Affine arithmetic applied to transient statistical energy analysis of a two-oscillator system

• Affine arithmetic is applied to transient statistical energy analysis.
• The influence of the parameters measurement error on predicted energy is revealed.
• The total energy interval and the peak energy interval of structure are derived.

This paper applies affine arithmetic to transient statistical energy analysis (SEA) of a two-oscillator system, and the influence of the measurement errors of parameters on predicted transient energy is revealed. By considering the damping loss factors and coupling loss factors with measurement errors as interval variables, the mathematical expressions of the total energy interval and the peak energy interval can finally be derived. Then two flat plates which are perpendicular to each other and joined together through bolts are exploited as numerical example to demonstrate the feasibility and effectiveness of the presented approach. Meanwhile, the structural transient energy calculated from the presented approach is compared with that obtained from the traditional method which did not consider the measurement errors of damping loss factors and coupling loss factors.