Model reduction for parametric instability analysis in shells conveying fluid

摘要: Abstract Flexible pipes conveying fluid are often subjected to parametric excitation due time-periodic flow fluctuations. Such systems known exhibit complex instability phenomena such as divergence and coupled-mode flutter. Investigators have typically used weighted residual techniques, reduce the continuous system model into a discrete model, based on approximation functions with global support, for carrying out stability analysis. While this approach is useful straight pipes, modelling FEM needed study of complicated piping systems, where local in support. However, size problem now significantly larger computationally efficient analysis, reduction necessary. In paper, techniques developed analysis flexible fluids under mean pressure. It shown that only those linear transformations which leave original eigenvalues time invariant unchanged admissible. The numerical technique by Friedmann Hammond (Int. J. Numer. Methods Eng. Efficient 11 (1997) 1117) One key research issues establish criteria deciding basis vectors essential an accurate This paper examines issue detail proposes new guidelines their selection.