MPUQ-b: Bootstrapping based modal parameter uncertainty quantification—methodology and application

Abstract

Building on a previous paper that illustrated the fundamental principles of bootstrapping, and how it can be employed in context of quantifying uncertainty in modal parameter estimation, a new methodology for uncertainty quantification in estimated modal parameters is proposed. This methodology, termed as Bootstrapping based Modal Parameter Uncertainty Quantification (MPUQ-b), utilizes bootstrapping for the purpose of statistical inference regarding estimated modal parameters. This second paper, elaborates and demonstrates MPUQ-b methodology and shows how bootstrapping can be incorporated in modal parameter estimation process. Suggested method is validated by means of comparison with Monte Carlo simulation studies on a numerical five degrees-of-freedom system. It is highlighted in the paper, how MPUQ-b differs from other methods available in the literature and its advantages and limitations are discussed.