Finite element procedures for the nonlinear dynamic stability analysis of arbitrary shell structures

✍ Scribed by Y. Başar; C. Eller; W. B. Krätzig

• Publisher: Springer
• Year: 1990
• Tongue: English
• Weight: 675 KB
• Volume: 6
• Category: Article
• ISSN: 0178-7675
• DOI: 10.1007/bf00350232

✦ Synopsis

The objective is the development of numerical algorithms for the dynamic stability analysis of strongly nonlinear shell structures subjected, in particular, to parametric excitations. The finite-element discretization is achieved by displacement models of high accuracy, The basis for the stability analysis is Ljapunow's first approximation equation obtained from a finite-rotation shell theory by a variational method. The operator formulation used for this purpose shows the mathematical requirements imposed on consistent formulations. In close connection with Floquet's theory, a semi-analytical criterion is finally given for the stability analysis of parametric instability phenomena. The numerical results presented demonstrate the efficiency of the numerical algorithms.