatronics; Engine/After-Treatment Systems; Soft Actuators/Mani

View full text Add to dashboard Cite

Many multi-agent systems in nature are comprised of agents that interact with, and respond to, the dynamics of their environment. In this paper, we approach the study of such agent environment interactions through the study of passively compliant vehicles coupled to their environment via simple nonholonomic constraints. We first consider a single passively compliant Chaplygin beanie atop a platform having translational compliance, introduce the reduced equations for the system using the notion of nonholonomic momentum, and provide proof for its stability under arbitrary deformations of the elastic element modeling its compliance. We then direct our focus to results concerning the frequency response and control of passive Chaplygin beanies under actuation of the platform, discuss rich dynamical features arising from periodic actuation, and develop rules by which control can be exerted to collect and disperse multiple passive vehicles. We then discuss how the latter of these results clarifies the extent to which stable behavior can be excited in the system through exogenous control.

show abstract

Quasisteady Particle Transport in Slowly Varying Periodic Streaming Flows

Cited by 2 publications

References 13 publications

Stability and Control of Chaplygin Beanies Coupled to a Platform through Nonholonomic Constraints

Stability and Control of Chaplygin Beanies Coupled to a Platform through Nonholonomic Constraints

Stability and Control of Chaplygin Beanies Coupled to a Platform Through Nonholonomic Constraints

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