Combination Resonance of Bellows Subjected to Oscillating Internal Fluid Pressure

Abstract

This paper deals with a theoretical analysis and experimental study of combination resonance of the flexible bellows subjected to oscillating internal fluid pressure excitation. The governing equation of the bellows is expressed with the Mathieu's type equation. The parametric instability boundaries of bellows are calcuated by the first-order approximation analysis using perturbation method. As a result, it is clarified that combination resonance occurs in the bellows due to the oscillating internal fluid pressure excitation. And the theoretical results of the parametric instability boundaries agree well with the experimental results.