Unstable cyclically symmetric and stable asymmetric pumpkin balloon configurations

Collection of Technical Papers - AIAA 5th ATIO and the AIAA 16th Lighter-than-Air Systems Technology Conference and Balloon Systems Conference

Volumn 3, Issue , 2005, Pages 1421-1435

  Baginski, Frank ^a,d   Brakke, Kenneth A ^b   Schur, Willi W ^c,d  

^a GEORGE WASHINGTON UNIVERSITY   (United States)

^b SUSQUEHANNA UNIVERSITY   (United States)

^c AIAA ^*  (United States)

^d AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; COMPUTER SIMULATION; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; NUMERICAL METHODS; SYSTEM STABILITY;

GROUND INFLATION TESTS; LINEAR CONSTRAINTS; PUMPKIN-TYPE BALLOONS;

BALLOONS;

EID: 33644507092     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2005-7446     Document Type: Conference Paper

References (16)

1. F. Baginski, K. Brakke, and W. Schur, Cleft formation in large pumpkin balloons, to appear in Advances in Space Research.
2. F. Baginski, K. Brakke, and W. Schur, Stability, Clefting and Other Issues Related to Undesired Equilibria in Large Pumpkin Balloons, AIAA-2005-1803, 6th AIAA Gossamer Spacecraft Forum, April 2005.
3. F. Baginski, "On the design and analysis of inflated membranes: natural and pumpkin shaped balloons," SIAM Journal on Applied Mathematics, 65 No. 3 (2005), 838-857.
4. F. Baginski and W. Schur, "Undesired equilibria of self-deploying pneumatic envelopes," to appear in the AIAA Journal of Aircraft.
5. F. Baginski and W. Schur, "Structural Analysis of Pneumatic Envelopes: A Variational Formulation and Optimization-Based Solution Process," AIAA J., Vol. 41, No. 2, February 2003, 304-311.
6. F. Baginski and W. Collier, "Modeling the shapes of constrained partially inflated high altitude balloons,"AIAA J., Vol. 39, No. 9, September 2001, pp. 1662-1672.
7. Errata: AIAA J. , Vol. 40, No. 9, September 2002, pp. 1253.
8. K. Brakke, The Surface Evolver, Experimental Mathematics 1:2 (1992) 141-165.
9. C. R. Calledine, "Stability of the Endeavour Balloon" in Buckling of Structures, I. Elishakoff et al., eds., Elsevier Science Publishers, (1988) 133-149.
10. W. G. Collier, " Estimating stresses in a partially inflated high altitude balloon using a relaxed energy," Quarterly of Applied Mathematics, Vol. 61 No. 1 (2003) 17-40.
11. A. Lennon and Pellegrino, S. (2000) "Stability of Lobed Inflatable Structures," AIAA-2000-1728, 41st AIAA/ASME/ASCE/AHS/ASC Structural Dynamics, and Materials Conference and Exhibit, Atlanta, GA, April 2000.
12. W. Press et al, Numerical Recipes in C, 2nd ed., Cambridge University Press, 1992.
13. A. C. Pipkin, "Relaxed energy densities for large deformations of membranes," IMA Journal of Applied Mathematics, Vol. 52, 1994, pp. 297-308.
14. W. W. Schur , and C. H. Jenkins, "Deployment destiny, stable equilibria, and the implications for gossamer design", AIAA-2002-1205, 43nd AIAA/ASME/ ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference and Exhibit, Denver, CO, April 2002.
15. Justin H. Smalley, "Development of the e-Balloon", National Center for Atmospheric Research, AFCRL-70-0543, Boulder Colorado, June 1970.
16. M. S. Smith and E. L. Rainwater, Optimum designs for super-pressure balloons, Adv. Space Res., 33 (2004) 1688-1693.