The stiffness and damping coefficients for a rigid massless circular foundation resting on homogeneous elastic half-space under vertical harmonic excitation are evaluated using one-dimensional wave propagation in cones (cone model), based on strength of material approach. Using these coefficients, the frequency dependant displacement amplitude as well as the magnification factor of a massive foundation is computed. The resonant frequencies and peak amplitudes are also studied varying the influencing parameters such as the type of soil and the mass of the foundation. To verify the validity of the model developed, the computed response is compared with reported analytical results with wide variation of influencing parameters, which shows a good agreement. Thus, the simplified cone model can be used in day-to-day analysis and design of foundations under vertical dynamic loading.
Pradhan, P. K.
"Vertical Vibration of Founations on Homogeneous Elastic Half-Space,"
International Journal of Advanced Technology in Civil Engineering: Vol. 1
, Article 8.
Available at: https://www.interscience.in/ijatce/vol1/iss1/8