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

Proceedings of the 10th European Nonlinear Dynamics Conference

10th European Nonlinear Dynamics Conference
Lyon, France,

Ämneskategorier

Teknisk mekanik

Matematisk analys

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2023-10-26