Oscillations of Spherical and Cylindrical Shells
Serkan Erdin, Valery L. Pokrovsky
Abstract
We have found the complete spectrum and eigenstates for harmonic oscillations of ideal spherical and cylindrical shells, both being infinitely thin. The spectrum of the cylindrical shell has an infinite number of Goldstone modes corresponding to folding deformations. This infrared catostrophe is overcome by accounting for curvature-part of energy.
Create a lesson
Related papers
Designing tunable hyperuniformity in random organization through nonlocal noise
Yusheng Lei, Yuhan Peng, Ran Ni
Long-time Brownian dynamics of hard and sticky colloids by geometric projection
Rémi Martin, Sandrine Duluard, Céline Merlet
Statistical approach of random packing of polydisperse similar hyperspheres: with application to binomial and lognormal size distributions
H. J. H. Brouwers
Hydrated porous substrates modulate the spatiotemporal dynamics of bacterial turbulence
Zixiang Lin, Jin Zhu, Hongyi Bian et al.
Amplified transport variability in granular slope flows near the critical angle
Fumiaki Nakai, Yuto Sasaki
Topology Does Not Determine Defect Mobility in Active Polar Matter
Abhra Puitandy, Shradha Mishra