Analysis and optimized design of an actively controlled two-dimensional delayed resonator

• Published in: Mechanical systems and signal processing Vol. 178; p. 109195
• Main Authors: Vyhlídal, Tomáš, Michiels, Wim, Neusser, Zdeněk, Bušek, Jaroslav, Šika, Zbyněk
• Format: Journal Article
• Language: English
• Published: Berlin Elsevier Ltd 01.10.2022; Elsevier BV
• Subjects: Absorbers; Absorption; Active vibration absorber; Actuation; Actuators; Coils; Damping; Degrees of freedom; Delayed resonator; Design analysis; Design optimization; Frequency ranges; Parameters; Planar uni-frequency absorber; Resonance; Resonators; Robustness (mathematics); Stability; Stiffness; Time-delayed control; Vibration analysis; Resonance; Stability; Planar uni-frequency absorber; Time-delayed control; Active vibration absorber; Delayed resonator
• ISSN: 0888-3270; 1096-1216
• DOI: 10.1016/j.ymssp.2022.109195

The absorption properties and active actuation of two-dimensional delayed resonators (2D-DR) are studied from various aspects. For a general 2D-DR, the actuation forces and energy supply needed for entire vibration absorption of a platform excited by a periodic force and torque are determined. For this purpose, a model describing the full absorber-platform dynamics is transformed into a form that allows to express the relevant design quantities as a function of the absorber’s parameters only. Subsequently, the parameters of the 2D-DR absorber, specifically the stiffness and damping of the connecting links, are optimized to turn the underlying three degree of freedom problem to a one degree of freedom problem. For this configuration, the stability and robustness in vibration absorption are studied. Based on the performed analysis, design rules are specified for the optimized 2D-DR design, including its positioning on the vibrating platform. A numerical case study demonstrates the 2D-DR absorber design and assessment of the operable frequency range for a specific set of voice-coil actuators.