Status of Cylindrical Support tub studies Aug 12

Status of Cylindrical Support tub studies Aug. 12 ’ 08 KEK H. Yamaoka Square Support Tube 600 QD 0(700 kg) Beam. CAL(100 kg) LHCAL(3000 kg) 60 mm-thick 50 From Matthieu-san 00 Lumi. CAL(250 kg) ECAL(420 kg) Cylindrical Support Tube QD 0(700 kg) 750 Beam. CAL(100 kg) LHCAL(3000 kg) Lumi. CAL(250 kg) 6000 ECAL(420 kg) 1

- Materials -Stainless steel -Aluminum -CFRP(Not carried out) Beam. CAL: 100 kg LHCal: 3000 kg Lumi. Cal: 250 kg ECal: 420 kg Fixed -Load condition See: right-upper QD 0: 700 kg Self-weight -Constraints - Only cylinder-end. - Not constraint on the middle position -Models ・Half-Cylinder ・Full-Cylinder ・Half-cylinder with reinforcement ribs -Analyses ・Static analysis ・Modal analysis ・Dynamic analysis due to grand motion 2

Results Static analysis - Half-cylinder - Stainless-steel - 50 mm-thick - Each detector weight +Self-weight Fixed Stress: 83 MPa deformation: 20 mm 3

Natural frequencies 1 st mode: 4 Hz 2 nd mode: 6 Hz 3 rd mode: 20 Hz 4

Amplitude of the support tube due to grand motion Vertical-dir. @KEK: ATF(17: 00 Feb. 10, 2004) Linear Spectrum 2 x 10 -7 m/s 2 FFT Input Acc. = 2 x 10 -7 m/s 2 Mass=(2685. 5+700+100+3000+250+420)/9. 8[m/s 2] Self-weight(half-cylinder) F 0 cos(wt)=(m・a)sin(wt) F 0=2 x 10 -3 N w= 0 – 1000 Hz ・Input value is measurement data at ATF in KEK. ・Input data is assumed to harmonic vibration. 5

Amplitude (mm) Calculation results 7. 8 x 10 -6 mm = 7. 8 nm (@4 Hz) Phase angle (deg. ) Frequency (Hz) The maximum amplitude: 8 x 10 -6 mm = 8 nm @ 4 Hz(1 st mode) 6

B. Full-cylinder, SUS, 50 mm-thick - Staic Def. : 3. 2 mm Stress: 38 MPa - Natural freq. 1 st : 10 Hz 2 nd : 79 Hz 3 rd : 122 Hz - Harmonic Amp. : 3 nm C. Half-cylinder, SUS, Reinforcement ribs - Staic Def. : 8. 5 mm Stress: 54 MPa - Natural freq. 1 st : 6 Hz 2 nd : 8 Hz 3 rd : 28 Hz - Harmonic Amp. : 3 nm 7

Summary - Half-cylinder is too large deformation/stress. It should be full-cylinder Cylinder must be halved. Configuration? ? - Stainless steel is the best material for support tube? ? Smaller deformation/stress than aluminum case. CFRP, tungsten is not realistic? ? - Additional support is not necessary? ? - Amplitude due to grand motion is acceptable? ? a few nm. 8 End