الفهرس 
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Abstract
Design of machine foundation involves the prediction of vibration magnitude.
Very slight (of the order of a hundredth of a centimeter) vibration magnitude may cause
harm to function of the machine and may even terrify people or threaten the safety of
surrounding structures so the codes and manufacturers of the machines limit the
amplitudes of the vibrations ofmacbine foundation to certain values depending on their
frequencies and types. In most designs the interaction of nearby machine foundations is
ignored, with the assumption of being far apart to minimize their cross effects. With no
reliable analysis of machine foundation interaction, ignorance of interaction may lead to
unsatisfactory results.
In this research the cross interaction of machine foundations is investigated using
the finite element method (FEM). The soil is modeled as visco-elastic half space. The
complex response method is adopted and the analysis is implemented in the frequency
domain. A model of two square footings using three dimensional finite elements, loaded
with vertical harmonic forces is analyzed to study the following factors:
1. The effect of loading parameters (angular velocity, amplitude and phase difference)
and spaciog on the interaction of surface footings
Abstract
Design of machine foundation involves the prediction of vibration magnitude.
Very slight (of the order of a hundredth of a centimeter) vibration magnitude may cause
harm to function of the machine and may even terrify people or threaten the safety of
surrounding structures so the codes and manufacturers of the machines limit the
amplitudes of the vibrations ofmacbine foundation to certain values depending on their
frequencies and types. In most designs the interaction of nearby machine foundations is
ignored, with the assumption of being far apart to minimize their cross effects. With no
reliable analysis of machine foundation interaction, ignorance of interaction may lead to
unsatisfactory results.
In this research the cross interaction of machine foundations is investigated using
the finite element method (FEM). The soil is modeled as visco-elastic half space. The
complex response method is adopted and the analysis is implemented in the frequency
domain. A model of two square footings using three dimensional finite elements, loaded
with vertical harmonic forces is analyzed to study the following factors:
1. The effect of loading parameters (angular velocity, amplitude and phase difference)
and spaciog on the interaction of surface footings