A High-Accuracy Model Reduction for Analysis of Nonlinear Vibrations in Structures With Contact Interfaces

Abstract

A highly accurate and computationally efficient method is proposed for reduced modelling of jointed structures in frequency domain analysis of nonlinear steady-state forced response. The method has significant advantages compared with the popular variety of mode synthesis methods or forced response matrix methods and can be easily implemented in the nonlinear forced response analysis using standard finite element codes. The superior qualities of the new method are demonstrated on a set of major problems of nonlinear forced response analysis of bladed discs with contact interfaces: (i) at blade roots; (ii) between interlock shrouds, and (iii) at under platform dampers. The numerical properties of the method are thoroughly studied on a number of special test cases.