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Aeroviscoelasticity Designer FGMs: Passive Control Through Tailored Functionally Graded Materials

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Overview

This entry covers four distinct areas, namely, the interaction in a closed loop system of designer aerodynamics, of viscoelastic materials and structures, and of controls. The presence of varying temperatures not only induces thermal stresses but also strongly affects material properties. The effects of temperature on viscoelastic material properties as well as on flutter velocities and times to reach flutter conditions are discussed. It is shown that optimized FGM distribution can increase flutter velocities and lengthen the time to when flutter will occur.

Introduction

The confluence of designer aerodynamics, of viscoelastic materials and structures, and of controls in a closed loop dynamical system introduces several distinct problems in each of the four contributing areas as well as in their ensemble.

All functionally graded materials, or FGMs for short, are from a fundamental mechanics point of view nonhomogeneous materials where the property distributions are prescribed...

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References

  1. Aik KK (2003) Plasma sprayed functionally graded ZrO2/NiCoCrAlY thermal barrier coating. http://www.ntu.edu.sg/mae/research/programmes/adv_materials/FGM.htm

  2. Buttlar WG, Eshan VD, Harry HH,Glaucio HP (2012) Viscoelastic functionally graded materials: theory and applications. Appl Mech Rev, in press

    Google Scholar 

  3. Marzocca P, Fazelzaded SA, Hosseini M (2011) A review of nonlinear aero-thermo-elasticity of functionally graded panels. J Therm Stresses 34:536–568

    Google Scholar 

  4. Hilton HH (2011) Equivalences and contrasts between thermo-elasticity and thermo-viscoelasticity: a comprehensive critique. J Therm Stresses 34:488–535. doi:10.1080/01495739.2011.564010

    Google Scholar 

  5. Brinson HF, Catherine Brinson L (2008) Polymer engineering science and viscoelasticity: an introduction. Springer, New York

    Google Scholar 

  6. Drozdov AD (1998) Mechanics of viscoelastic solids. Wiley, New York

    MATH  Google Scholar 

  7. Hilton HH (2012) A rational integrated approach to designer systems of systems: tailored aerodynamics, aeroelasticity, stability and control, geometry, materials, structures, propulsion, performance, sizing, weight, cost. In: Proceedings AIAA complex aerospace system exchange event (CASE), AIAA Paper 2012-XXXX, Pasadena, CA, 2012

    Google Scholar 

  8. Liebeck RH (1973) A class of airfoils designed for high lift in incompressible flow. J Aircr 10:610–617

    Google Scholar 

  9. Anonymous (2000) Eppler airfoil design and analysis code. http://www.airfoils.com/eppler.htm

  10. Selig MS (2011) PROFOIL-WWW: Airfoil design software for the web. http://www.profoil.org

  11. Cagle CM, Robin WS (2007) Composite elastic skins for shape changing structures. NASA Tech Briefs LAR–16599–1. http://www.techbriefs.com/content/view/1113/34/

  12. Bloomfield MW, Herencia JE, Paul MW (2008) Optimization of anisotropic composite plates using an increased design envelope of ply orientations. In: Proceedings 49þAIAA/ASCE/ASME/AHS SDM conference, Schaumburg

    Google Scholar 

  13. Friswell MI, Herencia JE, Baker D, Paul MW (2008) The optimization of hierarchical structures with applications to morphing aircraft. In: Proceedings 2nd international conference on multidisciplinary design optimization and applications, www.asmdo.com/conference2008/

  14. Brinkmeyer AWM, Santer AP, Paul MW (2012) Morphing composite panel with pseudo-bistable viscoelastic behavior. In: SEM XII international congress & exposition on experimental and applied mechanics, SEM Paper 404

    Google Scholar 

  15. Bisplinghoff RL, Holt A, Robert LH (1955) Aeroelasticity. Addison-Wesley, Cambridge, MA, (1980) Dover Publications, New York

    MATH  Google Scholar 

  16. Scanlan RH, Rosenbaum R (1951) Introduction to the theory of aircraft vibration and flutter. Macmillan, New York

    Google Scholar 

  17. Fung YC (1955) An introduction to the theory of aeroelasticity. Wiley, New York

    Google Scholar 

  18. Bisplinghoff RL, Holt A (1962) Principles of aeroelasticity. Wiley, New York

    MATH  Google Scholar 

  19. Dowell EH (1975) Aeroelasticity of plates and shells. Noordhoff International, Leyden

    MATH  Google Scholar 

  20. Dowell EH, Ilganov M (1988) Studies in nonlinear aeroelasticity. Springer, New York

    MATH  Google Scholar 

  21. Hodges DH, Alvin Pierce G (2002) Introduction to structural dynamics and aeroelasticity. Cambridge University Press, New York

    Google Scholar 

  22. Dowell EH, Tang D (2003) Dynamics of very high dimensional systems. World Scientific, River Edge

    Google Scholar 

  23. Dowell EH, Robert C, David C, Howard CC Jr, John WE, Kenneth CH, David AP, Robert HS, Emil S, Fernado S, Thomas WS (2004) A modern course in aeroelasticity. Kluwer, Boston

    MATH  Google Scholar 

  24. Donaldson BK (2006) Introduction to structural dynamics. Cambridge University Press, New York

    Google Scholar 

  25. Wright JR, Cooper JE (2007) Introduction to aircraft aeroelasticity and loads. Wiley, Hoboken

    Google Scholar 

  26. Hilton H (1957) Pitching instability of rigid lifting surfaces on viscoelastic sup-ports in subsonic or supersonic potential flow. In: Advances in solid mechanics. Edwards Bros, Ann Arbor, pp 1–19

    Google Scholar 

  27. Hilton HH (1960) The divergence of supersonic, linear viscoelastic lifting surfaces, including chord-wise bending. J Aerosp Sci 27:926–934

    MATH  Google Scholar 

  28. Merrett CG, Harry HH (2012) Generalized linear aero-servo-viscoelasticity: theory and applications.AIAA J, in press

    Google Scholar 

  29. Weaver PM, Ashby MF (1996) The optimal selection of material and section shape. J Eng Des 7:129–150

    Google Scholar 

  30. Hilton HH, Yi S (1992) Analytical formulation of optimum material properties for viscoelastic damping. J Smart Mater Struct 1:113–122

    Google Scholar 

  31. Hilton HH, Lee DH, Abdul RA, Fouly E (2008) General analysis of viscoelastic designer functionally graded auxetic materials engineered/tailored for specific task performances. Mech Time Dep Mater 12:151–178

    Google Scholar 

  32. Merrett CG, Harry HH (2012) Linear aero-thermo-servo-viscoelasticity: parts I & II. In: Hetnarski RB (ed) Encyclopedia of thermal stresses, viscoelasticity section. Springer, Berlin

    Google Scholar 

  33. Beldica CE, Harry HH, Cyrille G (2001) The relation of experimentally generated wave shapes to viscoelastic material characterizations: analytical and computational simulations. In: Proceedings of the sixteenth annual technical conference of the American society for composites CD-ROM Vol. pp 1–11

    Google Scholar 

  34. Beldica CE, Hilton HH (1999) Analytical simulations of optimum anisotropic linear viscoelastic damping properties. J Reinf Plast Comp 18:1658–1676

    Google Scholar 

  35. Beldica CE, Harry HH (2011) Analytical and computational simulations of experimental determinations of deterministic and random linear viscoelastic constitutive relations. Accepted for publication. J Sandwich Struct Mater

    Google Scholar 

  36. Williams ML, Landel RF, Ferry JD (1955) The temperature dependence of relaxation mechanism in amorphous polymers and other glass-liquids. J Am Chem Soc 77:3701–3707

    Google Scholar 

  37. Schwarzl F, Staverman AJ (1952) Time-temperature dependence of linear viscoelastic behavior. J Appl Phys 23:838–843

    MATH  Google Scholar 

  38. Lagrange JL (1762) Essai d’une nouvelle methode pour déterminer les maxima et les minima des formules integrales indéfinies. Mélanges de philosophie et de mathématique de la Société Royale de Turin

    Google Scholar 

  39. Van Krevelen DW (1990) Properties of polymers: their correlation with chemical structure; their numerical estimation and prediction from additive group contributions, 3rd edn. Elsevier, Amsterdam

    Google Scholar 

  40. Anonymous (2009) http://www.ncsa.illinois.edu/News/Stories/Kramer/

  41. Anonymous (2011) http://www.ncsa.uiuc.edu/BlueWaters/

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Hilton, H.H. (2014). Aeroviscoelasticity Designer FGMs: Passive Control Through Tailored Functionally Graded Materials. In: Hetnarski, R.B. (eds) Encyclopedia of Thermal Stresses. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-2739-7_550

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