Skip to main content Accessibility help
×
Home

Deformation Analysis of the Tapered Inflatable Beam

  • Z. Chen (a1), H. T. Zhao (a1), J. Chen (a1), Z. T. Zhang (a1) and D. P. Duan (a1)...

Abstract

In the theory research and engineering practice, more basic inflatable models are essential for the mechanical property analysis of inflatable structures. Firstly, this paper presents a model of the tapered inflatable cantilever beam based on Timoshenko's theory and analyzes its deformation under a concentrated force. Moreover, the following forces resulting from internal pressure and taper ratio are introduced into the equilibrium equations of the deformed configuration. Thus, the model is optimized compared to the existing one for a straight beam. To verify the effectiveness and the superiority of the established model, the theoretical method based on the model and FEM method are compared by adopting an example about the tapered beams. Finally, the theoretical method is applied in analyzing the influence of geometry and estimating a valid range of taper ratio. By the criterion of the same amount material area, the optimum taper ratio is obtained.

Copyright

Corresponding author

*Corresponding author (zht@sjtu.edu.cn)

References

Hide All
1. Comer, R. L. and Levy, S., “Deflections of an Inflated Circular Cylindrical Cantilever Beam,” AIAA Journal, 1, pp. 16521655 (1963).
2. Main, J. A., Peterson, S. W. and Strauss, A. M., “Load-Deflection Behavior of Space-Based Inflatable Fabric Beams,” Journal of Aerospace Engineering, 7, pp. 225238 (1994).
3. Main, J. A., Peterson, S. W. and Strauss, A. M., “Beam-Type Bending of Space-Based Membrane Structures,” Journal of Aerospace Engineering, 8, pp. 120128 (1995).
4. Fichter, W. B., “A Theory for Inflated Thin-Wall Cylindrical Beams,” NASA Technical Note, NASA TN D-3466, pp. 121 (1966).
5. Wielgosz, C. and Thomas, J. C., “Deflections of Inflatable Fabric Panels at High Pressure,” Thin-Walled Structures, 40, pp. 523536 (2002).
6. Thomas, J. C. and Wielgosz, C., “Deflections of Highly Inflated Fabric Tubes,” Thin-Walled Structures, 42, pp. 10491066 (2004).
7. Van, A. L. and Wielgosz, C., “Bending and Buckling of Inflatable Beams: Some New Theoretical Results,” Thin-Walled Structures, 43, pp. 11661187 (2005).
8. Apedo, K. L., Ronel, S., Jacquelin, E., Bennani, A. and Massenzio, M., “Nonlinear Finite Element Analysis of Inflatable Beams Made from Orthotropic Woven Fabric,” International Journal of Solids & Structures, 47, pp. 20172033 (2010).
9. Davids, W. G., “In-Plane Load-Deflection Behavior and Buckling of Pressurized Fabric Arches,” Journal of Structural Engineering, 135, pp. 13201329 (2009).
10. Nguyen, Q. T., Thomas, J. C. and Van, A. L., “Inflation and Bending of an Orthotropic Inflatable Beam,” Thin-Walled Structures, 88, pp. 129144 (2015).
11. Liao, S. J., “Series Solution of Large Deformation of a Beam with Arbitrary Variable Cross Section under an Axial Load,” Anziam Journal the Australian & New Zealand Industrial & Applied Mahtematics Journal, 51, pp. 1033 (2009).
12. Cui, C., “A Solution for Vibration Characteristic of Timoshenko Beam with Variable Cross-Section,” Journal of Dynamics & Control, 3, pp. 258262 (2012).
13. Wang, Y. Q., “Nonlinear Vibration of a Rotating Laminated Composite Circular Cylindrical Shell: Traveling Wave Vibration,” Nonlinear Dynamics, 77, pp. 16931707 (2014).
14. Wang, Y. Q., “Nonlinear Vibration Response and Bifurcation of Circular Cylindrical Shells under Traveling Concentrated Harmonic Excitation,” Acta Mechanica Solida Sinica, 26, pp. 277291 (2013).
15. Wang, Y. Q., “Nonlinear Dynamic Response of Rotating Circular Cylindrical Shells with Precession of Vibrating Shape—Part II: Approximate Analytical Solution,” International Journal of Mechanical Sciences, 52, pp. 12081216 (2010).
16. Veldman, S. L., “Load Analysis of Inflatable Truncated Cones,” AIAA Conference, U.S.A (2003).
17. Veldman, S. L. and Bergsma, O. K., “Analysis of Inflated Conical Cantilever Beams in Bending,” AIAA Journal, 44, pp. 13451349 (2006).
18. Tan, H. F. and Du, Z. Y., “Research on Equivalent Bending Stiffness of Conical Inflated Beam,” Applied Mechanics & Materials, 229-231, pp. 444448 (2012).
19. Cowper, G. R., “The Shear Coefficient in Timoshenko's Beam Theory,” Journal of Applied Mechanics, 33, pp. 335340 (1967).
20. Li, Q., Numerical Analysis, 5th Edition, Tsinghua University press, Beijing, pp. 286290 (2001).
21. Wang, C., Du, X. and He, X., “Wrinkling Analysis of Space Inflatable Membrane Structures,” Chinese Journal of Theoretical and Applied Mechanics, 3, pp. 331338 (2008).

Keywords

Deformation Analysis of the Tapered Inflatable Beam

  • Z. Chen (a1), H. T. Zhao (a1), J. Chen (a1), Z. T. Zhang (a1) and D. P. Duan (a1)...

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed