Work-loop analysis for optimising forced nonlinear oscillators
Paper i proceeding, 2022

Linear and nonlinear resonant states can be restrictive: they exist at particular discrete states in frequency and/or elasticity, under particular (e.g., simple-harmonic) waveforms. In forced oscillators, this restrictiveness is an obstacle to system design and control modulation: altering the system elasticity, or modulating the response, would both appear to necessarily incur a penalty to efficiency. In this work, we describe an approach for bypassing this obstacle. Using novel work-loop techniques, we prove and illustrate how certain classes of resonant optimisation problem lead to non-unique solutions. In a structural optimisation context, several categories of energetically-optimal elasticity are non-unique. In an optimal control context, several categories of energetically-optimal frequency are non-unique. For these classes of non-unique optimum, we can derive simple bounds defining the optimal region. These novel theoretical results have practical implications for the design and control of a range of biomimetic propulsion systems, including flapping-wing micro-air-vehicles: using these results, we can generate efficient forms of wingbeat modulation for flight control.

Författare

Arion Pons

The Hebrew University Of Jerusalem

Tsevi Beatus

The Hebrew University Of Jerusalem

Publicerad i

Proceedings of the 10th European Nonlinear Dynamics Conference

Konferens

10th European Nonlinear Dynamics Conference
Lyon, France, 2022-07-16 - 2022-07-21

Kategorisering

Ämneskategorier (SSIF 2011)

Teknisk mekanik

Matematisk analys

Mer information

Senast uppdaterat

2023-10-26