Dynamics of a hollow rubber-metal laminate structure

Abstract

Transverse frequencies of vibration of a hollow cylindrical rubber‐metal laminate structure, subject to a mean pressure difference across the cylinder wall will be presented. Extending Timoshenko beam theory to model such a structure, we use two independent observations most often credited to J. A. Haringx: First, an analogy exists between an axially loaded Euler beam and a pipe without axial loading but subject to internal pressure, and second, for this type of rubber‐metal laminate structure, the transverse component of the axial load acts perpendicular to the bending slope, rather than the deflection slope. When dynamics of the pressurized laminate are considered, theory predicts somewhat unexpected changes in the resonance frequency of transverse bending modes as a function of mean pressure difference across the structure. Experimental results illustrating static buckling behavior will be shown for both positive and negative pressure differentials, corresponding to the analogous axial loading cases of buckling in both compression and tension. In applications where oscillatory pressures are present across the structure, the unusual tuning curve has implications for prediction of parametric instabilities.