Improved One-Step Block Precise Integration Method For Rotor Nonlinear Response Calculation

Abstract

To improve the issue of excessive computational complexity in the single-step block precise integration method for nonlinear rotor dynamics calculations, a novel sub-block subdivision approach was introduced to refine Duhamel integration and internal point load estimation through fine-tuned matrix-vector operations. This method effectively sidesteps redundant calculations involving zero and identity matrices by precomputing and storing results corresponding to constant matrices. In preserving the accuracy levels of the conventional algorithm, the refined approach has successfully curtailed the computational workload by approximately 20%. The advanced computational strategy was tested on a dual-disc rotor model to conduct a nonlinear response calculation. The outcomes were benchmarked against results from the established Newmark method, demonstrating efficacy and efficiency of the implemented improvements. Additionally, distinct applicability scenarios of the two algorithms were substantiated.

Keywords: Single step block method, Precise integration method, Subblock, Rotor dynamic response, Nonlinear

DOI: 10.54941/ahfe1005200