Abstract

The aeroelastic analysis of the turbine cascade is generally solved in frequency domain because of the computational efficiency. Nevertheless, time domain cascade analysis is also required that the transient response analysis of the cascade is important. Model order reduction in the aeroelastic analysis is one of the techniques to overcome the excessive computational load in time domain cascade analysis. In this paper, both time and frequency domain analysis are conducted since results in both domains are important. For a cascade aerodynamic analysis, a kernel function corresponding to the vortex lattice method is used in discrete time domain. The results in mixed time and frequency domain are transferred to frequency domain by using the z transform. The results obtained by applying the z transform are used to analyze the flutter boundary of the cascade. The p transform is also used to obtain the results in time domain from the results acquired in frequency domain. This transformation can provide advantages in terms of model order reduction without additional aerodynamic states and improvement in computational efficiency. Both frequency and time domain analyses can be conducted at a time by using the present analysis for the turbine cascade.

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