Selected Publications
M. Červenka, M. Bednařík. "An algebraic correction for the Westervelt equation to account for the local nonlinear effects in parametric acoustic array" Journal of the Acoustical Society of America (2022). DOI: 10.1121/10.0011747
Interpretable machine learning
V. Hruška, A. Furmanová, T. Filipská, J. Valášek. "Data-driven discovery of weakly nonlinear wave equations." Journal of Sound and Vibration (2026). DOI: 10.1016/j.jsv.2025.119625
V. Hruška, A. Furmanová, M. Bednařík. "Analytical formulae for design of one-dimensional sonic crystals with smooth geometry based on symbolic regression." Journal of Sound and Vibration (2025). DOI: 10.1016/j.jsv.2024.118821
Acoustic Metasurfaces
M. Červenka. "Efficient Fourier-acoustic modeling of evanescent wave effects in metasurface absorbers with arbitrarily shaped elements." Applied Mathematical Modelling (2026). DOI: 10.1016/j.apm.2025.116471
Acoustic Scattering
L. Jelínek, K. Schab, V. Hruška, M. Čapek, M. Gustafsson. "Characteristic mode analysis of acoustic scatterers." Journal of Sound and Vibration (2025). DOI: 10.1016/j.jsv.2025.119361
Sonic Black Holes
M. Bednařík, M. Červenka. "A sonic black hole of a rectangular cross-section" Applied Mathematical Modelling (2024). DOI: 10.1016/j.apm.2023.09.005
M. Červenka, M. Bednařík. "Optimal shaping of acoustic black holes for sound absorption in air" Acta Acustica (2024). DOI: 10.1051/aacus/2024014
V. Hruška, J.-P. Groby, M. Bednařík. "Complex frequency analysis and source of losses in rectangular sonic black holes." Journal of Sound and Vibration (2024). DOI: 10.1016/j.jsv.2023.118107
A. Krpenský, M. Bednařík. "Exact solutions of the Euler-Bernoulli equation for selected polynomially non-uniform beams used for acoustic black holes." International Journal of Solids and Structures (2025). DOI: 10.1016/j.ijsolstr.2025.113468
M. Červenka, M. Bednařík. "On the role of resonance and thermoviscous losses in an implementation of “acoustic black hole” for sound absorption in air" Wave Motion (2022). DOI: 10.1016/j.wavemoti.2022.103039
Periodic Structures
A. Krpenský, M. Bednařík. "Exact analytical solution for shear horizontal wave propagation through locally periodic structures realized by viscoelastic functionally graded materials." Composite Structures (2023). DOI: 10.1016/j.compstruct.2023.117539
Functionally Graded Materials
A. Krpenský, V. Hruška, M. Bednařík. "Elastic P-wave manipulation utilizing functionally graded parallel plate gradient refractive index structures." Wave Motion (2023). DOI: 10.1016/j.wavemoti.2023.103208