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An analytical solution for buckling and vibration of delaminated composite spherical shells
Abstract The estimation of the critical buckling loads and eigenfrequencies are among the most common problems of mechanical engineering. These parameters are very important measures to avoid the loss of stability of the designed structures. In this work a progressive analytical model of doubly curved shells will be presented and applied to a delaminated spherical shell. The equations are derived using an improved version of the Sanders shell theory and the System of Exact Kinematic Conditions (SEKC). The solution method is based on the Lévy formulation. With this method the governing partial differential equation (PDE) can be reduced to an ordinary differential equation (ODE) with the use of Fourier-series. The resulting set of equations are solved using a variant of the state-space method which is able to solve systems with non-constant system matrix.
Highlights A new analitical solution to doubly curved shells. The solution is based on the Lévy approach and the coordinate variant state-space method. The solution is valid for various shells types (e.g. cylindrical, conical, spherical …). The solution is valid to vide range of lamination types. The method is able to carry out sensitivity analysis on the buckling load and vibration frequency.
An analytical solution for buckling and vibration of delaminated composite spherical shells
Abstract The estimation of the critical buckling loads and eigenfrequencies are among the most common problems of mechanical engineering. These parameters are very important measures to avoid the loss of stability of the designed structures. In this work a progressive analytical model of doubly curved shells will be presented and applied to a delaminated spherical shell. The equations are derived using an improved version of the Sanders shell theory and the System of Exact Kinematic Conditions (SEKC). The solution method is based on the Lévy formulation. With this method the governing partial differential equation (PDE) can be reduced to an ordinary differential equation (ODE) with the use of Fourier-series. The resulting set of equations are solved using a variant of the state-space method which is able to solve systems with non-constant system matrix.
Highlights A new analitical solution to doubly curved shells. The solution is based on the Lévy approach and the coordinate variant state-space method. The solution is valid for various shells types (e.g. cylindrical, conical, spherical …). The solution is valid to vide range of lamination types. The method is able to carry out sensitivity analysis on the buckling load and vibration frequency.
An analytical solution for buckling and vibration of delaminated composite spherical shells
Juhász, Zoltán (Autor:in) / Szekrényes, András (Autor:in)
Thin-Walled Structures ; 148
07.12.2019
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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