A Fast Eigenfunction Approach for Computing Spinning Disk Deflections

Abstract

Due to a complicated spectrum of natural modes of vibration, flexible spinning disks are very sensitive to transverse loading, and deflections have been difficult to compute. Developed in this paper is an efficient technique for determining the forced response from space fixed loads. Using an eigenfunction expansion, we are able to identify, a priori, those modes which are most important to the overall response. By ignoring unimportant modes we are able to coverge upon a numerical solution with a speed that is orders of magnitude faster than other commonly used techniques.