# On Vertex Conditions In Elastic Beam Frames: Analysis on Compact Graphs

@inproceedings{Bae2021OnVC, title={On Vertex Conditions In Elastic Beam Frames: Analysis on Compact Graphs}, author={S. R. Bae and Mahmood Ettehad}, year={2021} }

We consider three-dimensional elastic frames constructed out of Euler-Bernoulli beams and describe extension of matching conditions by relaxing the vertex-rigidity assumption and the case in which concentrated mass may exists. This generalization is based on coupling an (elastic) energy functional in terms of field’s discontinuities at a vertex along with purely geometric terms derived out of first principles. The corresponding differential operator is shown to be self-adjoint. Although for…

## One Citation

### On the Spectra of Periodic Elastic Beam Lattices: Single-Layer Graph

- Physics, Mathematics
- 2021

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 by a scalar-valued…

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