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Both the analytical study and the BEM implementation are addressed.
These are, not coincidentally, the areas that sabermetrics (the analytical study of baseball) is most focused on.
Secondly, the analytical study of passive piezoelectric vibration shunt control of cantilever beam was undertaken.
The analytical study is complemented with numerical simulations relevant to different discrete systems.
Using information from the analytical study, an importance sampling density is proposed.
For the analytical study of such problems, one may usually employ finite series or sinusoidal forms.
However, the analytical study of random vibration problems of such a system is usually difficult.
The validity of the analytical study is confirmed by an extensive evaluation of experiments.
For the analytical study, however, they have to be carefully formulated.
The analytical study is accompanied by a full scale nonlinear FE study using commercial package ABAQUS.
Results obtained from the analytical study using the energy method are compared with those measured experimentally.
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