Dr Katie Madine

Postdoctoral Research Associate in Applied Mathematics
Mathematical Sciences

Part of
School of Physical Sciences
Faculty of Science and Engineering

Contact

K.Madine@liverpool.ac.uk

Publications

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2024

Discrete Euler-Bernoulli Beam Lattices with Beyond Nearest Connections

: Preprint

The perpendicular gyroscope: modal analysis of plate, beam and gyroscope multistructures

Madine, K., & Colquitt, D. (2024). The perpendicular gyroscope: modal analysis of plate, beam and gyroscope multistructures. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 382(2279). doi:10.1098/rsta.2023.0358

DOI: 10.1098/rsta.2023.0358
: Journal article

2023

Wave Propagation in Flexural Systems

Madine, K. (2023, November 9). Wave Propagation in Flexural Systems.

: Thesis / Dissertation

2022

Negative refraction and mode trapping of flexural-torsional waves in elastic lattices

Madine, K. H., & Colquitt, D. J. (2022). Negative refraction and mode trapping of flexural-torsional waves in elastic lattices. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 380(2237). doi:10.1098/rsta.2021.0379

DOI: 10.1098/rsta.2021.0379
: Journal article

2021

DYNAMIC GREEN'S FUNCTIONS IN DISCRETE FLEXURAL SYSTEMS

Madine, K. H., & Colquitt, D. J. (2021). DYNAMIC GREEN'S FUNCTIONS IN DISCRETE FLEXURAL SYSTEMS. QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 74(3), 323-350. doi:10.1093/qjmam/hbab006

DOI: 10.1093/qjmam/hbab006
: Journal article

2020

Dynamic Green's functions in discrete flexural systems

DOI: 10.48550/arxiv.2010.04722
: Preprint