투영 기반 모델 차수 축소를 적용한 회전 구성품의 매개 변수 조화 균형 해석

In this paper, parametric model-order reduction (MOR) framework is utilized for the harmonic balance analysis of a rotating component, in conjunction with the hyper-reduction (HR) method. Proper orthogonal decomposition (POD) mode is used as a reducing basis. Energy conserving weighting and sampling (ECSW) method is also employed to reduce the computational cost for the nonlinear force vector and its gradient matrix Numerical simulation is attempted for an example with approximately 0.9 million degrees of freedom The additional off-line cost is required for the collection of the pre-computed results, POD mode extraction, and ECSW method Nevertheless, significant efficiency is demonstrated. In addition, vibratory response, including the nonlinear super-harmonic component, is accurately obtained within the relative discrepancy of 1% when compared against those by the full-order analysis. Considering the required computational cost including that for the off-line stage, it is found that the present HR-MOR framework will be efficient for the parametric harmonic balance simulation.