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Challenges in Mechanics of Time-Dependent Materials and Processes in Conventional and Multifunctional Materials, Volume 2 pp 41–53Cite as

An Identification Method for the Viscoelastic Characterization of Materials

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Abstract

A driving point dynamic load non destructive test can be used to determine the modal stiffness, damping and mass of a structure. If the constitutive equations of viscoelasticity consist of a combination of time independent elastic behavior and time dependent viscous behavior and can be modeled as a collection of spring-dashpot arrangements then the modal stiffness can be used to determine the time independent elastic behavior and the modal damping to determine the time dependent viscous behavior. Using a simple spring and dashpot in parallel model (Kelvin-Voigt), solutions for the material properties of uniform beams in axial deformation, torsion and bending will be given. For non-uniform beams, the elastic properties can be identified by the finite element method which is used to derive the equilibrium equations. The modal stiffness is used to get the zero frequency response (equivalent static response) which determines a single point in the global system flexibility matrix. The identification becomes a problem in minimizing the error norm of the equilibrium equations. Several numerical examples are presented, one of varying geometry and one of varying rigidity.

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References

  1. Yang NC (1972) Design of functional pavements. McGraw-Hill, New York

    Google Scholar 

  2. Yang D (2010) An identification method for the elastic characterization of materials. In: Proceedings of IMAC XXIX Jacksonville, FL

    Google Scholar 

  3. Christensen RM (1982) Theory of viscoelasticity. Academic, New York

    Google Scholar 

  4. Clough RW, Penzien J (1993) Dynamics of structures. McGraw-Hill, New York

    Google Scholar 

  5. Biggs JM (1964) Introduction to structural dynamics. McGraw-Hill, New York

    Google Scholar 

  6. Warburton GB (1976) The dynamical behaviour of structures. Pergamon Press, Oxford/New York

    Google Scholar 

  7. Yang D (1978) Response of multi-frequency pavement systems. Masters’ thesis, MIT

    Google Scholar 

  8. Roark RJ (1954) Formulas for stress and strain. McGraw-Hill, New York

    Google Scholar 

  9. Sanayei M, Scampoli SF (1991) Structural element stiffness identification from static test data. J Eng Mech, ASCE. 117(5):1021–1036.

    Google Scholar 

  10. Dennis BH, Jin W, Dulikravich GS, Jaric J (2011) Application of the finite element method to inverse problems in solid mechanics. Int J Struct Changes Solids 3(2):11–21

    Google Scholar 

  11. Aktas A (2001) Determination of the deflection function of a composite cantilever beam using theory of anisotropic elasticity. Math Comput Appl 6:67–74

    MATH  Google Scholar 

  12. Richardson MH, Formenti DL (1982) Parameter estimation from frequency response measurements using rational fraction polynomials. In: Proceedings of the 1st international modal analysis conference, Orlando, FL, 8–10 Nov 1982

    Google Scholar 

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Author information

Authors and Affiliations

  1. Research Associate, Day Software Systems, Inc., 209 Shelter Rock Rd, Stamford, CT, 06903, USA

    David Yang

Authors
  1. David Yang
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Corresponding author

Correspondence to David Yang .

Editor information

Editors and Affiliations

  1. Sandia National Laboratories, Livermore, 94550, USA

    Bonnie Antoun

  2. University of Colorado, Boulder, 80309-0430, USA

    H. Jerry Qi

  3. AirForce Research Laboratory, Wright-Patterson Air Force Base, 45433, USA

    Richard Hall

  4. University of Dayton Research Institute, Dayton, 45469-0101, USA

    G.P. Tandon

  5. University of Texas-Dallas, Dallas, 75080, USA

    Hongbing Lu

  6. University of Kentucky, Paducah, 42002, USA

    Charles Lu

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© 2013 The Society for Experimental Mechanics

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Yang, D. (2013). An Identification Method for the Viscoelastic Characterization of Materials. In: Antoun, B., Qi, H., Hall, R., Tandon, G., Lu, H., Lu, C. (eds) Challenges in Mechanics of Time-Dependent Materials and Processes in Conventional and Multifunctional Materials, Volume 2. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4241-7_7

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  • DOI: https://doi.org/10.1007/978-1-4614-4241-7_7

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-4240-0

  • Online ISBN: 978-1-4614-4241-7

  • eBook Packages: EngineeringEngineering (R0)

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