caa a22 4500 463164962 CHVBK 20180406164758.0 cr unu---uuuuu 170326e20070501xx s 000 0 eng 10.1007/s10778-007-0050-6 doi (NATIONALLICENCE)springer-10.1007/s10778-007-0050-6 Bespalova E. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv aut Vibrations of polygonal plates with various boundary conditions [Elektronische Daten] [E. Bespalova] The bending vibrations of polygonal (L-shaped) plates with different shapes and boundary conditions are studied. The natural frequencies are calculated using the inverse-iteration and Kantorovich-Vlasov methods. To take the configuration of the domain into account, the fictitious domain method and an analog of the force method of structural mechanics are used. Different trends in the dependence of the lowest natural frequency of an L-shaped plate on its geometry are illustrated for different boundary conditions.Acorrelation between the extreme values of the bending frequency and some relations for the energy characteristics of the plate is established Springer Science+Business Media, Inc., 2007 polygonal plate nationallicence bending vibrations nationallicence different boundary conditions nationallicence extreme frequency nationallicence energy characteristics nationallicence International Applied Mechanics Springer US 43/5(2007-05-01), 526-533 1063-7095 43:5<526 2007 43 10778 https://doi.org/10.1007/s10778-007-0050-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10778-007-0050-6 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Bespalova E. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv aut NATIONALLICENCE 773 0- International Applied Mechanics Springer US 43/5(2007-05-01), 526-533 1063-7095 43:5<526 2007 43 10778 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer