Elastic Waves in Pipe Resting on Two-Parameter Foundation
A method based on Hamiltonian system in complex field is presented in curvilinear coordinates to study elastic waves in pipes of various shapes on two-parameter foundation. The method and its computer program are verified and applied to analyze the axial wave propagation problem of elliptical pipe embedded in foundation. Numerical results show the dispersion changes of varying degree in the presence of foundation and reveal significant influences of the second foundation parameter especially in the low frequency range. The promising and effective way of controlling propagating waves by adjusting the shear ability of foundation is also indicated in the results.
Z. R. Lin and A. Kasai, "Elastic Waves in Pipe Resting on Two-Parameter Foundation", Advanced Materials Research, Vols. 163-167, pp. 2857-2861, 2011