Integrated design of system structure and delayed resonator towards efficient non-collocated vibration absorption

TL;DR

This paper presents an integrated approach to designing system structure and delayed resonators for efficient, fatigue-resistant non-collocated vibration absorption, optimizing control energy and structural parameters through numerical and experimental validation.

Contribution

It introduces a novel integrated design methodology combining structural and control parameters for improved vibration absorption efficiency and fatigue resistance.

Findings

Optimized resonator gain and delay improve vibration absorption.

Structural and control parameter optimization reduces fatigue risk.

Experimental results validate the effectiveness of the integrated design approach.

Abstract

The problem of non-collocated vibration absorption by a delayed resonator is addressed with emphasis on system fatigue resistance and energy efficiency of control actions. The analysis is performed for a system consisting of an arbitrary large series of flexibly linked single-degree-of-freedom masses. For the stage where the vibration of the target mass is fully absorbed by the non-collocated resonator, key forces, motion amplitudes and potential energies across the system structure are assessed. Next, a complete parameter set of the resonator gain and delay is derived, and the actuation force and power needed by the resonator for the full vibration absorption is determined. The derived quantities are utilized in forming an optimization problem to balance minimal risk of fatigue across the system structure and power needed by the resonator, under the closed loop stability and parameter constraints. Next to the gain and delay of the resonator, selected structural parameters of the system are used as variables in the constrained nonlinear optimization problem. Experimental and numerical case studies are included to demonstrate benefits of the proposed integrated structural and control design.