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The tethers of a tension leg platform (TLP) represent a design controlled by the required natural frequency of the floating TLP.
The coarse tuning segment is used to tune the required natural frequency in a relatively wide effective bandwidth and the fine tuning segment can achieve precise tune in a tiny-scale bandwidth.
The latter relationships both guarantee that the Wittrick Williams root finding algorithm can still be used to converge on any required natural frequency, despite any lack of reciprocity arising from differential coupling, and for the case of symmetric material coupling coefficients, enable their value to be determined precisely from experimental results.
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This is accomplished using the Wittrick Williams algorithm, which enables the required natural frequencies to be converged upon to any required accuracy with the certain knowledge that none have been missed.
Exact finite elements form the basis of a new and convenient procedure for converging with certainty upon the required natural frequencies of any plane structure composed of slender elastic curved members of constant radius.
An appropriate form of the Wittrick-Williams algorithm is presented for converging on the required natural frequencies to any desired accuracy with the certain knowledge that none have been missed.
Based on the achieved results, using 2-D six-parameter power-law distribution leads to a more flexible design so that maximum or minimum value of natural frequency can be obtained in a required manner.
By varying the mass, the natural frequency of each TMFD unit is adjusted to the required value. 5.
Angular natural frequency and eigenvalue.
The natural frequencies of the MTMFD are uniformly distributed around their average natural frequency.
The piezoelectric transducer, in case you're wondering, measures natural frequency.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com