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Blade transmissibility by FEA. Justin Greenhalgh, Rutherford Appleton Lab LSC, March 2004 LIGO-G040058-00-K. Contents. Report Motivation Background Results Next steps Discussion Is this the right way to go? Any caveats etc?. Background.
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Blade transmissibility by FEA Justin Greenhalgh, Rutherford Appleton Lab LSC, March 2004 LIGO-G040058-00-K
Contents • Report • Motivation • Background • Results • Next steps • Discussion • Is this the right way to go? • Any caveats etc?
Background • Norna (ALUKGLA0010) showed that the isolation in the quads (and triples?) will be OK provided that the internal modes of the different blades are high enough and do not coincide. • Ken went on to assert (ALUKGLA0007) that high enough meant about 40 Hz. • Picture from Norna. • Will the blades give adequate isolation? • In particular, will the peaks in transmissibility caused by the internal modes overlap? • And what is the effect of the mass of the wire clamps?
So – find the actual transmissibility of the blades and multiply by the curves above (updated). (Even better, reproduce the curves above PLUS blade internal modes).
Run through T040024 • Modal analysis of reference blade • Modal analysis of blade from Conceptual design • Harmonic • No damping (cf Norna’s plot) • With damping, various damping ratios • Test effect of changing alpha on internal modes • Prestress • Add wire • Effect of wire clamp mass
T040024 • Pretty simple stuff over Christmas • Uses ANSYS macro language for ease of “what if” scenarios • Simple to write macros so that a command of the form • bf1,.48,.0045,.096,.01,20,1,1000,.050,11 • Will find the eigenvalues of a blade 0.48m long, 0.0045 thick, .096 root width, 0.01m tip width, find up to 20 eigenmodes in the range 1 to 1000 Hz, with .05kg wire clamp and 11kg mass.
T040024 • ANSYS will find • Eigenvalues and normal mode shapes • Transmissibility in a given frequency range and linear frequency step
What equations is the FE solving? • Modal analysis • Harmonic analysis • Damping
FE equations • So, use 1/(2Q) as the damping value in the ANSYS DMPRAT command.
Modal analysis of reference blade • Modal analysis of “reference” blade • Frequency has been measured at 55 Hz
Effect of adding mass at blade tip • 11 kg mass at blade tip
Harmonic • No damping • With damping, various damping ratios
Harmonic – with damping • “Zoom in” on peak by specifying restricted frequency range
Prestress Without With Little/no effect, as expected
Add wire Wire constrained laterally
Mode shapes Do any of these tie up with this peak?
Note T040025 • Revised dimensions • Easy changes allows look at a set of blades • NB resolution of peak • Results so far
Resolving the peaks… • All three blades are analysed at a background range plus an “zoom” range for each one:
Next • So far – simply testing out the methods + tools • Next – get more detailed/serious • Reference to this group – am I doing anything silly? • Check this method can reproduce Husman results • Get latest blade/wire dimensions • Check transmissibility vs measurements • Calum’s thesis? • Elsewhere? • Cross check with more detailed FE models (RAJ, MPL, others?) • Explore effect of clamp mass again • Model sloping wires • What other effects to bear in mind?
Discussion points • Reference to this group – am I doing anything silly? • Check transmissibility vs measurements • Calum’s thesis? • Elsewhere? • Cross check with more detailed FE models (RAJ, MPL, others?) • Explore effect of clamp mass again • Does this include “Norna’s curves” or do those need to be added in to the results? • What other effects to bear in mind?