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

作者：Song Haiyang; Yu Kaiping^*; Li Xiangyang; Han Jingyong

来源：Mechanics Research Communications, 2015, 70: 12-16.

DOI：10.1016/j.mechrescom.2015.08.009

• Transient statistical energy analysis
• Affine arithmetic
• Measurement errors
• Energy intervals

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.

• 出版日期2015-12
• 单位哈尔滨工业大学