Undesired equilibria of self-deploying pneumatic envelopes

Journal of Aircraft

Volumn 42, Issue 6, 2005, Pages 1639-1642

  Baginski, Frank E ^a,b,c   Schur, Willi W ^b,c  

^a GEORGE WASHINGTON UNIVERSITY   (United States)

^b Department of Mathematics ^*

^c AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; PRESSURE EFFECTS; STRESS ANALYSIS;

PRESSURE BALLOON; SELF DEPLOYING STRUCTURES;

AERODYNAMICS;

EID: 29544452586     PISSN: 00218669     EISSN: 15333868     Source Type: Journal    
DOI: 10.2514/1.15817     Document Type: Article

References (8)

1. Baginski, F., "On the Design and Analysis of Inflated Membranes: Natural and Pumpkin Shaped Balloons," SIAM Journal on Applied Mathematics, Vol. 65, No. 3, 2005, pp. 838-857.
2. Schur, W. W., and Jenkins, C. H., "Deployment Destiny, Stable Equilibria, and the Implications for Gossamer Design," AIAA Paper 2002-1205, April 2002.
3. Baginski, F., and Collier, W., "Modeling the Shapes of Constrained Partially Inflated High Altitude Balloons," AIAA Journal, Vol. 39, No. 9, 2001, pp. 1662-1672; errata, AIAA Journal, Vol. 40, No. 9, 2002, p. 1253.
4. Baginski, F., and Schur, W., "Structural Analysis of Pneumatic Envelopes: A Variational Formulation and Optimization-Based Solution Process," AIAA Journal, Vol. 41, No. 2, 2003, pp. 304-311.
5. Collier, W. G., "Estimating Stresses in a Partially Inflated High Altitude Balloon Using a Relaxed Energy," Quarterly of Applied Mathematics, Vol. 61, No. 1, 2003, pp. 17-40.
6. Baginski, F., Brakke, K., and Schur, W., "Stability, Clefting and Other Issues Related to Undesired Equilibria in Large Pumpkin Balloons," AIAA Paper 2005-1803, April 2005.
7. Baginski, F., Brakke, K., and Schur, W., "Cleft Formation in Pumpkin Balloons," Advances in Space Research (to be published).
8. Pipkin, A. C., "Relaxed Energy Densities for Large Deformations of Membranes," Journal of Applied Mathematics, Vol. 52, No. 3, 1994, pp. 297-308.