Abstract
Investigated herein are two aspects of the response of a rigid massless foundation of circular plane which is supported at the surface of a homogeneous elastic half space and is excited by a torque about an axis normal to the foundation. A simple discrete model, characterized by frequency-independent parameters, has been presented for a torsionally-excited circular foundation supported at the surface of an elastic half space. In addition, closed form expressions have been presented for the impulse response functions of the system. The response functions considered include the rotation associated with a unit impulsive torque, and the torque associated with a unit impulsive rotation. With the aid of these functions, the response of the system to an arbitrary excitation and the force associated with a prescribed response may be evaluated by direct integration in the time domain.
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