support tube dynamic analysis kek’s ansys simulation –model details –single point response...
TRANSCRIPT
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Support Tube Dynamic Analysis
• KEK’s ANSYS simulation– model details– Single Point Response Spectrum analysis
• SUGGESTED improvements– beam model– Harmonic Response Analysis– Random Analysis– Transient Dynamic Analysis (time domain)
E. Doyle 12/6/99
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KEK model constraints
horiz rotations free, all other d.o.f. fixed
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Four freq/displacement points used in KEK SPRS analysis
- analysis of max response to transient event
- damping accounted for in response curve
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Beam Model - simply supported
more efficient than shell model
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Beam Model vs. Shell Model
• Natural frequencies in Hz
Mode# KEK SLACvert 1 61.7 62.1
2 70.0 78.8horiz 1 61.9 74.2
2 70.2 91.2
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Beam Model - cantilever
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Responses of Concern
• Differential motion between Q1 magnets• Resulting from
– non-uniform ground motion at two ends– structure asymmetry
• ANSYS can be used to explore these– tube support dynamics– benefit from joining two cantilevers
(creation of common modes)
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Excitation Modes of Concern
• Harmonic - cultural sources– Harmonic Response Analysis
• Random - natural and cultural sources– Random PSD (power spectral density)– Transient Analysis (time domain)
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Harmonic Analysis
• Sinusoidal excitation at specified ampl & freq• Response at magnet mount points
• Combine responses at all frequencies of interest
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Harmonic analysis - vert base motion, unit amplitude
Different damping for the two beams
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Random Vibration Analysis
• Input PSD of base motion
• Result is PSD response at each magnet
• how to interpret?
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Absolute PSD Response
( 1m2/hz flat input)
--------- FREQUENCY
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PSD Response relative to base motion
--------- FREQUENCY
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Transient Dynamic Analysis
• Input sampled ground motion (time domain)• Response is motion in time domain• Combine in time domain (outside ANSYS)• Generate cross correlation function (outside ANSYS)