pressure vessel design for hpgtpc - indico.fnal.gov
TRANSCRIPT
Prashant Kumar, Vikas Teotia, Sanjay Malhotra
Bhabha Atomic Research Centre Trombay, India
26.07.2019
Pressure Vessel Design for HPgTPC
DUNE Pressure Vessel Meeting 26.07.2019
DUNE Pressure Vessel Meeting 26.07.2019
Pressure Vessel Shell thickness calculation for AL 5083
Design and Analysis for Torispherical Head
Design and Analysis for Elliptical Head
Comparison b/w Elliptical Heads based on ratio of Major to Minor axis
Analysis of Support for Pressure Vessel
Topics discussed in previous Meeting
Note: Material Properties for AL 5083 (71 MPa) were taken from literature survey
Outline
• Allowable stress (ASME, D) for PV Materials and corresponding thickness
• Maximum Allowable stress for AL 5083 Series
• Appendix 1 / Ellipsoidal Head Design
• 2D Axisymmetric Analysis & Results Discussion
• Assessment of failure criteria and limitation of Div 1
• Design by Analysis (Div 2 ) Requirements
• Stress Classification for HPgTPC P. Vessel
• Elastic stress analysis to avoid Plastic Collapse
• Limit verification to avoid Plastic Collapse
• 3D FEM Analysis for HPgTPC Pressure Vessel with distributed mass (300 Ton)
Initiated
• Summary and Conclusion
• Future Work
DUNE Pressure Vessel Meeting 26.07.2019
Allowable S for PV Materials & corresponding Thickness
S.
No
Categori
es
ASME
Materials
(Plate, sheet),
II, D
Allowabl
e stress
(MPa)
Shell
(t mm)
(Div 1, UG-27)
Elliptical
Head (t, mm)
Appendix 1
Nozzle wall
(t, mm)
Opening
1000 mm
1 Aluminu
m
SB20
9
A95083,
H321
86.9 33.2 = 34 23 6
2 Carbon
Steel
SA 283 118 24.3 = 25 17 5
SA 516 128 22.4 = 23 16 4
SA 537 138 20.8 = 21 14 4
SA 738 158 18.1 = 19 13 4
3 Stainless
Steels
SA-240 S301 138 20.8 = 21 14 4
SA-666 S21904 177 16.2 = 17 11 3
SA-240 S30815 172 16.7 = 17 12 3
SA-240 S32202 185 15.5 = 16 11 3
4 Nickel SB-409 177 16.2 = 17 11 3
SB-424 161 17.8 = 18 12 4
*** Corrosion allowance, mill tolerance to be added further
DUNE Pressure Vessel Meeting 26.07.2019
Maximum Allowable stress for AL 5083 Series
DUNE Pressure Vessel Meeting 26.07.2019
Appendix 1 / Ellipsoidal Head Design
D / 2h = 5725 / (2*2000) = 1.43
K = 0.67
t = 23 mm
Crown radius = K * D
= 0.67 * 5725
= 3836 mm
S. N Description Value
1 Internal pressure (P) 10 bar (1 MPa)
2 D 5725 mm
3 K 0.66
4 S (AL 5083) 86.9 MPa
5 E 1.00
DUNE Pressure Vessel Meeting 26.07.2019
2D Axisymmetric Analysis & Results Discussion
500 mm
Nozzle to Head Junction Head to Shell Transition Shell
DUNE Pressure Vessel Meeting 26.07.2019
Assessment of Failure criteria and limitation of Div 1
Failure Criteria
Justification for higher allowable stresses (Div 2)
• Experienced obtained from other PV Codes
• More stringent material requirements
• Higher material toughness requirements
• Increased NDE
Assessment
(Particular to
HPgTPC)
Div 1 Div 2
TOF MPST Tresca (earlier) /
Distortion Energy
Criteria (Now)
FOS 3.5 3.0 (Higher S)
Load
classification
Not
considered
in Design
Detail consideration
in Design
Fabrication and
Inspection
norms
Easy
compared to
Div 2
Stringent
Requirement
DUNE Pressure Vessel Meeting 26.07.2019
Design by Analysis (Div 2 ) Requirements
Design by Analysis: It is organised based on protection against the failure modes.
1. Protection against Plastic Collapse
2. Protection against Local Failure
3. Protection against collapse from buckling
4. Protection against failure from cyclic loading
3 Analysis method are provided for evaluating protection against plastic collapse
1. Elastic stress analysis method
2. Limit – Load Method
3. Elastic – Plastic Stress Analysis Method (Ratcheting analysis)
DUNE Pressure Vessel Meeting 26.07.2019
Stress Classification for HPgTPC P. Vessel (Div 2)
S. N Vessel
Component
Location Origin of Stress Type of Stress Classification
1 Shell Remote from
Discontinuities
Internal Pressure General Membrane
Gradient through shell
thickness
Pm
Pb
PL
Q
Junction with head or
flange
Internal Pressure
2 Dished head
(Elliptical Head)
Crown Internal Pressure Membrane
Bending
Knuckle or Junction to
shell
Internal Pressure Membrane
Bending
Peak
3 Nozzle
(In one of the Elliptical
Head)
Outside the limits
of reinforcement
Pressure General Membrane Pm
Pb
PL
Q
Pressure and all external
loads and moments
(Load attributed by dead
weight of nozzle closure,
weight of Person)
Membrane
Bending
Peak
Nozzle wall Gross structural
discontinuities
Membrane
Bending
Peak
Differential Expansion
4 Nozzle Closure
(Flat head)
Center region Internal pressure Membrane
Bending
Pm
Pb
Junction to shell Internal pressure Membrane
Bending
PL
Q
DUNE Pressure Vessel Meeting 26.07.2019
Elastic stress analysis to avoid Plastic Collapse
S.N AL 5083 (SB209)
1 Density 2657 Kg/m3
2 Isotropic elasticity 71 GPa
3 Tensile yield strength 125 MPa
4 Tensile ultimate strength 275 MPa
DUNE Pressure Vessel Meeting 26.07.2019
Limit Verification
Load Combination
(MPa)
Limit SCL 1 SCL 2 SCL 3 SCL 4 SCL5 SCL 6 SCL
7/8
SCL 9 SCL 10
Pm (S) 86.9 21.768 13.12 4.35 20.05 27.36 37.662 40.59 87.4 76.95
Pb (1.5 SPL) 130.35 28.593 145.01 62.48 45.673 36.05 30.19 18.12 1.24 34.44
Pm + Pb (1.5 SPL) 124.05 30.687 124.93 54.34 65.72 63.09 67.851 58.70 87.96 84.06
Peak Stress 29.58 9.64 23.53 16.29 1.43 0.9 0.004 73.97
Max Total 55.68 56.163 67.93 58.83 87.96 120.95
Remarks Pass …… Pass Pass Pass Pass Pass …… …….
DUNE Pressure Vessel Meeting 26.07.2019
3D FE Analysis of HPgTPC Pressure Vessel
Solid Model Load Consideration
Mesh
S.
N
Particulars Values
1 Internal Pressure 10 bar (1 MPa)
2 ID of Shell 5725 mm
3 Head Type Ellipsoidal (D/2h = 1.43)
4 Manhole ID 1000 mm
5 Distributed Mass 300 Ton
6 Shell Thickness 40 mm
7 Nozzle Height 300 mm
DUNE Pressure Vessel Meeting 26.07.2019
Summary and Conclusion
• Shell Thickness calculation done for different PV materials including
Al 5083
• 2D Analysis and stress classification
• Design by Analysis as per Div 2 initiated (Preliminary)
• 3D Analysis with distributed mass (300 Ton) initiated
DUNE Pressure Vessel Meeting 26.07.2019
Future Work
• Thickness calculation as per Div 2
• Rigorous analysis for Ellipsoidal Head and Shell to be carried out
(As per Div 2)
• Support System
• BOLT Design
• Flange Design for Pressure Vessel and Heads
• Support Locations to avoid excessive sagging and hogging
DUNE Pressure Vessel Meeting 26.07.2019
Thank You
For
Your Kind Attention
DUNE Pressure Vessel Meeting 26.07.2019