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Foundation Vibration Analysis Using Simple Physical Models by John P. Wolf

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Chapter 5. Simple Vertical Dynamic Green’s Function

To analyze the dynamic behavior of a foundation of arbitrary shape with a rigid basemat on the surface of a homogeneous half space, an equivalent radius of a circular disk can be determined with the same area as the basemat for translation or with the same moment of inertia for rotation. For each degree of freedom, the disk foundation is represented by its own cone model. This procedure discussed in Chapter 2 is accurate and can, for instance, be used for a rectangular foundation up to a slenderness ratio of length to width equal to four (Section 2.8.7). The equivalent-radius concept cannot be applied to very slender rectangular or, for instance, L-forms.

To analyze the vertical and rocking motions ...

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