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Relationship between the lower frequency spectrum of plates and networks of beams
Author(s) -
Nicaise Serge,
Penkin Oleg
Publication year - 2000
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/1099-1476(20001110)23:16<1389::aid-mma171>3.0.co;2-k
Subject(s) - mathematics , spectrum (functional analysis) , cover (algebra) , sequence (biology) , boundary (topology) , mathematical analysis , scheme (mathematics) , frequency spectrum , boundary value problem , statistics , quantum mechanics , physics , spectral density , engineering , mechanical engineering , biology , genetics
We give the behaviour of the lower frequency spectrum of a sequence of networks of beams which cover a given plate with a smooth boundary. This behaviour is obtained by means of a finite difference scheme of the membrane. Copyright © 2000 John Wiley & Sons, Ltd.