GLAST LAT Project DOE/NASA Mechanical Systems Peer Review, March 27, 2003 GLAST Large Area Telescope: Gamma-ray Large Area Space Telescope Mechanical Systems Peer Review 27 March 2003 Radiator Structural Design Parviz Sharifi Lockheed Martin Structural Analysis parviz.sharifi@lmco.com Section 4.2 - Mechanical Systems Radiator Assy 1 GLAST LAT Project DOE/NASA Mechanical Systems Peer Review, March 27, 2003 Radiator Level IV Design and Structural Requirements Parag. Parameter 3.3.3 Stiffness 3.3.4 Dynamic Envelope Requirement Design Margin Comply > 50 Hz > 60 Hz +10 Hz Shown in ICD ± 1.8 mm (Launch Loads) ± 3.2 mm (2mm misalign.) -2.2 mm Y N (TBD), working on ICD Core Shear MSu = 0.02; Gx = 5.1 g, Gy = 30 g, and Y (insert Brckt Inserts MSu = 0.03; Gz = 8.5 g test TBD) Heat Pipes MSy = 0.39 3.3.6 Static Loads See Table 8 (TBR) 3.3.8 Acoustic Loads See Table 9 Included above 3.3.9 Shock Loads See Table 10 TBD 3.3.10 Sinusoidal Vibration See Table 11 (TBR) Enveloped by above Based on: Loads included in above margins Ver. Method A, T A, T A Y A, T TBD TBD A, Test at Obs. Level Enveloped by Static Loads Y A, T Radiator Level IV Design Specification, LAT-SS-00394-1-D6, Draft, Dated 5 Mar 2003 LAT Mechanical Systems Interface Definition Dwg, Radiator-LAT Interface, LAT-DS-01221, Draft, Dated 25 Feb 2003 Verification Methods A: Analysis, I: Inspection, T: Test Section 4.2 - Mechanical Systems Radiator Assy 2 GLAST LAT Project DOE/NASA Mechanical Systems Peer Review, March 27, 2003 Finite Element Model of Radiator • • • • • • • Honeycomb sandwich construction – Modeled using 3 layer sandwich plate-shell elements – Captures core shear deformation effects Heat pipes – Modeled using beam elements Panel end-member and brackets – Modeled using beam elements Tie downs – Modeled using grounded springs Bolted connections – Modeled with grounded or zerolength springs Model Size: – Nodes 4840 – Shell elements: 4284 – Beam elements: 564 – Spring Elements: 38 Analysis Weight: 36.0 kg (79.3lb) per radiator Edge Member VCHP Reservoirs 6 PLs Axial Tie Downs 2 PLs Y X Shaded Areas Higher Densidy Core Heat Pipes 6 PLs Radiator FEA Mesh Coordinate axes indicate the Radiator Panel coordinate system, for use in FEA modeling Section 4.2 - Mechanical Systems Radiator Assy 3 GLAST LAT Project DOE/NASA Mechanical Systems Peer Review, March 27, 2003 Finite Element Model of Radiator End Member Tie Downs, 2 PLs Z Y X Heat Pipes Bolted to Patch-Plate, 6 PLs End Fully Restrained Bracket, 2 PLs Coordinate axes indicate the Radiator Panel coordinate system, for use in FEA modeling Isometric View of Radiator FEA Model Section 4.2 - Mechanical Systems Radiator Assy 4 GLAST LAT Project DOE/NASA Mechanical Systems Peer Review, March 27, 2003 Launch Load Environment Primary structure loads – Static Equivalent • – Sinusoidal Vibration • • Acceleration loads from Radiator Level-IV LAT-SS-00394-1 (3/5/03) – X-direction (transverse): ±3.375 g, – Y-direction (thrust): ± 8.5 g, – Z-direction (normal): ± 1.25 (1.7g + AF) Preliminary load cycle results indicate accelerations are enveloped by current specification limits Random vibration Acoustic loads – Finite element vibro-acoustic analysis performed to define 3-sigma staticequivalent acceleration due to acoustic loads on the Radiator panel – Acoustic spectrum from Radiator Level-IV Spec • – Normal Load Factor = 25g x 1.2 (MUF) = 30g Revised Acoustic Levels (Fig.) produce lower load factors Axial (Y) 8.5 g Transverse (X) 5.1 g Normal (Z) 30 g Acoustic Qual Levels (Old vs New) 140 Sound Pressure Level (db) • 135 130 125 120 115 110 105 Old 100 New 95 90 10 100 1000 10000 Frequency (Hz) Static-Equivalent Accelerations under Launch Environment (Panel Coords) Change in Acoustic Levels from PDR Coordinate axes indicate the Radiator Panel coordinate system, for use in FEA modeling Section 4.2 - Mechanical Systems Radiator Assy 5 GLAST LAT Project DOE/NASA Mechanical Systems Peer Review, March 27, 2003 Revised Launch Load Environment Revised Acoustic Loads analysis – Single support system at radiator CG – Reactive loads indicate lower normal loads but higher in-plane loads Reactions Power Spectral Density 4500 4000 Fx Fy Fz 3500 3000 Force^2/Hz • 2500 2000 1500 1000 500 0 10 100 1000 Frequency (Hz) Mode f (Hz) 1 61.6 2 66.8 3 92.0 4 112.8 5 118.1 6 132.5 7 136.8 Section 4.2 - Mechanical Systems Radiator Assy 6 GLAST LAT Project DOE/NASA Mechanical Systems Peer Review, March 27, 2003 Revised Launch Load Environment • Revised Acoustic Environment produces lower normal loads, but higher in-plane loads Load Environment Acoustic Static-Equivalent Lf Combined Load Factors • Gx 8.06 3.38 8.73 Gy 3.71 8.50 9.27 Gz 14.10 1.70 19.75 Stress analysis of the Radiator under the new combined load factors indicates somewhat smaller margins at all locations Section 4.2 - Mechanical Systems Radiator Assy 7 GLAST LAT Project DOE/NASA Mechanical Systems Peer Review, March 27, 2003 Modal Analysis, First 5 Stowed Frequencies • All stowed frequencies are above the 50 Hz requirement No Shear Deformation Mode No. 1 2 3 4 5 Frequency (HZ) 62.4 70.5 93.6 118.9 125.6 Including Shear Deformation Frequency (HZ) 61.6 66.8 92.0 112.8 118.1 Mode Shape 1st YZ Bending Mode 1st XZ Bending Mode 1st Twisting Mode 2nd YZ Bending Mode 2nd Twisting Mode Radiator First Five Natural Frequencies Coordinate axes indicate the Radiator Panel coordinate system, for use in FEA modeling Section 4.2 - Mechanical Systems Radiator Assy 8 GLAST LAT Project DOE/NASA Mechanical Systems Peer Review, March 27, 2003 Panel Mode Shapes Normal Mode 1, f1 = 61.6 Hz, 1st YZ Bending Mode Normal Mode 2, f2 = 66.8 Hz, 1st XZ Bending Mode Section 4.2 - Mechanical Systems Radiator Assy 9 GLAST LAT Project DOE/NASA Mechanical Systems Peer Review, March 27, 2003 Panel Mode Shapes Mode 4, f4 = 112.8 Hz, 2nd YZ Bending Mode Normal Mode 3, f3 = 92.0 Hz, 1st Twisting Mode Normal Mode 5, f5 = 118.1 Hz, 2nd Twisting Mode Section 4.2 - Mechanical Systems Radiator Assy 10 GLAST LAT Project DOE/NASA Mechanical Systems Peer Review, March 27, 2003 Radiator Deformed Shape Under Launch Loads Max Normal Disp = 1.8 mm Deformed Shape Under Launch Loads Section 4.2 - Mechanical Systems Radiator Assy 11 GLAST LAT Project DOE/NASA Mechanical Systems Peer Review, March 27, 2003 Stress Analysis Results—Face Sheet Margins • • Facesheet stress analysis indicates positive margins of safety for all high-stress regions Facesheet material properties – Material: 6061-T6 aluminum (Top: 0.060” thk, Btm: 0.030” thk) – Ftu = 296 MPa (43 ksi) – Fty = 255 MPa (37 ksi) Panel Location Elem Location Near Brackt (HDC) 711 At Brackt (Dblrs) 709 FWD Cut-out region 315 At Tie-Down 4660 Aft Sq. hole 4915 S/A hole region 4638 Edge, Resvr_Cut_out 5946 MSy = Fty/(1.25 si) –1 MSu = Ftu/(1.4 si) –1 Sxx ( Pa) (ksi) 34.49 5.00 22.69 3.29 26.62 3.86 19.99 2.90 14.53 2.11 19.57 2.84 14.36 2.08 Syy ( Pa) (ksi) 17.69 2.57 17.54 2.54 2.13 0.31 24.52 3.56 28.45 4.13 -0.32 -0.05 1.18 0.17 Sxy ( Pa) (ksi) 7.07 1.03 6.10 0.89 3.78 0.55 0.33 0.05 0.08 0.01 0.29 0.04 2.55 0.37 Seff MSy MSu Failure ( Pa) (FS=1.25) (FS=1.4) Mode (ksi) 32.29 4.9 5.1 Tension 4.68 23.16 7.8 8.1 Tension 3.36 26.45 6.7 7.0 Tension 3.84 22.60 7.3 7.6 Tension 3.28 24.64 6.2 6.4 Tension 3.57 19.73 9.3 9.7 Tension 2.86 14.49 13.1 13.6 Tension 2.10 Facesheet Stresses and Margins of Safety Section 4.2 - Mechanical Systems Radiator Assy 12 GLAST LAT Project DOE/NASA Mechanical Systems Peer Review, March 27, 2003 Stress Analysis Results—Core Shear Margins • Core shear stress analysis indicates positive margins of safety for all high-stress regions – Basic Core Material: 5000 series aluminum • • – Fsu12 = 35 kPa (5 psi) Fsu13 = 1379 kPa (200 psi) Ribbon Dir; Fsu23 = 758 kPa (110 psi) Hi_Den Core Material: 5000 series aluminum, density is ~2*basic core density • • Fsu12 = 69 kPa (10 psi) Fsu13 = 3.62 MPa (525 psi) Ribbon Dir; Fsu23 = 2.10 MPa (305 psi) Panel Location FWD Supprt HD + Doublrs FWD End Cut-outs LD FWD Sq. hole Edge LD AFT Sq. hole Edge LD AFT Circ. hole Edge LD at Tie-Down HD + Doublr Res_Cut_Edge LD Elem Location 709 315 1825 4753 4634 4660 6145 Sxz (k Pa) (psi) 1094.0 158.7 340.2 49.3 246.2 35.7 409.1 59.3 126.5 18.3 804.0 116.6 171.5 24.9 Syz (k Pa) (psi) 1293.5 187.6 260.4 37.8 148.2 21.5 68.4 9.9 17.1 2.5 794.9 115.3 91.2 13.2 MSu (1.4) Failure Mode 0.02 Core Shear (Qx, Qy) 0.32 Core Shear (Qx, Qy) 0.88 Core Shear (Qx, Qy) 0.19 Core Shear (Qx, Qy) 2.84 Core Shear (Qx, Qy) 0.46 Core Shear (Qx, Qy) 1.73 Core Shear (Qx, Qy) Core Stresses and Margins of Safety Bi-axial quadratic failure criterion: MSu = 1/SQRT((Fs.tyz/(Ks*Fsu13))^2 + (Fs.txz/(Ks*Fsu23))^2) -1; Ks=0.9 LD = Basic core material HD = High density core material Section 4.2 - Mechanical Systems Radiator Assy 13 GLAST LAT Project DOE/NASA Mechanical Systems Peer Review, March 27, 2003 Stress Analysis Results—Heat Pipe Margins • • Heat pipe stress analysis indicates positive margins of safety for all stressed regions Heat pipe material properties – Material: 6063-T6 aluminum – Ftu = 241 MPa (35 ksi); Fty = 214 MPa (31 ksi) Panel Location H-Pipe at bolted suppt Single flanged H Pipes S-Shape Bent, Round H Pipes (no flange), junction of panel H Pipes in Panel Single Flange Extension @ Resrvr 304 CRES Tube Extension Aluminum Round Elem Loc 6805 6810 6820 6967 6877 6875 Axial (N) (lb) -32.4 -7.3 54.2 12.2 -44.4 -10.0 -418.4 -94.1 18.1 4.1 -43.9 -9.9 Mz (N-m) (in-lb) -1.9 -17.1 -3.6 -31.6 2.1 18.9 -2.9 -25.4 0.5 4.8 -0.1 -1.2 My (N-m) (in-lb) -0.2 -1.4 -0.2 -1.7 0.0 -0.2 0.4 3.7 -0.1 -0.7 0.0 0.1 Tq (N-m) (in-lb) 0.0 0.0 -0.2 -1.5 0.4 3.8 0.2 2.2 0.5 4.5 -0.1 -0.5 Sx(pi) s t MSy (N) ( Pa) ( Pa) (1.25) (ksi) (ksi) (ksi) 2.4 6.0 0.1 13.6 0.4 0.9 0.0 2.4 29.4 1.1 3.9 0.4 4.3 0.2 2.4 17.1 2.2 6.5 0.4 2.5 0.3 2.4 11.7 0.5 9.0 0.4 1.7 0.1 9.3 9.3 4.4 4.0 1.4 1.3 0.6 3.5 2.6 0.3 14.1 0.5 0.4 0.0 MSu (1.4) 13.8 4.0 6.6 9.1 10.2 14.2 Heat Pipe Stresses and Margins of Safety (includes 170 psi int. pressure) MSy = Fty/(1.25 si) –1 MSu = Ftu/(1.4 si) –1 Section 4.2 - Mechanical Systems Radiator Assy 14 GLAST LAT Project DOE/NASA Mechanical Systems Peer Review, March 27, 2003 Stress Analysis Results—Bolt/Insert Margins • • • Bolt and insert analysis indicates positive margins of safety Bolt material properties – Material: CRSS A-286 stainless steel – Ftu = 1.103 GPa (160 ksi); Fty = 0.827 GPa (120 ksi) – Fsu = 0.655 GPa (95 ksi) Insert ultimate strengths (Estimated from existing tests) – 5/16”-24 UNF insert • • – Pull-out = 6.47 kN (1454 lb) Shear = 7.16 kN (1610 lb) 10-32 UNF insert • • Pull-out = 3.56 kN (800 lb) Shear = 4.79 kN (1077 lb) Bolt Loads Location Brackets 4 bolts Tie-Down 4 bolts Bolt Size Dia PreLoad (mm) (kN) (in) (lb) 7.94 15.1 5/16"-24 0.3125 3400.0 4.83 5.1 No. 10-32 0.190 1151.3 Bolt Margins* Axial Shear (kN) (kN) (lb) (lb) 3.9 0.9 873.9 213.6 0.8 0.4 184.7 80.0 Insert Margins* MSu MSy Tension Shear (1.4) (1.25) (1.4) (1.4) 1.28 0.91 0.03 3.68 0.53 0.29 1.69 8.36 * Note: Factor of safety on Ultimate = 1.4, Yield = 1.25, Fittng factor = 1.15 MSy = Fty/(1.25 si) –1 MSu = Ftu/(1.4 si) –1 Bolt and Insert Stresses and Margins of Safety Section 4.2 - Mechanical Systems Radiator Assy 15 GLAST LAT Project DOE/NASA Mechanical Systems Peer Review, March 27, 2003 Summary and Further Work • • Summary – Preliminary analysis indicates the revised Acoustic spectrum produce smaller loads than the assumed dynamic load factor of 30g – Positive stress margins obtained for sandwich panel, bolts, inserts and heat pipes – Stowed frequency requirements satisfied – Dynamic envelope exceeds the spec req. Further Work – Update analyses using static-equivalent loads from CDR CLA results – Protoflight qualification testing will verify analysis results and models – Detail design of brackets and tie-downs not completed yet – Follow-on analysis to be completed • • • • • Structural assessment of integration and transportation loads – expected to be enveloped by the launch load environment Shock Analysis Random Vibration Analysis (in view of lower acoustic loads) On-orbit thermal distortion analysis Fatigue analysis Section 4.2 - Mechanical Systems Radiator Assy 16