caa a22 4500 445361565 CHVBK 20180317142916.0 cr unu---uuuuu 170323e20111101xx s 000 0 eng 10.1007/s11071-011-0037-z doi (NATIONALLICENCE)springer-10.1007/s11071-011-0037-z An alternative procedure for the non-linear vibration analysis of fluid-filled cylindrical shells [Elektronische Daten] [Frederico Silva, Paulo Gonçalves, Zenón del Prado] Using Donnell non-linear shallow shell equations in terms of the displacements and the potential flow theory, this work presents a qualitatively accurate low dimensional model to study the non-linear dynamic behavior and stability of a fluid-filled cylindrical shell under lateral pressure and axial loading. First, the reduced order model is derived taking into account the influence of the driven and companion modes. For this, a modal solution is obtained by a perturbation technique which satisfies exactly the in-plane equilibrium equations and all boundary, continuity, and symmetry conditions. Finally, the equation of motion in the transversal direction is discretized by the Galerkin method. The importance of each mode in the proposed modal expansion is studied using the proper orthogonal decomposition. The quality of the proposed model is corroborated by studying the convergence of frequency-amplitude relations, resonance curves, bifurcation diagrams, and time responses. The parametric analysis clarifies the influence of the lateral and axial loads on the non-linear vibrations and stability of the liquid-filled shell. Finally, the global response of the system is investigated in order to quantify the degree of safety of the shell in the presence of external perturbations through the use of bifurcation diagrams and basins of attraction. This allows one to evaluate the safety and dynamic integrity of the cylindrical shell in a dynamic environment. Springer Science+Business Media B.V., 2011 Cylindrical shells nationallicence Reduced order modal solution nationallicence Fluid-shell interaction nationallicence Non-linear vibrations nationallicence Dynamic instability nationallicence Safe basin integrity nationallicence Multi-well system nationallicence Escape nationallicence Parametric instability nationallicence Silva Frederico Civil Engineering School, Federal University of Goiás, UFG, 74605-220, Goiânia, GO, Brazil aut Gonçalves Paulo Civil Engineering Department, Pontifical Catholic University of Rio de Janeiro, PUC-Rio, 22451-900, Rio de Janeiro, RJ, Brazil aut del Prado Zenón Civil Engineering School, Federal University of Goiás, UFG, 74605-220, Goiânia, GO, Brazil aut Nonlinear Dynamics Springer Netherlands 66/3(2011-11-01), 303-333 0924-090X 66:3<303 2011 66 11071 https://doi.org/10.1007/s11071-011-0037-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-011-0037-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Silva Frederico Civil Engineering School, Federal University of Goiás, UFG, 74605-220, Goiânia, GO, Brazil aut NATIONALLICENCE 700 1- Gonçalves Paulo Civil Engineering Department, Pontifical Catholic University of Rio de Janeiro, PUC-Rio, 22451-900, Rio de Janeiro, RJ, Brazil aut NATIONALLICENCE 700 1- del Prado Zenón Civil Engineering School, Federal University of Goiás, UFG, 74605-220, Goiânia, GO, Brazil aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 66/3(2011-11-01), 303-333 0924-090X 66:3<303 2011 66 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer