Abstract
This chapter presents three engineering applications for the sake of illustration. To be able to concentrate on the key aspects related to foundation vibration the problems are simplified, deleting all aspects that could distract from this goal. This permits a detailed discussion that the reader can follow step by step. The chapter analyzes a machine foundation consisting of a block of concrete on the surface of a layered half-space excited by a reciprocating machine, a two-cylinder compressor with cranks at 90°C. The periodic loading is equal to a harmonic vertical force with the frequency of the machine, and two harmonic moments, the first with the frequency of the machine and the second with twice this frequency. The chapter calculates a very simple case of seismic soil-structure interaction. The structure is modeled as a single degree of freedom system when fixed at its base. The structure's foundation is embedded in a layered half-space. The coupled structure-soil system is excited by a historic horizontal earthquake, a non-periodic (arbitrary) excitation. The chapter analyzes a wind turbine tower supported by a suction caisson foundation. Harmonic loading arising from the loss of lift on the blades as they pass the tower is addressed.
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