On the modal equations of large amplitude flexural vibration of beams, plates, rings and shells
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Cited by (8)
Non-linear behaviour of free-edge shallow spherical shells: Effect of the geometry
2006, International Journal of Non-Linear MechanicsCitation Excerpt :It is a well-known fact that flat plates display a hardening behaviour, as it has been shown both theoretically and experimentally (see e.g. [4–9]). Introducing an initial curvature in the middle surface of the structure creates a quadratic non-linearity, which, in turn, may change the non-linear behaviour to softening type, depending on the balance of the magnitude of quadratic and cubic terms [6,10,11]. It is thus a legitimate question to determine the correct non-linear behaviour of shallow spherical shells, and more precisely, the transition from the hardening (flat plate) behaviour to the softening one, as the curvature increases.
Vibrations of moderately thick shallow spherical shells at large amplitudes
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