Geodesic
Junction problem for Euler--Bernoulli and Timoshenko elastic beams
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 26-37

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In this paper, we consider а junction problem for the system Euler–Bernoulli and Timoshenko elastic beams and а contact problem for the two connecting beams. Unique solvability of these problems is proved. Under the assumption that solutions are smooth we find the corresponding differential formulations of the initial variational problems. In particular junction conditions on the border of bonding interface obtained. The analytical solution for a beams with a cut is given.
Keywords: junction conditions, variational problems, Timoshenko beam, crack.
Mots-clés : Euler–Bernoulli beam 
@article{SEMR_2016_13_a68,
     author = {N. V. Neustroeva and N. P. Lazarev},
     title = {Junction problem for {Euler--Bernoulli} and {Timoshenko} elastic beams},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {26--37},
     publisher = {mathdoc},
     volume = {13},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2016_13_a68/}
}
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N. V. Neustroeva; N. P. Lazarev. Junction problem for Euler--Bernoulli and Timoshenko elastic beams. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 26-37. http://geodesic.mathdoc.fr/item/SEMR_2016_13_a68/