caa a22 4500 46316475X CHVBK 20180406164758.0 cr unu---uuuuu 170326e20070401xx s 000 0 eng 10.1007/s10778-007-0041-7 doi (NATIONALLICENCE)springer-10.1007/s10778-007-0041-7 Free vibrations of flexible shallow shells of complex shape [Elektronische Daten] [L. Kurpa, G. Pil'gun] A method is proposed for studying the free vibrations of flexible shallow shells with a complex planform. The method is based on variational and R-function methods. The R-function method allows constructing a system of basis functions in an analytic form. This makes it possible to reduce the Donnell-Mushtari-Vlasov equations to Duffing equations. The amplitude-frequency characteristics of shallow shells with a complex planform are given for different curvatures and boundary conditions. The results obtained are compared with published results for simply supported square shells to demonstrate the reliability and efficiency of the method Springer Science+Business Media, Inc., 2007 new method nationallicence flexible shallow shell nationallicence geometrically nonlinear vibrations nationallicence R-function method nationallicence complex planform nationallicence Kurpa L. National Technical University "Kharkov Polytechnic Institute,”, Kharkov, Ukraine aut Pil'gun G. National Technical University "Kharkov Polytechnic Institute,”, Kharkov, Ukraine aut International Applied Mechanics Springer US 43/4(2007-04-01), 442-450 1063-7095 43:4<442 2007 43 10778 https://doi.org/10.1007/s10778-007-0041-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10778-007-0041-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kurpa L. National Technical University "Kharkov Polytechnic Institute,”, Kharkov, Ukraine aut NATIONALLICENCE 700 1- Pil'gun G. National Technical University "Kharkov Polytechnic Institute,”, Kharkov, Ukraine aut NATIONALLICENCE 773 0- International Applied Mechanics Springer US 43/4(2007-04-01), 442-450 1063-7095 43:4<442 2007 43 10778 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer