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Some numerical results are given which indicate that the predictions of Mindlin plates are uncannily good approximations to the flexural frequencies given by the present, three-dimensional analysis even for very thick plates.
Techniques include extreme-cases reasoning, dimensional analysis, successive approximation, discretization, generalization, and pictorial analysis.
Numerical simulations confirm the predictions of the stability analysis even for complex problems, and show that the AMP algorithm remains stable, without sub-iterations, for light and even zero-mass three-dimensional rigid bodies of general shape.
The dimensional analysis is made.
They can be simplified by dimensional analysis.
This relation is derived empirically through dimensional analysis.
Dimensional analysis provides a simple explanation of this relationship.
Firstly, dimensional analysis was performed using CFA.
Obviously, two-dimensional analysis provides less information than three dimensional analysis.
This example demonstrates the utility of a multi-dimensional approach to elucidate events which would escape conventional single dimensional analysis.
CT scan, three-dimensional image analysis or even computer navigation system, if practical, might provide better information considering HJC location and shape changes of the acetabulum in future studies.
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