Abstract
Well-known advantages of cellular metals are their high ability for energy absorption, good damping behaviour, sound absorption and a high specific stiffness. Metallic hollow sphere structures (MHSS) feature a new group of advanced composite materials characterised by high geometrical reproducibility leading to stable properties in comparison to foams. This paper presents a Finite Element (FE) model for vibration analysis of MHSS. Due to the fact that an extraordinary detailed model would exceed available computing resources we developed a proper FE model with special description for hollow spheres and interconnections. Our approach uses model configurations such as cubic centred, face centred or hexagonal closest packing structures. We perform vibration analysis using the real geometry gained by Computed Tomography (CT) images. The location, centre point and radius of each sphere have to be determined for a CT based simulation. Therefore, an image processing method will be presented in detail. The numerical results for different structures are compared with experimental data.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
N.N., Metal foam – News. Composites 2, 11 (1971)
H. Bray, Design opportunities with metal foam. Eng. Mater. Des. 16, 16–16 (1972)
R.R. Barton, F.W.S. Carter, T.A. Roberts, Use of reticulated metal foam as flash-back arrestor elements. Chem. Eng. 291, 708–708 (1974)
J. Banhart, Manufacture, characterisation and application of cellular metals and metal foams. Prog. Mater. Sci. 46, 559–632 (2001)
J. Baumeister, überblick – Verfahren zur Herstellung von Metallschäumen. Technische Mitteilungen. 92, 94–99 (1999)
A.G. Evans, J.W. Hutchinson, M.F. Ashby, Multifunctionality of cellular metal systems. Prog. Mater. Sci. 43, 171–221 (1999)
S.L. Lopatnikov, B.A. Gama, J.W. Gillespie, Modeling the progressive collapse behaviour of metal foams. Int. J. Impact Eng. 34, 587–595 (2007)
I.S. Golovin, H.R. Sinning, Damping in some cellular metallic materials. J. Alloys Compd. 355, 2–9 (2003)
I.S. Golovin, H.R. Sinning, Internal friction and damping behaviour of metallic foams and some related structures. Mat. Sci. Eng. 370, 504–511 (2004)
R. Neugebauer, T. Hipke, J. Hohlfeld, R. Thümmler, Metal foam as a combination of lightweight engineering and damping. In Cellular Metals and Polymers, ed. by R.F. Singer, C. Krner, V. Altstdt, H. Mnstedt (Trans Tech Publications, Zuerich, 2005), pp. 13–18
J. Hübelt, G. Bingel, Excellent sound absorption by metal hollow sphere structures. Cellmet News 1, 1–2 (2006)
T.J. Lu, C. Chen, Thermal transport and fire retardance properties of cellular aluminium alloys. Acta Mater. 47, 1469–1485 (1999)
J.W. Paek, B.H. Kang, S.Y. Kim, J.M. Hyun, Effective thermal conductivity and permeability of aluminum foam materials. Int. J. Thermophys. 21, 453–464 (2000)
M.F. Ashby, A. Evans, N.A. Fleck, L.J. Gibson, J.W. Hutchinson, H.N.G. Wadley, Metal Foams: A Design Guide (Butterworth-Heinemann, Boston, MA, 2000)
T. Fiedler, A. Öchsner, J. Grácio, G. Kuhn, Modelling the mechanical behaviour of adhesively bonded and sintered hollow-sphere structure. Mech. Compos. Mater. 41, 405–422 (2005)
Alm GmbH, Big AFS test structure for Ariane rocket V booster. Cellmet News 1, 4–4 (2006)
J. Zhou, P. Shrotriya, W.O. Soboyejo, On the deformation of aluminum lattice block structures: From struts to structures. Mech. Mater. 36, 723–737 (2004)
A. Rousset, J.P. Bonino, Y. Blottiere, C. Rossignol, Process for the Production of Porous Metal Bodies. French Patent 8707440, 1987
H.P. Degischer, B. Kriszt, Handbook of Cellular Metals (Wiley-VCH, Germany, 2002)
T. Fiedler, A. Öchsner, On the thermal conductivity of adhesively bonded and sintered hollow sphere structures (HSS). Mater. Sci. Forum 553, 39–44 (2007)
H.J. Böhm, D.H. Pahr, T. Daxner, Computional and Experimental Mechanics of Advanded Materials, Chapter Analaytical and Numerical Methods for Modeling the Thermomechanical and Thermophysical Behavior ofMicrostructuredMaterial (Springer, Vienna, 2009), pp. 167–223
H. Schulz-Mirbach, Invariant features for gray scale images. Proceedings of DAGM Annual Pattern Recognition Symposium, Bielefeld (1995)
J. Fehr, O. Ronneberger, J. Schulz, T. Schmidt, M. Reisert, H. Burkhardt, Invariance via group-integration: A feature framework for 3D biomedical image analysis. Proceedings of Computer Graphics and Imaging (CGIM), Innsbruck, Austria (2008)
J. Schulz, T. Schmidt, O. Ronneberger, H. Burkhardt, T. Pasternak, A. Dovzhenko, K. Palme, Fast scalar and vectorial grayscale based invariant features for 3D cell nuclei localization and classification. Proceedings of DAGM Annual Pattern Recognition Symposium, New York, NY (2006)
D.H. Ballard, Generalizing the Hough transform to detect arbitrary shapes. Pattern Recognit. 13, 111–122 (1981)
R. Winkler, M. Merkel, A. Öchsner, W. Günter, On the vibration analysis of adhesively bonded hollow sphere structure. Materialwiss. Werkst. 39, 139–142 (2008)
A. Öchsner, C. Augustin, Multifunctional Metallic Hollow Sphere Structure (Springer, Berlin, 2009)
Acknowledgements
We acknowledged the kind help of Timo Bernthaler, Ralf Löffler (Materials Engineering, University Aalen, Germany) and Walter Leis (GTA Foundry Technology Aalen, Germany) for X-ray scanning our MHSS Samples. We thank Glatt Company for providing material. Janina Schulz was with the Chair of Pattern Recognition and Image Processing of the Albert-Ludwigs-University of Freiburg, Germany, while contributing to this work.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Winkler, R., Schulz, J., Merkel, M., Öchsner, A. (2010). Finite Element Vibration Analysis of MHSS Based on 3D Tomography Image Processing. In: Öchsner, A., da Silva, L., Altenbach, H. (eds) Materials with Complex Behaviour. Advanced Structured Materials, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12667-3_15
Download citation
DOI: https://doi.org/10.1007/978-3-642-12667-3_15
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-12666-6
Online ISBN: 978-3-642-12667-3
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)