Analysis of Forced Response for Bladed Disks Mistuned by Material Anisotropy Orientation Scatters

Abstract

A new method is developed for the forced response analysis of mistuned bladed disks manufactured from anisotropic materials and mistuned by different orientations of material anisotropy axes. The method uses (i) sector finite element (FE) models of anisotropic bladed disks and (ii) FE models of single blades and allows the calculation of displacements and stresses in a mistuned assembly. A high-fidelity reduction approach is proposed which ensures high-accuracy modeling by introducing an enhanced reduction basis. The reduction basis includes the modal properties of specially selected blades and bladed disks. The technique for the choice of the reduction basis has been developed, which provides the required accuracy while keeping the computation expense acceptable. An approach for effective modeling of anisotropy-mistuned bladed disk without a need to create a FE model for each mistuning pattern is developed. The approach is aimed at fast statistical analysis based on Monte Carlo simulations. All components of the methodology for anisotropy-mistuned bladed disks are demonstrated on the analysis of models of practical bladed disks. Effects of anisotropy mistuning on forced response levels are explored.

Sensitivity and Forced Response Analysis of Anisotropy-Mistuned Bladed Disks With Nonlinear Contact Interfaces

“…[15]). The sensitivity of the found solution, X * , with respect to the material anisotropy angles are calculated from equation (12), which is…”

“…The forced response of anisotropy mistuned bladed disks has been studied using reduced models in [11] and using high-fidelity reduction approach in [12].…”

Nonproportional Intentionally Mistuned Turbine Blisk Design with Improved Component Modal Synthesis

“…e frequency, critical speeds, and Campbell diagram were studied [5]. Based on the investigation of the frequency, lots of scholars studied the response, and the forced and transient responses were conducted by establishing the sector finite element model (FEM) or lumped mass model, while these models were rarely applied to engineering [6][7][8].…”

Application of Improved Dynamic Substructure Finite Element Model-Based State-Space Techniques in Mistuned Blisks

“…The modal frequency and modal shape of the mistuned bladed disk were studied [3,4]. Based on the investigation of the modal, many researchers studied the output response, including forced responses and transient responses [5][6][7]. Furthermore, Bonhage et al [8,9] proposed a semianalytical solution to calculate the transient exceeding amplitudes.…”