Analysis and optimized design of an actively controlled two-dimensional delayed resonator. (1st October 2022)

• Record Type: Journal Article
• Authors: Vyhlídal, Tomáš; Michiels, Wim; Neusser, Zdeněk; Bušek, Jaroslav; Šika, Zbyněk
• Is Part Of: Mechanical systems and signal processing. Volume 178(2022)
• Publication Date: 2022-10-01
• Subjects: Active vibration absorber -- Delayed resonator -- Planar uni-frequency absorber -- Stability -- Resonance -- Time-delayed control; Structural dynamics -- Periodicals; Vibration -- Periodicals; Constructions -- Dynamique -- Périodiques; Vibration -- Périodiques; Structural dynamics; Vibration; Periodicals; 621
• DOI: 10.1016/j.ymssp.2022.109195
• Languages: English
• ISSNs: 0888-3270

Abstract

Abstract: 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.