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Geometrically non-linear vibration of concrete shallow funicular shells
, Article Proceedings of the Institution of Civil Engineers: Structures and Buildings ; Volume 174, Issue 3 , 2021 , Pages 169-180 ; 09650911 (ISSN) ; Mofid, M ; Daneshmand, N ; Sharif University of Technology
ICE Publishing
2021
Abstract
This study deals with the geometrically non-linear vibration analysis of concrete shallow funicular shells of rectangular plan with four clamped edges under impulse loads. The shape of a concrete funicular shell is such that the shell is subjected to pure compression under its dead weight. Following the existing method presented for the linear vibration analysis, the geometrically non-linear vibration analysis is considered through the use of non-linear shallow shells theory. Each displacement component is expanded in a double Fourier series and the kinetic energy, the elastic strain energy and the virtual work done by external forces are calculated in terms of the displacement components....