@article{son-yuk-lix-han-15-aa-trosc,
  author = {Haiyang Song and Kaiping Yu and Xiangyang Li and Jingyong Han},
  title = {Affine Arithmetic Applied to Transient Statistical Energy Analysis of a Two-Oscillator System},
  journal = {Mechanics Research Communications},
  volume = {70},
  pages = {12-16},
  year = 2015,
  issn = {0093-6413},
  doi = {10.1016/j.mechrescom.2015.08.009},
  comment = {Application to dynamic analysis of metal structures},
  abstract = {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.}
}