A method of calculation of energy dissipation in hybrid composite structures

Vibration damping systems made of polymer composite materials are important elements of engineering, aerospace, and shipbuilding products. These systems, along with high specific elastic and strength properties, have significant dissipative characteristics, which makes it possible to create multifunctional power structures with high damping properties. A method for calculating the energy dissipation parameters in special types of composite structures made of hybrid materials with various types of fiber reinforcements and polymer matrices is presented. The method is based on the linear viscoelastic media model under steady-state vibrations and the asymptotic theory of laminated plates generalized to viscoelastic media. This theory makes it possible to accurately calculate all components of the stress tensor in thin multilayered composite plates under cyclic loading including interlayer transverse stresses and strains. The dissipative properties of multilayered fiber polymer composites are manifested mainly in these directions. This method was used for the numerical simulation of flexural vibrations of a viscoelastic plate made of hybrid laminated composite material containing glass and aramid fibers, as well as special MPVTA polymer layers. The results of analysis show that the energy dissipation is maximum in the MPVT-A polymer layers and in the layers containing viscoelastic aramid fibers. It has been found that the energy dissipation in a hybrid composite plate under flexural vibrations is maximum at a certain angle. This phenomenon can be used in the design of optimal structures of hybrid composite plates.

References

[1] Zinoviev P.A., Ermakov Y.N. Energy Dissipation in Composite Materials, Lancaster (USA), Technomic Publishing Co., 1994. 246 p.

[2] Smerdov A.A. Rasseianie energii pri kolebaniiakh kompozitnykh obolochek [Energy dissipation in vibration of composite shells]. Inzhenernyi zhurnal: nauka i innovatsii [Engineering Journal: Science and Innovation]. 2013, no. 7. Available at: http:// engjournal.ru/catalog/machin/rocket/858.html (accessed 28 August 2014).

[3] Zinov’ev P.A., Smerdov A.A., Kulish G.G. Experimental Investigation of Elastodissipative Characteristics of Carbon-Fiber-Reinforced Plastics. Mechanics of Composite Materials, 2003, vol. 39, no. 5, pp. 393–398.

[4] Ul’ianenko S.N., Magomedov G.M., Lebedev L.B., Mashinoskaia G.P., Zelenev Iu.V. Rol’mezhfaznogo sloia v formirovanii viazkouprugikh svoistv vysokoprochnogo organoplastika [Role in the formation of the interfacial layer of visco-elastic properties of high organoplastic]. Mekhanika kompozitnykh materialov [Mechanics of Composite Materials]. 1987, no. 3, pp. 414–419.

[5] Ushakov A.E., Klenin Iu.G., Sorina T.G., Khairetdinov A.Kh., Safonov A.A. Mostovye konstruktsii iz kompozitov [Bridge structures made of composite materials] Kompozity i nanostruktury [Composites and Nanostructures]. 2009, no. 3, pp. 25–37.

[6] Dimitrienko Iu.I., Iakovlev N.O., Erasov V.S., Fedoniuk N.N., Sborshchikov S.V., Gubareva E.A., Krylov V.D., Grigor’ev M.M., Prozorovskii A.A. Razrabotka mnogosloinogo polimernogo kompozitsionnogo materiala s diskretnym konstruktivno-ortotropnym zapolnitelem [Development of a multilayer polymer composite material with discrete structuralorthotropic fillers]. Kompozity i nanostruktury [Composites and Nanostructures]. 2014, vol. 6, no. 1, pp. 32–48.

[7] Dimitrienko Iu.I., Fedoniuk N.N., Gubareva E.A., Sborshchikov S.V., Prozorovskii A.A. Mnogomasshtabnoe konechno-elementnoe modelirovanie trekhsloinykh sotovykh kompozitnykh konstruktsii [Multiscale Finite-Element Modeling of Sandwich Honeycomb Composite Structures]. Nauka i obrazovanie. MGTU im. N.E. Baumana [Science and Education. Bauman MSTU]. 2014, no. 7. Available at: http://technomag.bmstu.ru/doc/717805.html (accessed 28 August 2014). Doi: 10.7463/0714.0717805.

[8] Solomatov V.I., Cherkasov V.D., Fomin N.E. Vibropogloshchaiushchie kompozitsionnye materialy [Vibration composite materials]. Saransk, Ogarev Mordovia State University publ., 2001. 95 p.

[9] Cherkasov V.D., Iurkin Iu.V., Avdonin V.V. Prognozirovanie dempfiruiushchikh svoistv kompozita s uchetom temperaturnoi zavisimosti svoistv polimera [Forecasting of Damping Properties of Composite According to the Temperature Dependences of Polymer Properties]. Vestnik TGASU [Vestnik of TSUAB]. 2012, no. 4, pp. 216–225.

[10] Matzenmiller A., Gerlach S. Micromechanical modeling of viscoelastic composites with compliant fiber–matrix bonding. Computational Materials Science, 2004, vol. 29, issue 3, pp. 283–300.

[11] Haasemann G, Ulbricht V. Numerical evaluation of the viscoelastic and viscoplastic behavior of composites. Technische Mechanik, 2010, vol. 30, no. 1–3, pp. 122–135.

[12] Masoumi S, Salehi M., Akhlaghi M. Nonlinear Viscoelastic Analysis of Laminated Composite Plates – A Multi Scale Approach. International Journal of Recent advances in Mechanical Engineering (IJMECH), 2013, vol. 2, no. 2, pp. 11–18.

[13] Dimitrienko Iu.I. Asimptoticheskaia teoriia mnogosloinykh tonkikh plastin [Asymptotic theory of multilayer thin plates]. Vestnik MGTU im. N.E. Baumana. Ser. Estestvennye nauki [Herald of the Bauman Moscow State Technical University. Ser. Natural Sciences]. 2012, no. 3, pp. 86–100.

[14] Dimitrienko Iu.I., Iakovlev D.O. Sravnitel’nyi analiz reshenii asimptoticheskoi teorii mnogosloinykh tonkikh plastin i trekhmernoi teorii uprugosti [Comparison analysis of asymptotic theory of multilayer composite plates and three-dimentional theory of elastisity]. Inzhenernyi zhurnal: nauka i innovatsii [Engineering Journal: Science and Innovations]. 2013, no. 7. Available at: http://engjournal.ru/catalog/mathmodel/technic/899.html (accessed 15 August 2014).

[15] Dimitrienko Iu.I., Gubareva E.A., Sborshchikov S.V. Asimptoticheskaia teoriia konstruktivnoortotropnykh plastin s dvukhperiodicheskoi strukturoi [Asymptotic theory of constructive-orthotropic plates with two-periodic structures]. Matematicheskoe modelirovanie i chislennye metody [Mathematical modeling and computational methods]. 2014, no. 1, pp. 36–57.

[16] Dimitrienko Iu.I., Iakovlev D.O. Asimptoticheskaia teoriia termouprugosti mnogosloinykh kompozitnykh plastin [Asymptotic theory of Thermoelasticity of Multilayer Composite Plates]. Mekhanika kompozitsionnykh materialov i konstruktsii [Journal on Composite Mechanics and Design]. 2014, vol. 20, no. 2, pp. 260–282.

[17] Sheshenin S.V. Asimptoticheskii analiz periodicheskikh v plane plastin [Asymptotic analysis of plates with periodic cross-sections]. Izvestiia Rossiiskoi akademii nauk. Mekhanika tverdogo tela [A Journal of Russian Academy of Sciences. Mechanics of Solids]. 2006, no. 6, pp. 57–63.

[18] Dimitrienko Iu.I. Mekhanika sploshnoi sredy. Osnovy mekhaniki tverdykh sred [Continuum Mechanics. Fundamentals of mechanics of solid media]. Moscow, Bauman Press, vol. 4, 2013. 580 p.

[19] Dimitrienko Iu.I. Mekhanika sploshnoi sredy. Tenzornyi analiz [Continuum Mechanics. Tensor analysis]. Moscow, Bauman Press, vol. 1, 2011. 463 p.

[20] Dimitrienko Iu.I., Sborshchikov S.V., Sokolov A.P., Shpakova Iu.V. Chislennoe modelirovanie protsessov razrusheniia tkanevykh kompozitov [Computational modeling of failure of textile composites]. Vychislitel’naia mekhanika sploshnykh sred [Computational continuum mechanics]. 2013, vol. 6, no. 4, pp. 389–402. Doi: 10.7242/1999-6691/2013.6.4.43.

[21] Paznikov E.A., Belousov A.M., Petrekov P.V., Nasonov A.D., Kalinin M.A. Issledovanie viazkouprugikh svoistv struktuturirovannogo tetrazolsoderzhashchego polimera akusticheskim metodom [Investigation of the viscoelastic properties of the polymer structured tetrazole acoustic method]. Polzunovskii vestnik [Polzunov Herald]. 2008, no. 1–2, pp. 63–65.

[22] Khoang Tkhe Vu, Osipchik V.S., Smotrova S.A., Gorbunova I.Iu. Vliianie dobavok elastomera na svoistva epoksidnykh kompozitsii [Influence of additives on the properties of epoxy elastomer composition]. Plasticheskie massy [International Polymer Science and Technology]. 2008, no. 4, pp. 32–34.