• Corpus ID: 244799408

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… 

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