4 papers
Nested Bloch waves in elastic structures with configurational forces
Francesco Dal Corso, Domenico Tallarico, Natalia V. Movchan +2
Small axial and flexural oscillations are analyzed for a periodic and infinite structure, constrained by sliding sleeves and composed of elastic beams. A nested Bloch-Floquet techn…
Interfacial waveforms in chiral lattices with gyroscopic spinners
Marta Garau, Giorgio Carta, Michael Nieves +3
We demonstrate a new method of achieving topologically protected states in a discrete hexagonal lattice by attaching gyroscopic spinners, which bring chirality to the system. Dispe…
Periodically fighting shake, rattle and roll
M. Brun, A. B. Movchan, I. S. Jones
How easy is it to suppress shake, rattle and roll in a long bridge or a skyscraper? Most practical structures are designed so that long wave resonance vibrations can be avoided. Ho…
Asymptotic treatment of perforated domains without homogenization
V. Maz'ya, A. Movchan
As a main result of the paper, we construct and justify an asymptotic approximation of Green's function in a domain with many small inclusions. Periodicity of the array of inclusio…