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math-ph2021
On the Spectra of Periodic Elastic Beam Lattices: Single-Layer Graph
Mahmood Ettehad, Burak Hatinoğlu
We present full description of spectra for a Hamiltonian defined on periodic hexagonal elastic lattices. These continua are constructed out of Euler-Bernoulli beams, each governed…
math.AP2021★ 13 cited
Three dimensional elastic beam frames: rigid joint conditions in variational and differential formulation
Gregory Berkolaiko, Mahmood Ettehad
We consider three-dimensional elastic frames constructed out of Euler--Bernoulli beams and describe a simple process of generating joint conditions out of the geometric description…