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One very important difference between a system step response and a higher order response is that a step response is bounded, while a higher order response is not.
The higher order response surface calculations are also compared with CFD calculations for a typical offshore module and good agreement is also observed.
Higher order response surfaces were constructed for energy absorption and peak crushing force, which was validated by comparing against various close-form solutions published in literature.
One has to distinguish between these higher order response functions in terms of the stimulus strength from the second-order PRCs above mentioned (see [15] for instance) that relate to the second cycle after the stimulus.
The predicted results are compared with CFD findings for a classical offshore experiment conducted by British Gas on behalf of Mobil and good agreement is observed for higher order response surfaces.
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If r (the number of active responses) is much smaller than n (the size of the state space), one can show that by recasting GPT equations in terms of the active responses, all higher order responses variations can be determined to a user-defined accuracy criterion.
An explicit finite element analysis (FEA) is used to derive higher-order response surfaces for these two objectives.
Compared a single capacitor with a high-order response frequency (0.42 MHz) and a 1 × 2 array parallel capacitor, we found that the 1 × 2 array parallel capacitor had a broader high-order response range.
Variational Technology is a highly efficient method to provide accurate, high-order response surfaces based on a single finite element analysis.
Finite element calculating software was used to evaluate the deformation mode around its high-order response frequency.
And it concluded that a DC bias voltage can be used to modulate a high-order response frequency for both a single and 1 × 2 array parallel capacitors.
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