Analysis of Deformation of Mistuned Bladed Disks With Friction and Random Crystal Anisotropy Orientation Using Gradient-Based Polynomial Chaos Expansion

Abstract

Single crystal blades used in high pressure turbine bladed disks of modern gas-turbine engines exhibit material anisotropy. In this paper the sensitivity analysis is performed to quantify the effects of blade material anisotropy orientation on deformation of a mistuned bladed disk under static centrifugal load. For a realistic, high fidelity model of a bladed disk both: (i) linear, and (ii) non-linear friction contact conditions at blade roots and shrouds are considered. The following two kinds of analysis are performed: (i) local sensitivity analysis, based on first order derivatives of system response w.r.t design parameters, and (ii) statistical analysis using polynomial chaos expansion. The polynomial chaos expansion is used to transfer the uncertainty in random input parameters to uncertainty in static deformation of the bladed disk. An effective strategy, using gradient information, is proposed to address the “curse of dimensionality” problem associated with statistical analysis of realistic bladed disk.

Numerical Investigation of a Mistuned Academic Bladed Disk Dynamics With Blade/Casing Contact

“…Yet, the robustness of intentionally mistuned blade designs should still be assessed with regards to mistuning. In both linear and nonlinear contexts, robust numerical predictions accounting for a bladed disk mistuning are typically achieved by means of Monte Carlo simulations [14] or polynomial chaos expansion [15].…”

Numerical Investigation of an Academic Mistuned Bladed Disk Dynamics Accounting for Blade/Casing Contacts

“…Latest researches suggest that intentional mistuning can even be used as a way to improve further modern aircraft engine designs [8]. In both linear and nonlinear contexts, robust numerical predictions accounting for a bladed disk mistuning are typically achieved by means of Monte Carlo simulations [9] or polynomial chaos expansion [10].…”

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

“…In order to quantify the effect of anisotropy mistuning variation it is useful to calculate the sensitivity of system response with respect to the anisotropy orientation angles. Rajasekharan in [13] performed local and global sensitivity analysis to quantify the effect of anisotropy axis mistuning on static displacements due to centrifugal loading. The sensitivity of forced response of linear models of anisotropy mistuned bladed disk with respect to anisotropy angle parameters has been studied in [14].…”