Reliability optimization of friction-damped systems using nonlinear modes

Abstract

A novel probabilistic approach for the design of mechanical structures with friction interfaces is proposed. The objective function is defined as the probability that a specified performance measure of the forced vibration response is achieved subject to parameter uncertainties. The practicability of the approach regarding the extensive amount of required design evaluations is strictly related to the computational efficiency of the nonlinear dynamic analysis. Therefore, it is proposed to employ a recently developed parametric reduced order model (ROM) based on nonlinear modes of vibration, which can facilitate a decrease of the computational burden by several orders of magnitude. The approach was applied to a rotationally periodic assembly of a bladed disk with underplatform friction dampers. The robustness of the optimum damper design was significantly improved compared to the deterministic approach, taking into account uncertainties in the friction coefficient, the excitation level and the linear damping. Moreover, a scale invariance for piecewise linear contact constraints is proven, which can be very useful for the reduction of the numerical effort for the analysis of such systems.

References in corpus (2)

• A method for nonlinear modal analysis and synthesis: Application to harmonically forced and self-excited mechanical systems
• A High-Order Harmonic Balance Method for Systems With Distinct States

Cited by in corpus (4)

• Nonlinear modal analysis of nonconservative systems: Extension of the periodic motion concept
• A Phase Resonance Approach for Modal Testing of Structures with Nonlinear Dissipation
• On the Efficacy of Friction Damping in the Presence of Nonlinear Modal Interactions
• Extension of the single-nonlinear-mode theory by linear attachments and application to exciter-structure interaction