Abstract
The Aluminum plates are among the most commonly used structural elements. The use of more and more important, shows the imperative need of the study of their vibratory behavior and thus becomes of great importance and helps the engineers to design better structures. Vibration analysis is an important current topic, both from an academic and an industrial point of view. The latter affects many areas, such as space technology, naval and civil engineering, automotive, aeronautics, and bridges, buildings, or nuclear engineering.
Controlling vibrations in an aluminum plate is a thorny issue that is often a problem for the researcher and the engineer. To ensure this control, the determination of the dynamic characteristics of the plates is essential. The fundamental objective of this work is to study the dynamic behavior of aluminum isotropic rectangular plates through the use of ABAQUS to predict plate characteristics in both static and dynamic states. An experimental study is carried out on the apparatus of free vibrations TM 155 to study the vibratory behavior of the plates of aluminum and consequently to predict the levels of energy of vibration as a function of the frequency. Knowledge about the maximum deformation energy level frequency of the plate will be useful for protecting and increasing the life of the plate.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Zarza, T.: Étude paramétrique fréquentielle pour l’analyse libre d’une Plaque Rectangulaire mince isotrope avec différentes combinaisons d’appuis en utilisant la Méthode De Ritz. Université Mentouri Constantine, Algérie (2007)
Chladni, E.F.F.: Entdeckung Uber die Théorie des Klanges, Leipzig (1787)
Kirchhoff, G.: Vorlesungen uber Mathematics he Physik, vol. 1. B.G. Teubner, Leipzig (1776, 1876)
Rayleigh, L.: The théorie of Sound. The Macmillan Company (1877)
Rit, W.: Théorie Dertransversals Chwingungen einer Quadrastische Platte Mit Freien (1877)
Timoshenko, S.: On the correction of transverse shear déformation of the différentiel equations for transverse vibration of prismatique bars. Philos. Mag. 41(séries6), 744–746 (1921)
Timoshenko, S.: On the transverse vibration of bars of uniform cross section. Philos. Mag. 43(series6), 125–131 (1922)
Love, A.E.H.: A Treatise on the Mathematical Theory of Elasticity. Dover, New York (1944). Randern, Annalen der Physic 28, 737–736
Mindlin, R.D.: Influence of rotary inertia and shear on flexural motions of isotropic elastic plates. J. Appl. Mech. 18, 31–38 (1951)
Reissner, E.: The effect of transverse shear déformation on the bending of elastic plates. J. Appl. Mech. (12), A69–A77 (1945)
Uflyand, Y.S.: The propagation of waves in the transverse vibrations of bars and plates. Akad. Nauk. SSSR Prikl. Mat. Mech. 12, 287–300 (1948)
Warburton, G.B.: The vibration of rectangulaire plates. Proc. Inst. Mech. Eng. Sér. A 168, 371–384 (1954)
Leissa, A.W.: Vibration of Plates. NASA SP-160, Scientific and Technical Information Division of NASA, Washinton, US, DC (1969)
Lebée, A.: Homogénéisation de plaques périodiques épaisses, application aux panneaux sandwichs à âme pliable en chevrons. Université Paris Thèse Doctorat – EST (2010)
Leissa, A.W.: The free vibration of rectangular plate. J. Sound Vibr. 31, 257–293 (1973)
Leissa, A.W.: Recent research in plate vibration. The shock and vibration Digestsound and vibration, part II: complicated effects 19(3), 10–24 (1985)
Liew, K.M., et al.: Research on thick plate vibration: a literature survey. J. Sound Vibr. 180(1), 163–176 (1995)
Chellil, A., et al.: Mechanical characteristics on fatigue crack propagation in aluminium plate. Int. J. Comput. Syst. Eng. 8(5), 1018–1021 (2014)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this paper
Cite this paper
Chellil, A., Lecheb, S., Gahlouz, I., Mechakra, H., Djedid, T., Kebir, H. (2020). Identification of Defects and Fatigue of Aluminum Plates by Control of Vibration Characteristics. In: Benmounah, A., Abadlia, M.T., Saidi, M., Zerizer, A. (eds) Proceedings of the 4th International Symposium on Materials and Sustainable Development. ISMSD 2019. Springer, Cham. https://doi.org/10.1007/978-3-030-43268-3_7
Download citation
DOI: https://doi.org/10.1007/978-3-030-43268-3_7
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-43267-6
Online ISBN: 978-3-030-43268-3
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)