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Membrane Analogy for Sandwich Panels in Thermally or Piezoelectrically Induced Bending

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Mechanics of Sandwich Structures
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Abstract

In literature, a large amount of work has been devoted to the analysis of sandwich structures. This is because sandwiches may be tailored such that particular structural requirements can be matched with little waste of material capability, see e.g. the monographs by Baltema [1], Stamm and Witte [2], Wiedemann [3]. Since, however, the corresponding mathematical boundary-value problems turn out to be rather complex, a wide range of problems concerning the mechanics of sandwich structures remains to be treated, even for the case of static conditions. One of these problems is the development of benchmark formulations for sandwich panels with a plan-view of a more complex shape than the rectangular one frequently treated in the literature.

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References

  1. Plantema, F.J.: Sandwich Construction. John Wiley(1966)

    Google Scholar 

  2. Stamm, K., Witte, H. :Sandwichkonstruktionen. Springer-Verlag(1974)

    Book  MATH  Google Scholar 

  3. Wiedemann, J.: Leichtbau. Bd.l Springer-Verlag(1986)

    Google Scholar 

  4. Reissner, E.: Reflections on the Theory of Elastic Plates. Appl.Mech.Rev. 38(1985)

    Google Scholar 

  5. Mindlin, R.D.: Influence of Rotatory Inertia and Shear on the Flexural Motions of Isotropic Elastic Plates. J.Appl.Mech.18(1951)

    Google Scholar 

  6. Mindlin, R.D., Schacknow, A., Deresiewicz, H.: Flexural vibrations of rectangular plates. ASME J. Appl. Mech.(1956)

    Google Scholar 

  7. Ziegler, F. Mechanics of Solids and Fluids. 2nd ed. Springer Verlag(1985)

    Google Scholar 

  8. Ueng.C.E.S.: A Note on the Similarities between the Analyses of Homogenous and Sandwich Plates. J.Appl.Mech.(1966)

    Google Scholar 

  9. Yan, M.J., Doweü, E.H.: Elastic Sandwich Beam or Plate Equations Equivalent to Classical Theory.J. Appl.Mech.41 (1974)

    Google Scholar 

  10. Irschik, H. : On Vibrations of Layered Beams and Plates. ZAMM 73(1993)

    Google Scholar 

  11. Haftka, R.T., Adelman, H.M., An Analytical Investigation of Static Shape Control of Large Space Structures by Applied Temperature, AIAA-Journal, 23 (1985)

    Google Scholar 

  12. Irschik, H., Pachinger, F.: On Thermal Bending of Moderately Thick Polygonal Plates with Simply Supported Edges. Journal of Thermal Stresses 18 (1995)

    Google Scholar 

  13. Rao, S.F. and Sunar, M., (1994), “Piezoelectricity and its use in disturbance sensing and control of flexible structures”, Applied Mechanic Reviews, Vol. 47, pp. 113–123.

    Article  ADS  Google Scholar 

  14. Irschik, H., Schlacher, K., Haas, W.: Output annihilation and optimal H2 control of plate vibrations by piezoelectric actuation . In: Proc. IUTAM-Symp. on Interactions Between Dynamics and Control in Advanced Mechanical Systems (D. Van Campen, Ed.), p. 159–166.Dordrecht: Kluwer 1997.

    Chapter  Google Scholar 

  15. Vinson, J. R., (1992), The Behavior of Shells Composed of Isotropic and Composite Materials, Kluwer.

    Google Scholar 

  16. Rschik, H.:Membrane-Type Eigenmotions of Mindlin Plates. IActa Mechanica 55 (1985), 1–20.

    Article  Google Scholar 

  17. Irschik, H.: Stability of Skew Mindlin Plates Under Isotropic In-Plane Pressure. Disc. of ASCE Paper No. 3706. Journal of Engineering Mechanics 10, (1994), 2243–2245.

    Article  Google Scholar 

  18. Austin, F., Rossi, M.J., Van Nostrad, W., Knowles, G., and Jameson, A.: Static Shape Control of Adaptive Wings, AIAA-Journal 32 (1994), 1895–1901.

    Article  ADS  Google Scholar 

  19. Varadajan, S., Chandrashekara, K., and Agarwal, S.: Adaptive Shape Control of Laminated Composite Plates Using Piezoelectric Materials. Proc. AIAA/ASME/AHS Adaptive Structures Forum, Salt Lake C., UT, 1996 (Martinez, D., Chopra, I., eds.), 197–206, AIAA-Paper No. 96–1288.

    Google Scholar 

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© 1998 Springer Science+Business Media Dordrecht

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Hagenauer, K., Irschik, H. (1998). Membrane Analogy for Sandwich Panels in Thermally or Piezoelectrically Induced Bending. In: Vautrin, A. (eds) Mechanics of Sandwich Structures. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9091-4_14

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  • DOI: https://doi.org/10.1007/978-94-015-9091-4_14

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5027-4

  • Online ISBN: 978-94-015-9091-4

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