Abstract
The Craig-Bampton method has repeatedly shown its effectiveness in modelling the deformable solid body motion and in practical experience of implementing this approach in engineering software. It reduces the motion equations system which is obtained by approximating small elastic displacements of the body finite element model with a set of acceptable modes. The application of this method in engineering improves the computing time performance and requires less computational resources. In this article the effectiveness of using the Craig-Bampton method for the blade rotation is evaluated. The need to consider the inertial relationship between large body displacements and elastic deformations was investigated. As a result of the numerical solution, it was obtained that the method works correctly for the investigated task. It allows us to conclude that the Craig-Bampton method is applicable for the blade rotation process.
Highlights
The Craig-Bampton method is used in the analysis of diverse objects, whether it is a moving or a static construction, that is either under the influence of forces changing in time or interacting with other objects
One of the latest researches [1] showed the significant reduction of computing time in vibroacoustic analysis of SSTL300 spacecraft with a complex structure using the Craig-Bampton method
The Craig-Bampton method allows selecting the eigenforms of vibrations so that the maximum amount of deformations can be captured with a minimum amount of modal coordinates
Summary
The Craig-Bampton method is used in the analysis of diverse objects, whether it is a moving or a static construction, that is either under the influence of forces changing in time or interacting with other objects. As a result of comparisons, it was found that the accuracy of the method for DOF in physical and modal coordinate systems was almost identical This fact indicates a good reliability of the technique which makes it possible to store the complete data set of the vibroacoustic solution in a very compact form. As mentioned in the previous studies, the method dramatically reduces the calculation time, keeping the relative error about several percent. Another important advantage of the method is that the transmission of information about subsystems in the form of reduced matrices allows design organizations to keep commercial secrets without disclosing unnecessary information.
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