Application of Experimental Modal Analysis for Identification of Laminated Carbon Fiber-Reinforced Plastics Model Parameters

  • M. Sh. Nikhamkin
  • S. V. SemenovEmail author
  • D. G. Solomonov
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)


Modal characteristics (natural frequencies and vibration modes) estimation is a common way to avoid resonance vibrations in constructions. It requires reliable data about mechanical properties of the material. In the case, when the polymer composites’ determination of such characteristics is difficult (in comparison of isotropic materials), because of a greater amount of elasticity characteristics and their dependency on wide range of structural and technological factors. Also, most of the literature and open sources contain controversial data about composite material properties, and in case of crucial constructions calculations, it would be better to perform an additional experimental identification of these properties. The aim of this paper is to create elastic vibration model parameters identification method for polymer composites using experimental modal analysis. The object of research is laminated carbon fiber-reinforced plastic based on a full strength carbon material widely used in aviation. An experimental determination of natural frequencies and corresponding vibration modes was performed using 3D scanning laser vibrometry. Finite-element analysis was used for numerical determination of modal characteristics. The material model used in calculations is a laminated composite structure with orthotropic, linear, and elastic layers. Identification of parameters was performed as a minimization problem of discrepancy between natural frequencies for corresponding vibration modes obtained numerically and experimentally. The problem solving was performed using a quasi-random search method. The proposed method can be recommended for material properties determination required for a modal analysis of polymer composite structures.


Polymer composites CFRP Mechanical properties Modal analysis 3D vibrometry FEM Model updating 



The reported study was partially supported by the Government of Perm Krai, research project No. C-26/790 from 21.12.2017.


  1. 1.
    Inozemcev AA, Nihamkin MSh, Sandrackij VL (2008) Fundamentals of aircraft engine design and power plants. Series: gas turbine engines, vol 2. Mechanical Engineering, Moscow, p 368Google Scholar
  2. 2.
    Savin SP (2012) The use of modern polymer composite materials in the design of the airframe for the MS-21 family aircraft. Izv Samara Sci Cent Russ Acad Sci 14,4(2):686–693Google Scholar
  3. 3.
    Anoshkin AN, Zuyko VYu, Shipunov GS, Tretyakov AA (2014) Technologies and tasks of mechanics of composite materials for creation of a rectifier blade of an aircraft engine. Vestnik PNIIP. Mechanics 4:5–44Google Scholar
  4. 4.
    Kelly A (2009) The engineering triumph of carbon fibers. Compos Nanostruct 1:38–49Google Scholar
  5. 5.
    Strelyaev DV, Umushkin BP, Nikonov VV (2012) Perspective composite materials in the constructions of aviation and space technology. Moscow State Technical University, Moscow, p 73Google Scholar
  6. 6.
    Skvortsov YuV (2013) Lecture notes on the discipline of the mechanics of composite materials. SSAU, Samara, p 94Google Scholar
  7. 7.
    Leontyev NV (2006) Application of the ANSYS system to the solution of modal and harmonic analysis problems. UNN, Nizhny Novgorod, p 101Google Scholar
  8. 8.
    Grinev MA, Anoshkin AN, Pisarev PV et al (2016) Calculation and experimental studies of natural frequencies and vibration modes of the blade of a rectifying apparatus made of polymer composite materials. Herald of PIDPU. Mechanics 4:106–119Google Scholar
  9. 9.
    Nihamkin MSh, Semenova IV (2011) Concentration of stresses in the compressor blades damaged by foreign objects. News of higher educational institutions. Aviat Equip 4:15–18Google Scholar
  10. 10.
    Efimik VA (2014) The application of the finite element method to the problem of the public transformations of rectangular plates and cylindrical shells. Herald of PIDPU. Aerosp Eng 38:72–92Google Scholar
  11. 11.
    Laxalde D, Thouverez F, Sinou J-J, Lombard J-P, Baumhauer S (2007) Mistuning identification and model updating of an industrial blisk. Int J Rotating Mach 2007:10. Scholar
  12. 12.
    Tkach VV (2010) The application of modal analysis in a multidisciplinary study, LRE. Electron J Proc MAI (38)Google Scholar
  13. 13.
    Bezmozgiy IM, Sofinsky AN, Chernyagin AG (2014) Modeling in the problems of vibration resistance of rocket and space engineering structures. Space Tech Technol 3(6):71–80Google Scholar
  14. 14.
    Mezhin VS, Obukhov VV (2014) The practice of applying modal tests for the verification of finite element models of the design of rocket and space equipment. Aerosp Equipment Technol 1(4):86–91Google Scholar
  15. 15.
    Nikolaev SM, Zhulyov VA, Kiselev IA, Voronov PS (2014) Method of refining the finite element model of a mechanical system using sensitivity analysis. Science and education. MSTU them. NE Bauman. Electron J 12:128–136Google Scholar
  16. 16.
    Nikolayev SM, Zhulyov VA, Kiselev IA (2015) Refinement of the finite-element model of the GTE blade based on the results of vibration tests taking into account the spread of the modal parameters. Science and education. MSTU them. NE Bauman. Electron J 9:336–351Google Scholar
  17. 17.
    Kalinenkova AO (2015) Investigation of honeycomb core properties according to the results of dynamic tests. Youth scientific and technical collection. Electron J 12Google Scholar
  18. 18.
    ASTM D 3039/D 3039 M (2014) Standard test method for tensile properties of polymer matrix composite materials. ASTM International, West Conshohocken, USAGoogle Scholar
  19. 19.
    ASTM D 3479 (2012) Standard test method for tension-tension fatigue of polymer matrix composite materials. ASTM International, West Conshohocken, USAGoogle Scholar
  20. 20.
    Ewins DJ (2000) Modal testing: theory, practice and application, 2nd edn. Research Studies Press Ltd, BaldockGoogle Scholar
  21. 21.
    Heylen W, Lamens S, Sas P (2003) Modal analyses. Theory and testing. Leven Univ, Belgium, p 325Google Scholar
  22. 22.
    Inozemtsev AA, Nihamkin MSh, Voronov LV et al (2010) Technique of experimental modal analysis of blades and impellers of gas turbine engines. Heavy Mech Eng 11:2–6Google Scholar
  23. 23.
    Vibration measurements in the aerospace industry. Advancing measurements by Ligh Polytec.
  24. 24.
    Inozemtsev AA, Nihamkin MSh, Voronov LV, Gladky IL, Golovkin AYu, Bolotov BP (2010) Experimental and calculated modal analysis of fan blades of hollow construction. Aviat Ind 3:8–11Google Scholar
  25. 25.
    Grinev MA, Anoshkin AN, Pisarev PV, Zuyko VYu, Shipunov GS (2015) Computer simulation of the mechanical behavior of the composite blade of the rectifying apparatus of an aircraft engine. Herald of PIDPU. Mechanics 3:38–51Google Scholar
  26. 26.
    Zenkiewicz O (1975) Finite element method in engineering. Mir, Moscow, p 542Google Scholar
  27. 27.
    Grinev MA, Anoshkin AN, Pisarev PV, Zuyko VYu, Shipunov GS (2015) Research of VAT and an estimation of durability of a composite blade of rectifying device of the aviation engine. Mechanics 4:293–307Google Scholar
  28. 28.
    Kolmogorov GL, Lezhneva AA (2005) Optimal design of structures: textbook. PSTU, Perm, p 168Google Scholar
  29. 29.
    Alekseeva EV, Kutnenko OA, Plyasunov AV (2008) Numerical optimization methods: proc. allowance. Novosib. University, Novosibirsk, p 128Google Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • M. Sh. Nikhamkin
    • 1
  • S. V. Semenov
    • 1
    Email author
  • D. G. Solomonov
    • 1
  1. 1.Perm National Research Polytechnic UniversityPermRussia

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