caa a22 4500 463163923 CHVBK 20180406164756.0 cr unu---uuuuu 170326e20070101xx s 000 0 eng 10.1007/s10778-007-0010-1 doi (NATIONALLICENCE)springer-10.1007/s10778-007-0010-1 Kayuk Ya S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv aut Stress state of flexible plates with a hole that are subject to bending [Elektronische Daten] [Ya. Kayuk] This paper proposes and mathematically proves a method to regularize singular iterations used to solve geometrically nonlinear problems of bending of thin plates with a hole. It is established that the new approximations for deflections and stress functions satisfy the boundary conditions exactly and Karman's equations asymptotically exactly. The regularization method and the approximations for solutions are based on new methods of summing functional series and sequences Springer Science+Business Media, Inc., 2007 Karman's equations nationallicence concentration of forces and moments nationallicence singular iterations nationallicence permanence condition nationallicence summation method nationallicence approximations nationallicence International Applied Mechanics Kluwer Academic Publishers-Consultants Bureau 43/1(2007-01-01), 85-100 1063-7095 43:1<85 2007 43 10778 https://doi.org/10.1007/s10778-007-0010-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10778-007-0010-1 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Kayuk Ya S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv aut NATIONALLICENCE 773 0- International Applied Mechanics Kluwer Academic Publishers-Consultants Bureau 43/1(2007-01-01), 85-100 1063-7095 43:1<85 2007 43 10778 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer