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This book focuses on the nonlinear behaviour of thin-wall shells (single- and multilayered with delamination areas) under various uniform and non-uniform loadings. The dependence of critical (buckling) load upon load variability is revealed to be highly non-monotonous, showing minima when load variability is close to the eigenmode variabilities of solution branching points of the respective nonlinear boundary problem. A novel numerical approach is employed to analyze branching points and to build primary, secondary, and tertiary bifurcation paths of the nonlinear boundary problem for the case of uniform loading. The load levels of singular points belonging to the paths are considered to be critical load estimates for the case of non-uniform loadings.
The equations of motion for large deformation of a thin elastic cyl ndrical shell are derived and simplified to a form second order theory which is adequate for investigating the dynamic stability of the shell. A review of linear vibrations is presented. The response of a cylindrical shell to a uniform impulsive pressure is investigated. It is found that the circular mode of vibration, which is the basic response of the shell, may be unstable, the shell going over into bending modes of vibration. A criterion is established for predicting the bending modes excited. It is shown that the type of instability involved corresponds to what is known as autoparametric excitation in non-linear oscillations. Uniform impulsive pressure of sufficient magnitude to cause inward plastic flow is considered. The analysis is carried out for a stress-strain relation which includes purely viscous, viscoplastic, and linear strain hardening materials as special cases. It is shown that a series of wrinkles develop around the circumference as the shell flows inward. The wrinkling arises from magnification of the irregularities in the initial radial velocity due to the compressive membrane force in the shell. (Author).
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"Dynamic pulse buckling, vibration and failure of laminated, composite cylindrical shells subjected to blast loading were studied. The dynamic response of the shells with orthotropic, symmetric, anti-symmetric and quasi-isotropic layups subjected to both uniform and asymmetric pressure pulse loading (side-on explosion) were examined by use of Fourier series and Lagrange's equation of motion. The solutions for the radial shell deformations were represented by Mathieu differential equations. Dynamic stability of the shells was determined from a Mathieu stability diagram. It was found that the stability of the shells were affected by lay-up, aspect ratio as well as impulse distribution. The stable vibration response of the orthotropic cylindrical shell with side-on explosion compared well with finite element solutions using an implicit dynamic analysis in ABAQUS Standard. First-ply failure of the orthotropic composite cylindrical shell was predicted using a modified Hashin-Rotem failure criterion. It was observed that the thinner shell were more likely to fail by dynamic instability, whereas the thicker shells were more likely to fail by first-ply failure."--Abstract.