Modal Identification and Dynamic Response Assessment of a Tensairity Girder
Publication: Journal of Structural Engineering
Volume 143, Issue 2
Abstract
The dynamic analysis of a pneumatic beam structure, termed the Tensairity girder, is experimentally, numerically, and analytically studied. The structural concept of Tensairity relies on the combination of an airbeam with conventional struts, which leads in a light-weight structure of significant load-bearing capacity. By focusing on the analysis of the dynamic response of this structure, the objective of this work is to determine the pressure-dependent modal characteristics of the pneumatic beam and to couple these with the associated material properties. Based on the results of a modal identification procedure, relying on hammer and white noise excitation tests, a finite-element (FE) model is updated to reflect the actual system response. This procedure reveals the membrane’s shear modulus as the material property that more heavily relies upon the pressure level of the Tensairity girder. The experimental and numerical investigations indicate that the dynamic behavior of the beam can be expressed as a superposition of pressure dependent and pressure independent modes. The obtained insight allows for a better exploitation of the Tensairity in a new range of applications involving dynamic loading.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This work was in part supported by the Swiss National Science Foundation under Research Grant #200021-143212 titled “Implementation of Wireless Sensor Networks for Monitoring of Large Civil Structures.”
References
Allemang, R. J. (2003). “The modal assurance criterion-twenty years of use and abuse.” Sound Vibr., 14–21.
ANSYS 16.2 [Computer software]. ANSYS, Canonsburg, PA.
Apedo, K., Ronel, S., Jacquelin, E., and Tiem, S. (2014). “Free vibration analysis of inflatable beam made of orthotropic woven fabric.” Thin-Walled Struct., 78, 1–15.
Breuer, J. C., and Luchsinger, R. H. (2010). “Inflatable kites using the concept of Tensairity.” Aerosp. Sci. Technol., 14(8), 557–563.
Brincker, R., Zhang, L., and Andersen, P. (2001). “Modal identification of output-only systems using frequency domain decomposition.” Smart Mater. Struct., 10(3), 441–445.
Comer, R., and Levy, S. (1963). “Deflections of an inflated circular-cylindrical cantilever beam.” AIAA J., 1(7), 1652–1655.
Fichter, W. (1966). A theory for inflated thin-wall cylindrical beams, National Aeronautics and Space Administration (NASA), Washington, DC.
Galliot, C., and Luchsinger, R. H. (2013). “Structural behavior of symmetric spindle-shaped Tensairity girders with reinforced chord coupling.” Eng. Struct., 56, 407–416.
Gantner Instruments Incorporated. (2014). Q.brixx A108 multi channel module for dynamic voltages, reference data-sheet, Darmstadt, Germany.
Golinval, G. K. J. C. (2014). “Experimental modal analysis.” 〈http://www.ltas-vis.ulg.ac.be/cmsms/uploads/File/Mvibr_notes.pdf〉 (Aug. 2016).
Hall, A. (1973). An introduction to the mechanics of solids: Stresses and deformation in bars, Wiley, Australia.
James, G. H., III, Carne, T. G., and Lauffer, J. P. (1993). “The natural excitation technique (NExT) for modal parameter extraction from operating wind turbines.”, Albuquerque, NM.
Jenkins, C. (2001). “Gossamer spacecraft: Membrane and inflatable structures technology for space applications.” Progress in Astronautics and Aeronautics, Vol. 191, American Institute of Aeronautics and Astronautics, Reston, VA.
Jha, A. K., Inman, D. J., and Plaut, R. H. (2002). “Free vibration analysis of an inflated toroidal shell.” J. Vibr. Acoust., 124(3), 387–396.
Juang, J.-N., and Pappa, R. S. (1985). “An eigensystem realization algorithm for modal parameter identification and model reduction.” J. Guidance Control Dyn., 8(5), 620–627.
Luchsinger, R., Pedretti, A., Steingruber, P., and Pedretti, M. (2004). “The new structural concept tensairity: Basic principles.” Proc., Second Int. Conf. on Structural Engineering, Mechanics and Computation, CRC Press, FL, 323–328.
Luchsinger, R. H., and Crettol, R. (2006). “Experimental and numerical study of spindle shaped tensairity girders.” Int. J. Space Struct., 21(3), 119–130.
Luchsinger, R. H., and Galliot, C. (2013). “Structural behavior of symmetric spindle-shaped tensairity girders.” J. Struct. Eng., 169–179.
Luchsinger, R. H., Sydow, A., and Crettol, R. (2011). “Structural behavior of asymmetric spindle-shaped tensairity girders under bending loads.” Thin-Walled Struct., 49(9), 1045–1053.
Main, J. A., Carlin, R. A., Garcia, E., Peterson, S. W., and Strauss, A. M. (1995). “Dynamic analysis of space-based inflated beam structures.” J. Acoust. Soc. Am., 97(2), 1035–1045.
MATLAB [Computer software]. MathWorks, Natick, MA.
Miserentino, R., and Vosteen, L. F. (1965). “Vibration tests of pressurized thin-walled cylindrical shells.”, NASA, Washington, DC.
Molloy, S. J., Plaut, R. H., and Kim, J.-Y. (1999). “Behavior of pair of leaning arch-shells under snow and wind loads.” J. Eng. Mech., 663–667.
Moxey, L., and Hamidzadeh, H. (2003). “Free vibration of a thin-film inflated torus.” ASME 2003 Int. Mechanical Engineering Congress and Exposition, ASME, New York, 887–891.
Pedretti, A., Steingruber, P., Pedretti, M., and Luchsinger, R. (2004). “The new structural concept tensairity: Femodeling and applications.” Progress in structural engineering, mechanics and computations, A. Zingoni, ed., A.A. Balkema, London.
Pedretti, M., and Luscher, R. (2007). “Tensairity-patent-eine pneumatische tenso-struktur.” Stahlbau, 76(5), 314–319.
Plagianakos, T. S., Teutsch, U., Crettol, R., and Luchsinger, R. H. (2009). “Static response of a spindle-shaped tensairity column to axial compression.” Eng. Struct., 31(8), 1822–1831.
Plaut, R. H., Goh, J. K., Kigudde, M., and Hammerand, D. C. (2000). “Shell analysis of an inflatable arch subjected to snow and wind loading.” Int. J. Solids Struct., 37(31), 4275–4288.
Polyanin, A. D. (2004). “The world of mathematical equations.” 〈http://eqworld.ipmnet.ru/en/solutions/syspde/spde5102.pdf〉 (Sep. 2014).
Quigley, C. J., Cavallaro, P. V., Johnson, A. R., and Sadegh, A. M. (2003). “Advances in fabric and structural analyses of pressure inflated structures.” ASME 2003 Int. Mechanical Engineering Congress and Exposition, ASME, New York, 19–25.
Rao, S. S. (2007). Transverse vibration of beams, Wiley, Hoboken, NJ, 317–392.
Teutsch, U. (2009). “Tragverhalten von tensairity trägern.” Ph.D. thesis, Eidgenössische Technische Hochschule ETH Zürich, Zürich, Switzerland.
Thomas, J., Jiang, Z., and Wielgosz, C. (2006). “Continuous and finite element methods for the vibrations of inflatable beams.” Int. J. Space Struct., 21(4), 197–222.
Van, A. L., and Wielgosz, C. (2005). “Bending and buckling of inflatable beams: Some new theoretical results.” Thin-Walled Struct., 43(8), 1166–1187.
Wang, C., Xie, J., and Tan, H. (2015). “Vibration evaluation of wrinkled membrane inflated beam.” Mech. Adv. Mater. Struct., 22(5), 376–382.
Wever, T. E., Plagianakos, T. S., Luchsinger, R. H., and Marti, P. (2010). “Effect of fabric webs on the static response of spindle-shaped tensairity columns.” J. Struct. Eng., 410–418.
Wielgosz, C., Thomas, J., and Le Van, A. (2008). “Mechanics of inflatable fabric beams.” Int. Conf. on Computational and Experimental Engineering and Sciences, Vol. 5, Tech Science Press, Dulth, GA, 93–98.
Information & Authors
Information
Published In
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Aug 5, 2015
Accepted: Jul 12, 2016
Published online: Aug 31, 2016
Discussion open until: Jan 31, 2017
Published in print: Feb 1, 2017
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.