Dynamic instability analysis of elastic and inelastic shells (Q1129573)

The contribution is concerned with dynamic stability of arbitrary structural responses, in particular with shell responses. Incremental/iterative path-following algorithms are employed to the tangential equation of motion which is derived under special assumptions of finite-rotation shell theories, elasto-plastic material behaviour, and motion-dependent loading. Occurring instabilities can be detected with the help of Lyapunov exponents, and well-known procedures are recognized as special cases of the Lyapunov-exponent-concept for stationary, transient, periodic, and arbitrary solution curves in the phase space.