Earth Vibration Effects and Abatement for Military Facilities. Report 3. Analysis Method for Footing Vibrations through Layered Media
Research rept. 1 Jun 1970-30 Jun 1972
CALIFORNIA UNIV BERKELEY COLL OF ENGINEERING
Pagination or Media Count:
A numerical method is presented for the analysis of steady-state wave propagation problems in linearly elastic or viscoelastic media of infinite extent. Plane and axisymmetric geometries are considered which consist of a finite irregular region joined to semi-infinite layered regions. By this method, torsional and vertical vibrations of circular footings on, or embedded in, homogeneous and inhomogeneous soil layers over rock are studied. The irregular region is discretized by compatible finite elements, while the semi-infinite layered regions are discretized by subdividing the layers into thin sublayers and by assuming that within each sublayer the displacements vary linearly in the direction normal to the layers. In the direction parallel to the layers, the displacements are expanded into a finite number of plane or axisymmetric propagating and decaying wave modes which are determined by the solution of algebraic eigenvalue problems. Dynamic stiffness matrices are developed which uniquely relate nodal forces to simultaneous nodal displacements at the boundary between the irregular and the layered regions and thus represent the dynamic response of the semi-infinite layered regions.
- Soil Mechanics
- Structural Engineering and Building Technology