Work

Green’s function approach to model vibrations of beams with spatio-temporally modulated properties

Year: 2025

Type: article

Abstract: The forced time harmonic response of a spatio-temporally modulated elastic beam of finite length with light damping is derived using a novel Green’s function approach. Closed-form solutions are found that highlight unique mode coupling effects that are induced by spatio-temporal modulation, such as split resonances that are tunable with the modulation parameters. These effects of order unity are caused by spatio-temporal modulation with a small amplitude appropriately scaled to the magnitude of the light damping. The scalings identified here between the modulation amplitude, the damping and the inner frequency range near the modified resonances, translate over to more complicated and higher dimensional elastic systems.

Source: Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences

DOI: 10.1098/rspa.2024.0580

Authors: Benjamin M. Goldsberry, Andrew N. Norris, Samuel P. Wallen, Michael R. Haberman

Institutions: Applied Research Laboratories, The University of Texas at Austin, The University of Texas at Austin, Rutgers, The State University of New Jersey

Language: English

Topic: Vibration and Dynamic Analysis

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Office of Naval Research, Division of Emerging Frontiers in Research and Innovation

Awards: G6011474423, EFRI NewLAW: Dynamic Elastic media: Passive and Active non-Reciprocal Theory, Experiment and Design, G8637039243, G8876996369