Showing papers by "Hem Hunt published in 2013"
TL;DR: In this article, a three-dimensional, single-pile model was proposed to account for boundary conditions using the superposition of loading cases, and the response of the pile is presented in terms of the stiffness and damping coefficients, and also the magnitude and phase of a pile-head frequency-response function.
22 citations
01 Jan 2013
TL;DR: In this article, an analytical solution for the natural frequencies of an elastic spherical shell subject to internal pressure is described. But, the model does not incorporate constant tension in the membrane; hence, the assumption of constant tension is not valid.
Abstract: Balloons are one example of pressurised, elastic, spherical shells. Whilst analytical solutions exist for the vibration of pressurised spheres, these models only incorporate constant tension in the membrane. For elastic shells, changes in curvature will result in restoring forces that are proportional to the elasticity in the membrane; hence the assumption of constant tension is not valid. This paper describes an analytical solution for the natural frequencies of an elastic spherical shell subject to internal pressure. When the membrane tension is set to zero, the results are shown to converge to the analytical solution for a spherical shell, and when the skin elasticity is neglected, the results converge to the constant-tension solution. This analytical solution is used to predict the natural frequencies of a small balloon, based on a value for the elastic modulus that is determined using biaxial tensile testing. These predictions are compared to experimental measurements of balloon vibrations using impact hammer testing, and good agreement is seen.
3 citations