Structural analysis of launch vehicles

ODEL WITH ONCENTRATED ASSES IN ANK ECTIONS UTPUTS

3.7 Q -S FEA A – I ....................................................................................... 74

UASI TATIC NALYSIS NPUTS

3.7.1 Q -S FE M , S 1, A L .................................................................. 74

UASI TATIC ODEL ET PPLIED OADS

3.7.2 Q -S FE M , S 2, A L .................................................................. 75

UASI TATIC ODEL ET PPLIED OADS

3.8 Q -S A , L S 1 – O ........................................................................ 77

UASI TATIC NALYSES OAD ET UTPUTS

3.8.1 FE M H D E , L S 1 – O ...................................... 77

ODEL WITH IGHER ENSITY LEMENTS OAD ET UTPUTS

3.8.2 FE M S E T S , L S 1 – O ........................... 79

ODEL WITH OLID LEMENTS IN ANK ECTIONS OAD ET UTPUTS

3.8.3 FE M C M T S , L S 1 – O ................ 80

ODEL WITH ONCENTRATED ASSES IN ANK ECTIONS OAD ET UTPUTS

3.9 Q -S A , L S 2 – O ........................................................................ 81

UASI TATIC NALYSES OAD ET UTPUTS

3.9.1 FE M H D E , L S 2 – O ...................................... 81

ODEL WITH IGHER ENSITY LEMENTS OAD ET UTPUTS

3.9.2 FE M S E T S , L S 2 – O ........................... 84

ODEL WITH OLID LEMENTS IN ANK ECTIONS OAD ET UTPUTS

3.9.3 FE M C M T S , L S 2 – O ................ 86

ODEL WITH ONCENTRATED ASSES IN ANK ECTIONS OAD ET UTPUTS

4 T -S L , F E CAD M .......................................................... 89

HREE TAGE AUNCHER LIGHT NVELOPE AND ODEL

4.1 CAD M D ......................................................................................................... 90

ODEL ESCRIPTION

4.1.1 P ..................................................................................................................... 91

ROPELLANT

4.1.2 S ...................................................................................................................... 92

TRUCTURE

4.1.3 M ............................................................................................................... 94

ASS VARIATION

4.1.4 S L .......................................................................................................... 95

IMILAR AUNCHERS

4.2 A , ........................................................................ 97

PPLIED LOADS AND ANALYSES SUMMARY TABLES

5 T S L , F A R ..................................................... 98

HREE TAGE AUNCHER INITE ELEMENT NALYSES AND ESULTS

5.1 FEA M D ........................................................................................................ 99

ODEL ESCRIPTIONS

5.1.1 FE M D , G N .......................................................................... 99

ODEL ESCRIPTIONS ENERAL OTES

5.1.2 S E H D D – I ......................................................... 101

HELL LEMENTS AVING IFFERENT ENSITY NPUT 4

Structural Analysis of Launch Vehicles

5.1.3 S E S T - ...................................................... 101

OLID LEMENTS IN THE ECTIONS OF THE ANKS INPUT

5.1.4 T M S E H D D - I .............................. 103

UBE ODEL WITH HELL LEMENTS AVING IFFERENT ENSITY NPUT

5.1.5 T M S E S T - O ....................... 104

UBE ODEL WITH OLID LEMENTS IN THE ECTIONS OF THE ANKS UTPUT

5.2 FEA A – O ....................................................................................................... 105

NALYSIS UTPUTS

5.2.1 S E H D D – O ...................................................... 105

HELL LEMENTS AVING IFFERENT ENSITY UTPUT

5.2.2 S E S T – O .................................................. 108

OLID LEMENTS IN THE ECTIONS OF THE ANKS UTPUT

5.2.3 T M S E H D D – O .......................... 109

UBE ODEL WITH HELL LEMENTS AVING IFFERENT ENSITY UTPUT

5.2.4 T M S E S T – O ....................... 111

UBE ODEL WITH OLID LEMENTS IN THE ECTIONS OF THE ANKS UTPUT

5.3 T FEA A – I ............................................................................................ 113

HERMAL NALYSIS NPUTS

5.3.1 FE M C M .......................................................................... 113

ODEL WITH ONCENTRATED ASSES

5.3.2 FE M , A L .............................................................................................. 114

ODEL PPLIED OADS

5.4 T FE A – O .......................................................................................... 116

HERMAL NALYSES UTPUTS

5.4.1 FE M H D E – O ...................................................... 116

ODEL WITH IGHER ENSITY LEMENTS UTPUTS

5.4.2 FE M S E T S – O ........................................... 118

ODEL WITH OLID LEMENTS IN ANK ECTIONS UTPUTS

5.4.3 FE M C M T S – O ................................ 120

ODEL WITH ONCENTRATED ASSES IN ANK ECTIONS UTPUTS

5.5 Q -S FEA A – I ..................................................................................... 122

UASI TATIC NALYSIS NPUTS

5.5.1 Q -S FE M , S 1, A L ................................................................ 123

UASI TATIC ODEL ET PPLIED OADS

5.5.2 Q -S FE M , S 2, A L ................................................................ 124

UASI TATIC ODEL ET PPLIED OADS

5.6 Q -S A , L S 1 – O ...................................................................... 125

UASI TATIC NALYSES OAD ET UTPUTS

5.6.1 FE M H D E , L S 1 – O .................................... 125

ODEL WITH IGHER ENSITY LEMENTS OAD ET UTPUTS

5.6.2 FE M S E T S , L S 1 – O ......................... 127

ODEL WITH OLID LEMENTS IN ANK ECTIONS OAD ET UTPUTS

5.6.3 FE M C M T S , L S 1 – O .............. 129

ODEL WITH ONCENTRATED ASSES IN ANK ECTIONS OAD ET UTPUTS

5.7 Q -S A , L S 2 – O ...................................................................... 130

UASI TATIC NALYSES OAD ET UTPUTS

5.7.1 FE M H D E , L S 2 – O .................................... 130

ODEL WITH IGHER ENSITY LEMENTS OAD ET UTPUTS

5.7.2 FE M S E T S , L S 2 – O ......................... 133

ODEL WITH OLID LEMENTS IN ANK ECTIONS OAD ET UTPUTS

5.7.3 FE M C M T S , L S 2 – O .............. 135

ODEL WITH ONCENTRATED ASSES IN ANK ECTIONS OAD ET UTPUTS

6 L M V C ............................................................................. 138

UMPED ASS ALIDATION AND ONCLUSIONS

6.1 E , E M A ..................................................................... 139

IGENVALUES IGENVECTORS IN ODAL NALYSIS

6.1.1 2-S L (RAK), L ......................................................... 140

TAGE AUNCHER UMPED MASSES ANALYSIS

6.1.2 3-S L , L .................................................................. 142

TAGE AUNCHER UMPED MASSES ANALYSIS

6.2 2-S L (RAK), S ..................................................................................... 142

TAGE AUNCHER UMMARY

6.2.1 N A ................................................................................................. 143

ORMAL MODE NALYSIS

6.2.2 T A , S ......................................................................................... 143

HERMAL NALYSIS UMMARY

6.2.3 “Q -S ” A , S ............................................................................... 144

UASI TATIC NALYSIS UMMARY

6.3 3-S L , S T .................................................................................... 144

TAGE AUNCHER UMMARY ABLES 5

Structural Analysis of Launch Vehicles

6.3.1 N A ................................................................................................. 145

ORMAL MODE NALYSIS

6.3.2 T A ......................................................................................................... 145

HERMAL NALYSIS

6.3.3 “Q -S ” A ................................................................................................ 146

UASI TATIC NALYSIS

6.4 C ........................................................................................................................ 147

ONCLUSIONS

R ....................................................................................................................................... 148

EFERENCES 6

Structural Analysis of Launch Vehicles

T F

ABLE OF IGURES

Figure 1 – Resonance, standing wave effect, Ref. [29] ......................................................................... 18

Figure 2 – Any motion can be decomposed in a sum of mode motions, Ref [28] ................................ 18

Figure 3 – Graphical representation of the equation, Ref [28] ............................................................. 21

Figure 4 – Idealised launch vehicle coordinate system ........................................................................ 23

Figure 5 – Forces and moments acting on typical primary beam element .......................................... 23

Figure 6 - RAK total Assembly ............................................................................................................... 29

Figure 7 - Example of one of the HTPBs (R-45HTLO) ............................................................................. 30

Figure 8 - The star shaped solid grain ................................................................................................... 31

Figure 9 - Design of the nose cone ........................................................................................................ 31

Figure 10 - Design of the canard wings ................................................................................................. 32

Figure 11 - Design of the tail wings ....................................................................................................... 32

Figure 12 – RAK, First stage .................................................................................................................. 33

Figure 13 – RAK, Second stage .............................................................................................................. 33

Figure 14 – Canard Box and Ogive ........................................................................................................ 34

Figure 15 – RAK, global view. ................................................................................................................ 35

Figure 16 - RAK overall dimensions ....................................................................................................... 35

Figure 17 - Mass variation due to propulsion of the first and second stages ....................................... 36

Figure 18 - Typical longitudinal static acceleration for SSO mission, Ref [14] ...................................... 39

Figure 19 - Envelope shock response spectra (SRS) for stages/fairing separations and clamp-band

release at the spacecraft base (Q=10) .................................................................................................. 41

Figure 20 – Load envelope in case of Quasi-Static transverse load set, Ref. [33] ................................ 43