 | Straubel M. Design and sizing method for deployable space antennas: Diss … Dr.-Ing. / Deutsches Zentrum für Luft- und Raumfahrt, Institut für Faserverbundleichtbau und Adaptronik, Braunschweig. - Köln: DLR, Bibliotheks- und Informationswesen, 2012. - XIX, 182 S.: Ill., graph. Darst. - (Forschungsbericht; 2012-14). - Bibliogr.: S.173-182. - ISSN 1434-8454
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List of figures ................................................. x
List of tables ............................................... хiii
List of acronyms ............................................... xv
List of symbols .............................................. xvii
1 Introduction ................................................. 1
2 Fundamental hypotheses ....................................... 3
3 Thesis structure ............................................. 5
4 Definition of requirements ................................... 7
4.1 Mission Requirements .................................... 7
4.2 List of Requirements ................................... 10
4.3 Conclusion ............................................. 11
5 State of the art ............................................ 13
5.1 Conventional SAR Antennas .............................. 13
5.2 Deployable Booms ....................................... 14
5.2.1 Tubes ........................................... 14
5.2.2 Trusses ......................................... 19
5.2.3 Other Concepts .................................. 21
5.2.4 Deployable Booms - Conclusion ................... 22
5.3 Gossamer SAR Antennas .................................. 22
5.3.1 Working Principle of Flat Array Antennas ........ 23
5.3.2 Reflect Arrays .................................. 24
5.3.3 Direct Radiating Arrays ......................... 25
5.4 Conclusion ............................................. 26
6 Global design concept ....................................... 27
6.1 Design Concept ......................................... 27
6.2 Detailed Concept ....................................... 28
7 Membrane design & sizing .................................... 33
7.1 Membrane RF Design ..................................... 33
7.2 Membrane Mechanical Design ............................. 36
7.2.1 Membrane Modal Sizing ........................... 36
7.2.2 Membrane Wrinkling .............................. 41
7.3 Final Membrane Design .................................. 47
7.3.1 Membrane Geometry ............................... 47
7.3.2 Membrane Tensioning ............................. 50
7.4 Conclusion ............................................. 54
8 Interface design & sizing ................................... 55
8.1 Spacecraft to Boom Interface Design .................... 56
8.2 Boom to Hub Interface Design ........................... 58
8.3 Frame to Membrane Interface Design ..................... 59
8.3.1 Boom to Membrane Interface ...................... 62
8.3.2 Hub to Membrane Interface ....................... 64
8.4 Interface Sizing ....................................... 65
8.5 Conclusion ............................................. 65
9 Frame Design & Sizing ....................................... 67
9.1 Hub Design ............................................. 68
9.2 Stiffener Design ....................................... 69
9.3 Boom Design ............................................ 70
9.4 Boundary Conditions .................................... 71
9.4.1 Stowed Configuration ............................ 71
9.4.2 Deployed Configuration .......................... 73
9.5 Load Cases ............................................. 73
9.6 Hub Sizing ............................................. 75
9.6.1 FE model ........................................ 76
9.6.2 Failure Criteria ................................ 78
9.6.3 Launch Lock Belt Tension ........................ 80
9.6.4 Modal Requirement ............................... 82
9.6.5 Random Vibration ................................ 83
9.7 Stiffener Sizing ....................................... 85
9.8 Boom Sizing ............................................ 87
9.8.1 FE Model ........................................ 87
9.8.2 Static Antenna Deformation ...................... 89
9.8.3 Global & Local Buckling ......................... 92
9.8.4 Modal Requirement ............................... 95
9.8.5 Thermal Loads .................................. 106
9.9 Conclusion ............................................ 110
10 Closed loop sizing chain ................................... 111
10.1 Sizing Strategy ....................................... 112
10.2 Strategy Implementation ............................... 114
10.2.1 Details on Single Steps ........................ 115
10.2.2 Parameter Study Add-On ......................... 116
10.3 Examples or "What if ...?" ............................ 116
10.3.1 Conf0 - Reference Configuration ................ 117
10.3.2 Conf1 - Changed Deployed First Mode
Frequency ...................................... 119
10.3.3 Conf2 - Changed Stowed First Mode Frequency .... 121
10.3.4 Conf3 - Changed Aperture Area .................. 123
10.3.5 Conf4 - Changed Additional Mass on Service
Membrane ....................................... 124
10.3.6 Conf5 - Change to Antenna Functionality ........ 126
10.3.7 Conf6 - Change of Length to Width Ratio ........ 128
10.4 Example Evaluation .................................... 129
10.5 Resulting Final Configurations ........................ 131
10.5.1 Conf7 - Final Phased Array Concept ............. 131
10.5.2 Conf8 - Final Non-Phased or Reflect Array
Concept ........................................ 133
10.6 Conclusion ............................................ 135
11 Conclusion ................................................. 137
12 Outlook .................................................... 139
A Appendix ................................................... 143
A.1 Radar Wave Penetration Depth .......................... 143
A.2 Antenna Membrane Mass Calculation ..................... 144
A.2.1 Membrane Substrate ............................. 144
A.2.2 LNAs ........................................... 144
A.2.3 Harness ........................................ 145
A.3 Membrane Wrinkling Test ............................... 146
A.4 Membrane Antenna Breadboard Model ..................... 148
A.5 CFS Characterisation .................................. 149
A.6 Frame to Membrane Interfaces .......................... 152
A.7 Load and Requirement Definition for the Stowed
Antenna ............................................... 154
A.7.1 Steady State Acceleration Loads ................ 154
A.7.2 Acoustic & Random Vibration Loads .............. 155
A.7.3 Modal Requirements ............................. 157
A.7.4 Launch Lock Related Static Loads ............... 157
A.8 Load and Requirement Definition for the Deployed
Antenna ............................................... 161
A.8.1 Membrane Tensioning Loads ...................... 161
A.8.2 Modal Requirements ............................. 161
A.9 Hub and Hub Support Block Materials ................... 162
A.10 Static Deformation of Deployed Antenna ................ 166
A.11 Closed Loop Sizing Chain .............................. 169
Publications .................................................. 171
Bibliography .................................................. 173
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