The lateral stiffness and damping of a stretched rubber beam

A theory is presented for the effect of axial strain on the stiffness and damping of a rubber strip clamped at its ends and deformed laterally. Experiments on such a system were carried out, varying the tensile strain and the sample dimensions. Both free and forced oscillations were used, the former giving more accurate results for the damping. The results were compared with the theoretical predictions with very good agreement. The work suggests that it may be possible to vary the damping of an engineering component by design of the shape and mode of application of the forces, rather than by variation of the rubber compound out of which it is made. This presents possible advantages with regard to overall performance of the component, for example, the temperature sensitivity. It also suggests a mechanism for possible artefacts in characterisation tests for elastic and loss moduli of the material.