The paper is devoted to the vibrations of a string I with a concentrated mass and rapidly oscillating density , where is a 1-periodic in ζ function, is a function with compact support, the integral of which is equal to one, , are small positive parameters, . By combining homogenization and the method of matched asymptotic expansions, we construct solutions to the problems up to .
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Timur R. Gadyl'shin 1
@article{CRMECA_2015__343_9_476_0, author = {Timur R. Gadyl'shin}, title = {On the vibrations of a string with a concentrated mass and rapidly oscillating density}, journal = {Comptes Rendus. M\'ecanique}, pages = {476--481}, publisher = {Elsevier}, volume = {343}, number = {9}, year = {2015}, doi = {10.1016/j.crme.2015.08.001}, language = {en}, }
Timur R. Gadyl'shin. On the vibrations of a string with a concentrated mass and rapidly oscillating density. Comptes Rendus. Mécanique, Volume 343 (2015) no. 9, pp. 476-481. doi : 10.1016/j.crme.2015.08.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2015.08.001/
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